Area, Perimeter, and Volume

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Area, Perimeter, and Volume

• Created by Barbara Fugitt
• Texarkana ISD

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Perimeter of a Rectangle

• The perimeter is the distance around a figure.
• The formulas are
• P 2L 2W
• P 2 (L W)
• Measured in single
• units.

15 in.
8 in.
P 2(8 in.) 2(15 in.) P 2 (8 in. 15 in.) P
16in. 30 in. P 2 (23 in.) P 46 in. P
46 in.
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Perimeter of a Square

• The perimeter is the distance around a figure.
• The formula is
• P 4s
• Measured in single
• units.

P 4s P 4(9in.) or 4 x 9 in. P 36 in.
9 in.
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Perimeter of a Triangle

• The perimeter is the distance around a figure.
• Add up all three sides. P A B C
• Measured in single
• units.

5 inches
5 inches
P A B C P 5 in. 5 in. 5 in. P 15 in.
5 inches
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Area of a Rectangle

• The number of square units needed to cover the
  surface of a figure.
• The formula is A L x W
• Area is measured in square units.

9 in.
A L x W A 14 in. x 9 in. A 126 square in.
14 in.
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Area of a Square

• The number of square units needed to cover the
  surface of a figure.
• The formula is A s² or A s x s
• Area is measured in square units.

A s² A s x s A 6 in.² A 6 in.
x 6 in. A 36 sq. in. A 36 sq. in.
6 in.
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Area of a Triangle

• The number of square units needed to cover the
  surface of a figure.
• The formula is A ½bh or A bh
• 2
• Area is measured in square units.

A ½bh A ½(5 in. x 4 in.) A ½ (20 sq.
in.) A 10 sq. in.
5 in.
5 in.
4 in.
5 in.
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Volume

• The volume is the amount of space occupied by a
  three-dimensional object.
• The formula is V L x W x H
• Volume is measured in cubic units.

V L x W x H V 5 in. x 2 in. x 5 in. V 10
sq. in. x 5 in. V 50 cubic in.
5 in.
2 in.
5 in.
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You try some

• What is the perimeter of the following shape?

P 20 cm.
4 cm.
6 cm.
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What formula do you use to find the area of the
following figure? What units do you use?
Formula A L x W Units square units
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What formula do you use to find the perimeter of
the following figure? What units do you use?
Formula P 2(L W) or 2L 2W Units single
units
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What formula do you use to find the perimeter of
the following figure? What units do you use?
Formula Add up all the sides Units single units
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What formula do you use to find the area of the
following figure? What units do you use?
Formula ½ bh or bh 2 Units square units
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What formula do you use to find the area of the
following figure? What units do you use?
Formula A s² Units square units
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What formula do you use to find the perimeter of
the following figure? What units do you use?
Formula P 4s Units single units
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What formula do you use to find the volume of the
following figure? What units do you use?
Formula V L x W x H Units cubic units
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What is the area of the following shape?
8 cm
8 cm
5 cm
10 cm
A 25 sq. cm.
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What is the area of the figure?
10 ft
25 ft.
A 250 sq. ft.
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What is the perimeter of the following figure?
15 yards
8 yards
10 yards
P 33 yards
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What is the volume of the following figure?
8 m.
3 m.
10 m.
V 240 cubic meters
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What is the area of the square?
9 cm
A 81 square cm
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What is the perimeter of the square?
10 cm
P 40 cm
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What is the volume of the figure?
5 in.
5 in.
5 in.
V 125 cubic inches