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Area, Perimeter, and Volume

Area, Perimeter, and Volume. Created by Barbara Fugitt Texarkana ISD. 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.)

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Area, Perimeter, and Volume

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  1. Area, Perimeter, and Volume Created by Barbara Fugitt Texarkana ISD

  2. 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.

  3. 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.

  4. 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

  5. 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.

  6. 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.

  7. 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.

  8. 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.

  9. You try some • What is the perimeter of the following shape? P = 20 cm. 4 cm. 6 cm.

  10. What is the area of the following shape? 8 cm 8 cm 5 cm 10 cm A = 25 sq. cm.

  11. What is the area of the figure? 10 ft 25 ft. A = 250 sq. ft.

  12. What is the perimeter of the following figure? 15 yards 8 yards 10 yards P = 33 yards

  13. What is the volume of the following figure? 8 m. 3 m. 10 m. V = 240 cubic meters

  14. What is the area of the square? 9 cm A = 81 square cm

  15. What is the perimeter of the square? 10 cm P = 40 cm

  16. What is the volume of the figure? 5 in. 5 in. 5 in. V = 125 cubic inches

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