The volume of the triangular prism is 54 cubic units.

A triangular prism with a volume of 54 cubic units is shown. The triangle has a base length of 4 and a height of x. The height of the prism is 3 x.

What is the value of x?

x = 3

Step-by-step explanation:

Given:

As we know that, the formula used to find out the volume of a triangular prism is:

V = 1/2 * The base length * The height of the base * The height of the prism

<=> V = 1/2*4*x*3x

In this question we have V = 54 cubic units

<=> 1/2*4*x*3x  = 54

<=> = 9

<=> x = 3

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign