Sec' 9'3 Perimeter and Area

1
Sec. 9.3 Perimeter and Area
Formulas
2
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
3
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
4
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
5
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
6
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
l
7
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
l
8
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
h
l
b
9
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
10
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
11
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
Parallelogram
h
b
12
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
Parallelogram
h
b
13
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
Parallelogram
h
b
b2
Trapezoid
h
b1
14
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
Parallelogram
h
b
b2
Trapezoid
h
b1
15
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
Parallelogram
h
b
b2
Trapezoid
h
b1
16
Sec. 9.3 Perimeter and Area
Formulas
d
r
Circle
Circumference
or
Rectangle
w
Triangle
h
l
b
Parallelogram
h
b
b2
Trapezoid
h
b1
or
17
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

18
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

50 ft
21 ft
19
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
50 ft
21 ft
20
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
1050sq ft
50 ft
21 ft
21
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
1050sq ft
50 ft
21 ft
22
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
1050sq ft
5.25
50 ft
21 ft
23
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
1050sq ft
5.25
6 cans
50 ft
21 ft
24
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
1050sq ft
5.25
6 cans
50 ft
6 (25)
21 ft
25
Sec. 9.3 Perimeter and Area

• You are coating your driveway with blacktop
  sealer. One can of
• sealer costs 25 and covers 200 square feet.
  If your driveway is
• 50 feet long and 21 feet wide,
• a. find the area of your driveway
• b. determine how many cans of blacktop
  sealer are needed, and
• c. determine the cost of sealing your
  driveway

(50ft)(21ft)
1050sq ft
5.25
6 cans
50 ft
6 (25) 150
21 ft
26
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
B 3 C
3a. Determine the height of the isosceles
triangle ABC
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
27
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
B 3 C
3a. Determine the height of the isosceles
triangle ABC
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
28
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
3a. Determine the height of the isosceles
triangle ABC
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
29
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
25 c2
3a. Determine the height of the isosceles
triangle ABC
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
30
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
25 c2
3a. Determine the height of the isosceles
triangle ABC
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
31
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
32
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
33
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
13 in
13 in
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
34
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
13 in
13 in
-25
-25
h
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
35
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
13 in
13 in
-25
-25
h
h2 144
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
36
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
13 in
13 in
-25
-25
h
h2 144
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
37
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
h 12in
13 in
13 in
-25
-25
h
h2 144
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
38
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
h 12in
13 in
13 in
-25
-25
h
h2 144
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
39
Sec. 9.3 Perimeter and Area
A
2. Determine c in triangle ABC
c
4
32 42 c2
9 16 c2
B 3 C
5 c
25 c2
3a. Determine the height of the isosceles
triangle ABC
52 h2 132
B
25 h2 169
h 12in
13 in
13 in
-25
-25
h
h2 144
A
C
5 in
5 in
b. Determine the area of the triangle
10 in
A 60 sq in
40
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

41
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

42
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
16 in
14 in
43
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
16 in
14 in
44
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
16 in
14 in
45
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
16 in
14 in
46
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
16 in
14 in
sq.in
47
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
A (14)(14)
16 in
14 in
sq.in
48
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
A (14)(14)
16 in
14 in
A 196sq,in
sq.in
49
Sec. 9.3 Perimeter and Area

• At a local pizza shop the price for a large
  cheese pizza is 8.99. There is a choice of
  buying either a 16 inch round pizza or a 14 inch
  square pizza. As we were enjoying our pizza one
  day, we wondered how we could compare these two
  pizzas and which one would give us more pizza for
  our money. Is the square pizza or the round
  pizza the better buy?

Area of Circle
Area of Square
14 in
A (14)(14)
16 in
14 in
A 196sq,in
sq.in
Better Buy
50
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
40 ft
60 ft
20 ft
House
Drive way
20 ft
10 ft
51
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
20 ft
House
Drive way
20 ft
10 ft
52
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
Ahouse 40 20 800
20 ft
House
Drive way
20 ft
10 ft
53
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
10 ft
54
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
55
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
56
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
57
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
58
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
3539 sq. ft.
100 sq. ft.
59
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
3539 sq. ft.
100 sq. ft.
60
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
3539 sq. ft.

