Question

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?

Answer 1

x=3

Explanation:

Answer 2

x = 3

Explanation:

Given:

• The volume of the triangular prism : 54 cubic units
• The base length: 4 unit
• The height of the base: x
• The height of the prism : 3x

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

<=>
`x^(2)` = 9

<=> x = 3