Construction

1
Construction

• Building a Barn

2
Here is our problem
What is the area?(so we know if the barn is large
enough) What is the Perimeter? (so we know how
much angle to purchase) What is the volume of
concrete needed to complete this project?
3
What can you tell me about

• Perimeter
• Area
• Area of rectangles
• Area of circles
• Volume
• Volume of rectangular prisms
• Volume of cylinders

4
Lets look at a few reminders

• Perimeter
• Is the distance around a 2-D object
• Perimeter sum of all the sides of any polygon,
  square is 4side, rectangle is 2L 2W

20 ft.
5 ft.
220 ft. 25 ft. 50 ft.
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What about a circle?

• The perimeter of a circle is called ?
• Circumference
• The formula for finding the circumference of a
  circle is pi diameter

7 ft.
3.14 7 ft 21.98 ft
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Lets look at a few reminders

• Area
• Is the surface of a two dimensional object
  measured in square units
• Area of a rectangle
• Length width

10 ft.
10 ft. 5 ft. 50 ft2
5 ft.
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What about area for circles

• Area of a circle
• Pi radius squared or
• 3.14 r2

Area 3.14 (3 ft.)2 Area 3.14 9 ft2 Area
28.26 ft2
6 ft.
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Lets look at a few reminders

• Volume Is the measurement of the space inside
  of a 3-D object
• Volume is measured in cubic units
• Volume of any prism is
• The area of base the height

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Rectangular Prism

• Volume L W H

5 ft
Volume 10 ft 5 ft 5 ft. Volume 250 ft3
5 ft.
10 ft
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Cylinders

• Volume pi R2 H

20 ft.
Volume 3.14 (10 ft)2 30 ft Volume 3.14
100 ft2 30 ft Volume 9,420 ft3
30 ft.
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A few very important Reminders

• ALWAYS MULTIPLY LIKE UNITS!!!!!!
• FEET. FEET, INCHES INCHES
• How many feet is 6 inches?
• 6 .5 ½
• How many feet is 4 inches?
• 4 .33 1/3

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A few very important Reminders

• Unit Conversions
• linear measurements
• 3 ft 1 yd
• Area measurements
• 9 ft2 1 yd2
• Volume measurements
• 27 ft3 1 yd3

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Here are some examples for you

• What is the area of a barn that is 50 x 100
• 50 x 100 5000 sq. ft.
• What is the area of a barn that is 30 x 50
• 30 x 50 1500 sq. ft.

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Here are some examples for you

• What is the volume of a pop can?
• Height
• Diameter
• 3.14 r rHeight

15
Here are some examples for you

• What is the Volume of a rectangular prism 25
  X 25 X 2
• 25 X 25 X 2 1250 cu. ft
• What is the area of circle with a diameter of
  12?
• 6 X 6 X 3.14 113.04 sq. ft

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Here are some examples for you

• What is the volume of a cylinder that has a
  diameter of 6 and a height of 2?
• 3 X 3 X 3.14 28.26 sq. ft
• 28.26 sq. ft. X 2 56.52 cu. ft.
• How many cu. Yds is that?
• 56.52 cu. ft./27 2.09 cu. yds

17
Here is our problem
What is the area?(so we know if the barn is large
enough) What is the Perimeter? (so we know how
much angle to purchase) What is the volume of
concrete needed to complete this project?