7th Grade Math

Test PracticeT

574 Volume and Surface Area

C 17. OPEN ENDED A rectangular pyramid has a volume of 160 cubic feet.

Find two possible sets of dimensions for the pyramid.

18. CHALLENGE A square pyramid and a cube have the same bases and
    volumes. How are their heights related? Explain.


19. REASONING The two figures

'JHVSF
" 'JHVSF
#

shown have congruent bases.

How does the volume of the

two square pyramids in

Figure B compare to the volume

of the square pyramid in

Figure A?

20. E WRITE MATH Suppose the height of a square pyramid is doubled.
    Explain what happens to the volume of the pyramid. Support your
    reasoning with an example.

Find the volume of each cylinder or prism. Round to the nearest tenth.

(Lessons 1B and 1C)

23. 
    

    (^) 9.2 m
    9.4 m

    
    


24. 
    

    9.5 ft
    9.8 ft
    12.4 ft

    
    


25. 
    

    19 in.
    35 in.
    42 in.

    
    


26. 
    

    The rectangular pyramid has a volume
    of 1,560 cubic inches. What is the height
    of the pyramid?

    
    

h

15 in.

13 in.

A. 8 in. C. 30 in.

B. 24 in. D. 48 in.

22. Find the volume of the rectangular
    pyramid. Round to the nearest tenth.

23 cm

17 cm

11 cm

F. 4,301 cm^3 H. 1,433.7 cm^3

G. 2,867.3 cm^3 I. 716.3 cm^3

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