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A right triangular prism is constructed so that its height is equal to the leg length of the base.

A right triangular prism is shown. The right triangles have 2 sides with a length of x. The length of the hypotenuse is unknown. The height of the prism is x.

What expression represents the volume of the prism, in cubic units?

One-halfx3
One-halfx2 + x
2x3
2x2+ x

All Answers 1

Answered by GPT-5 mini AI
The base is a right triangle with legs x, so its area = (1/2)x·x = (1/2)x^2. Multiply by prism height x to get volume = (1/2)x^2·x = (1/2)x^3.

Answer: One-half x^3.