7th Grade Math

562 Volume and Surface Area

15. TOYS A toy company makes rectangular sandboxes that measure 6 feet by
    5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet of sand. Did
    the customer buy too much or too little sand? Justify your answer.

Find the volume of each prism.

16.

3 ft 2 ft^1

4

5 ft^12

17.

4 yd

8 yd^34

9 yd^12

18.

3 in.^12

3 in.^12 3 in.^12

19. ARCHITECTURE Use the diagram at the right

285 ft

87 ft

that shows the approximate dimensions of 174 ft

the Flatiron Building in New York City.

a. What is the approximate volume of the

Flatiron Building?

b. The building is 22 stories tall. Estimate

the volume of each story.

20. ALGEBRA The base of a rectangular prism has
    an area of 19.4 square meters and the prism has
    a volume of 306.52 cubic meters. Write an equation
    that can be used to find the height h of the prism.
    Then find the height of the prism.

2121 MONEY The diagram shows the

12 ft

32 ft

25 ft

dimensions of an office. It costs

about $0.11 per year to air condition

one cubic foot of space. On average,

how much does it cost to air condition

the office for one month?

22. GRAPHIC NOVEL Refer to the graphic novel frame below for Exercises a and b.

Refer to the start

of the chapter to

read all about our

dunk tank.

of the

read a

dunk t

a. Are there any other possibilities for dimensions?

b. Which dimensions are reasonable for a dunk tank? Explain.

F

Volume also refers

to the amount a

container, such as a

sandbox, holds.

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