A rectangular display case houses a square pyramid. Both have the same square base measuring x inches on a side. The top of the case is 2 inches above the tip of the pyramid, which has a height of h inches. Which expression represents the volume of the empty space inside the case?

A. 2/3x^2h
B. 1/3x^2h
C. x^2-1?3x^2h
D. x^3-x^2(h-2)

Question

A rectangular display case houses a square pyramid. Both have the same square base measuring x inches on a side. The top of the case is 2 inches above the tip of the pyramid, which has a height of h inches. Which expression represents the volume of the empty space inside the case?

A. 2/3x^2h
B. 1/3x^2h
C. x^2-1?3x^2h
D. x^3-x^2(h-2)

mathteacher1729 · Answer

Step 1) Find the volume of a rectangular prism 
Step 2) Find the volume of a pyramid with square base
Setp 3) (rectangular prism volume) MINUS (pyramid with square base volume).

hero · Answer

Without doing any work, the answer is D

anonymous · Answer

Thank you both