FORMULAS

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FORMULAS

• Perimeter
• Area
• Square
• Rectangle
• Triangle
• Parallelogram
• Circles

• Circumference
• Surface Area
• Cube
• Rectangular Prism
• Volume
• Cube
• Rectangular Prism

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Perimeter
Perimeter is the distance around an object. To
find the perimeter of any polygon, add up all of
the sides!

• Examples
• 4 5 12
• Perimeter 12 m

7 yd.
5 m
3 m
4 yd.
4 m
7 4 7 4 22 yd Perimeter
22 yd
Dont forget to label your answers!
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Area of a Square
QUIZ
Area is the number of SQUARE units it takes to
cover a surface. To find the area of a square,
use this formula Area side x side A s x
s A 9 x 9 A 81 square meters
9 m
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Area of a Rectangle
QUIZ
Area is the number of SQUARE units it takes to
cover a surface. To find the area of a
rectangle, use this formula Area length x
width A l x w A 9 x 7 A 63
square centimeters
7 cm
9 cm
5
Area of a Triangle
QUIZ
Area is the number of SQUARE units it takes to
cover a surface. To find the area of a
triangle, use this formula Area base x
height 2 A b x
h 2 A 10 x 5
2 A 50 25 square
kilometers 2
5 km
10 km
The height is the number with the 90 degree angle.
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Area of a Parallelogram
QUIZ
Area is the number of SQUARE units it takes to
cover a surface. To find the area of a
parallelogram, use this formula Area base x
height A b x h A 10 x 4 A 40
square meters
5 m
4 m
10 m
The height is the number with the 90 degree angle
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Area of a Circle
QUIZ
You MUST use the radius to find the area of a
circle! ? is the symbol for Pi. It is a
non-terminating decimal.
Area Pi x radius x radius A ? x r x
r A ? x 5 x 5 A 25 ?m2
5 m

Leave your answer in terms of ?.
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Circumference
QUIZ
The distance around a circle. You can use the
radius or diameter to find the answer.
Circumference Pi x diameter C ? x
10 C ? x 10 C 10 ? m
? is the symbol for Pi. It is approximately
equal to 3.14

10 m

OR Circumference Pi x radius x 2 C ? x
r x 2 C ? x 5 x 2 C 10 ? m


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Volume of a Cube
QUIZ
Volume is the number of cubic units it takes to
fill a 3-dimensional figure.
Volume edge x edge x edge V e x
e x e V 4 x 4 x 4 V 64 cubic meters
4 m
4 m
4 m
Remember Volume is measured in cubic units!
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Volume of a Rectangualr Prism
QUIZ
Volume is the number of cubic units it takes to
fill a 3-dimensional figure.
Volume length x width x height V l
x w x h V 4 x 5 x 8 V 160 cubic
meters
4 m
5 m
Remember Volume is measured in cubic units!
8 m
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Surface Area of a Cube
QUIZ
The number of square units it takes to cover all
of the faces of a 3-dimensional figure.
Surface Area side x side x 6 SA s x
s x 6 SA 4 x 4 x 6 SA 96 square
meters
4 m
4 m
4 m
We multiply by 6 because there are 6 faces on a
cube!
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Surface Area of a Rectangular Prism
QUIZ
The number of square units it takes to cover all
of the faces of a 3-dimensional figure.
Surface Area length x width length x width
length x height length x height width
x height width x height

• X 4 32
• 8 X 4 32
• 8 X 5 40
• 8 X 5 40
• X 4 20
• 5 X 4 20

Add up all of the answers and this is your
surface area. 184 square meters
5 m
4 m
8 m
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QUIZ
Find the area and the perimeter of the
following 12 m Area 8 m a.
20 m b. 96 square meters c. 40
m d. 40 square meters
Perimeter a. 20 m b. 96 square
meters c. 40 m d. 40 square
meters
REVIEW PERIMETER REVIEW AREA
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QUIZ
Find the area and the perimeter of the
following 8 m
Area 8 m a. 64 m b. 16
square meters c. 32 m d. 64
square meters Perimeter a.
64 m b. 16 square meters c. 32
m d. 64 square meters
REVIEW PERIMETER REVIEW AREA
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QUIZ
Find the area and the circumference of the
following
Area a. 36? yds2 b. 6 ?
yds2 c. 3 ? yds2 d. 9 ?
yds2 Circumference a. 36?
yds b. 6 ? yds c. 3 ? yds d.
9 ? yds
Use the radius for area!
6 yd
REVIEW Circumference REVIEW AREA
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QUIZ
Find the area and the perimeter of the
following
Area a. 105 sq. ft. b. 48
sq. ft. c. 48 ft. d. 105
ft. Perimeter a. 105 sq.
ft. b. 48 sq. ft. c. 48
ft. d. 105 ft.
15 ft.
9 ft
7 ft
REVIEW PERIMETER REVIEW AREA
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QUIZ
Find the area and the perimeter of the
following
Area a. 64 meters b.
192 sq. meters c. 82 meters d.
240 sq. meters
Perimeter a. 64 meters b.
192 sq. meters c. 82 meters d.
240 sq. meters
20 meters
20 meters
16 meters
24 meters
REVIEW PERIMETER REVIEW AREA
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QUIZ
Find the volume and the surface area of the
following
Surface Area a. 236 cubic
feet b. 472 square feet c. 672
square feet d. 672 cubic feet
Volume a. 236 cubic
feet b. 472 sq.ft. c. 672
square feet d. 672 cubic feet
7 feet
12 feet
8 feet
Review Volume Review Surface Area
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QUIZ
Find the volume and the surface area of the
following
Surface Area a. 1728 cubic
yards b. 864 yards c. 1728
square yards. d. 864 square
yards. Volume a. 1728
cubic yards. b. 864 square yards c.
1728 square yards. d. 864 cubic
yards.
Each edge equals 12 yards
Review Volume Review Surface Area
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