7th Grade Math

Chapter Study Guide and Review

612 Volume and Surface Area

Volume

Volume of Prisms (Lesson 1B)

Find the volume of each prism. Round to

the nearest tenth if necessary.

9.

2.9 m

1.4 m

3.6 m

10.

10 in.^34

8 in.

7 in.

1

2

11. CEREAL A box of cereal is 8.5 inches long,
    12.5 inches tall, and 3.5 inches wide.
    What is the maximum amount of cereal
    the box can contain?


12. TRUCKS The dimensions of the bed
    of a dump truck are length 20 feet,
    width 7 feet, and height 9 _^12 feet.
    What is the volume of the bed of the
    dump truck?

EXAMPLE 1 A local city provides

residents with a rectangular container for

recycling products. Find the volume of

the rectangular container.

15 in.

14 in.

24 in.

V = wh Volume of a rectangular prism

V = (24)(14)(15) Replace  with 24, w with 14,

and h with 15.

V = 5,040 Multiply.

The volume of the rectangular container is

5,040 cubic inches.

Volume of Cylinders (Lesson 1C)

Find the volume of each cylinder. Round to

the nearest tenth.

13. 8.7 km

17 km

14.

15 mm

21.1 mm

15. CONTAINERS A can of soup has a
    diameter of 3.5 inches and a height of
    5 inches. Find the volume of the soup
    can. Round to the nearest tenth.


16. COOKIES Mrs. Delagado stores cookies in
    a cylinder-shaped jar that has a height of
    12 inches and a diameter of 10 inches.
    Find the volume. Round to the nearest
    tenth.

EXAMPLE 2 Marquez stores his toys in

a cylinder-shaped can like the one shown

below. Find the volume of the can. Round

to the nearest tenth.

7 ft

3 ft

V = πr^2 h Volume of a cylinder

V = π 32 (7) Replace r with 3 and h with 7.

V ≈ 197.9 Multiply.

The volume of the cylinder-shaped can is

197.9 cubic feet.

Lesson 1

Multi-Part Lesson Review

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