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

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?

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Madeline 2 weeks 2021-10-05T03:55:53+00:00 2 Answers 0

Answers ( )

    0
    2021-10-05T03:56:54+00:00

    Answer:

    V = \frac{1}{2} x^{3}  cubic units

    Step-by-step 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 = (\frac{1}{2} *x*x)*x

    <=> V = \frac{1}{2} x^{3} cubic units  

    Hope it will find you well

    0
    2021-10-05T03:57:45+00:00

    Answer:

    1/2x^3

    Step-by-step explanation:

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