Question

The figure below is a right rectangular prism.

A rectangular prism is shown. Rectangles S M T Z and X N O Y are the bases. The length of W M is x and the length of M T is x. The height of the prism is one-half x.

Which expression represents the volume of the prism?

One-halfx3
(one-half x) cubed
Five-halvesx3
(Five-halves x) cubed

Answer 1

Volume = base area × height. The base is x by x, so area = x^2. Height = (1/2)x. Thus volume = x^2·(1/2)x = (1/2)x^3.

Answer: One-half x^3.