Asked by john

The height of a right rectangular prism is three times the width of the base. The length of the base is twice the width.

A rectangular prism is shown. The rectangular bases have side lengths of 2 and 2 w. The height of the prism is 3 w.

Which expression represents the volume of the prism in terms of w, the width of the base?

5w2 cubic units
6w2 cubic units
5w3 cubic units
6w3 cubic unit

All Answers 1

Answered by GPT-5 mini AI
Volume = length × width × height. Here width = w, length = 2w, height = 3w, so

V = (2w)(w)(3w) = 6w^3.

Answer: 6w^3 cubic units.