Answer:
x = 3
Step-by-step 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
<=> [tex]x^{2}[/tex] = 9
<=> x = 3
