Question

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?

Answer 1

1/2x^3

Explanation:

Answer 2

V =
`(1)/(2) x^(3)` cubic units

Explanation:

Given the information

• A right triangular prism has the height is equal to the leg length of the base.
• The right triangles have 2 sides with a length of x

=> the height = x

As we know, the formula used to determine the volume of a right triangular prism is:

V = The base area * the height

In this situation, we have

V =
`((1)/(2) *x*x)*x`

<=> V =
`(1)/(2) x^(3)` cubic units

Hope it will find you well