35.39 bags
100 sq. ft.
61
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
3539 sq. ft.

35.39 bags
100 sq. ft.
36 bags are needed
62
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
3539 sq. ft.

35.39 bags
100 sq. ft.
36 bags are needed
Total cost
1.25 36
63
Sec. 9.3 Perimeter and Area
5. You plan to fertilize your lawn. The
shapes and dimensions of your lot, house,
pool, and shed are shown below. Those
areas will not be fertilized. One bag of
fertilizer costs 1.25 and covers 100 square
feet. Determine a. how many bags of
fertilizer are needed? b. the total
cost of the fertilizer.
80 ft
shed
pool
10 ft
16 ft
6 ft
Aproperty 80 60 4800
40 ft
60 ft
1261
Ahouse 40 20 800
20 ft
House
Adriveway 20 10 200
Drive way
20 ft
Ashed 10 6 60
10 ft
Apool 82
3539 sq. ft.
3539 sq. ft.

35.39 bags
100 sq. ft.
36 bags are needed
45
Total cost
1.25 36
64
Sec. 9.4 Volume
Formulas
65
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
66
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
67
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
Cylinder
r
h
68
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
Cylinder
r
h
69
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
Cylinder
r
h
Cone
h
r
70
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
Cylinder
r
h
Cone
h
r
71
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
Cylinder
r
h
Cone
h
r
Sphere
72
Sec. 9.4 Volume
Formulas
Rectangular Solid
h
w
l
Cylinder
r
h
Cone
h
r
Sphere
73
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

74
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
75
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
76
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
77
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
78
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
79
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
80
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
81
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
82
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
83
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
2 75
84
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?
• b. If one cubic yard of concrete costs
  75,
• how much will the concrete for the
  patio cost?

HINT Convert all units to yards first
9 ft
12 ft
6 in
2 75 150
85
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?

NOTE
1 cu yd
1yd
(3 ft)
1yd
(3 ft)
1yd
(3 ft)
86
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?

NOTE
1 cu yd
1yd
(3 ft)
1yd
(3 ft)
1yd
(3 ft)
87
12 in 1 ft 3 ft 1 yd 36 in 1 yd
Sec. 9.4 Volume

• A patio is to be built of concrete. The base of
  the patio is to be a
• slab of concrete 12 feet long by 9 feet
  wide by 6 inches thick.
• a. How many cubic yards of concrete are
  needed?

NOTE
1 cu yd
27 cu ft
1yd
(3 ft)
1yd
(3 ft)
1yd
(3 ft)
88
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
89
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
90
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
91
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
92
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
93
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
94
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
95
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
weight of the water in the pool V(62.5)
96
Sec. 9.4 Volume
4 ft
16 ft
2a. How many cubic feet of water are needed
to fill a 16-foot-diameter swimming
pool that is 4 feet high?

• If there are 7.5 gallons of water per cubic foot
  of water,
• how many gallons of water does the pool
  hold?

c. If one cubic foot of water weighs 62.5
pounds, what is the weight of the
water in the pool?
weight of the water in the pool V(62.5)
97
Sec. 9.4 Volume
3. Find the volume of the
triangular prism
10 in
8 in
4 in
98
Sec. 9.4 Volume
3. Find the volume of the
triangular prism
10 in
8 in
4 in
99
Sec. 9.4 Volume
3. Find the volume of the
triangular prism
10 in
8 in
4 in
100
Sec. 9.4 Volume
3. Find the volume of the
triangular prism
10 in
8 in
4 in
101
Sec. 9.4 Volume
3. Find the volume of the
triangular prism
10 in
8 in
4 in