A right triangular prism is constructed so that it's height is equal to the leg length of the base. What expression represents the volume of the prism, in cubic units? A. 1/2x^3 B. 1/2x^2+x C. 2x^3 D. 2x^2+x

A)

Step-by-step explanation:

The volume of a triangular prism can be found using the formula

(1)

where

A is the area of the base

h is the height of the prism

Here, the base is a right triangle; the area of a triangle is

where

b is the base

h' is the height of the triangle

Here, the triangle has the two sides equal, and it is a right triangle, so we have

So the area of the base is

We also know that the height of the prism is equal to the leg length of the base, so

Therefore substituting into (1) we find:

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step-by-step explanation:

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step-by-step explanation: