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?

Respuesta :

Answer:

V = [tex]\frac{1}{2} x^{3}[/tex]  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 = [tex](\frac{1}{2} *x*x)*x[/tex]

<=> V = [tex]\frac{1}{2} x^{3}[/tex] cubic units  

Hope it will find you well

Answer:

1/2x^3

Step-by-step explanation: