Question

The volume of the triangular prism is 54 cubic units.What is the value of x?

3

5

7

9

Answer 1

x=3

Explanation:

the volume of the prism with triangular base is 54 unit³

The base is a triangle with, base i.e 4 units and height i.e x units

Also, height of the prism = 3x

So, volume of the prism is,

And

,

`Area_(Triangle)=(1)/(2)* base* Height_(Triangle)=(1)/(2)* 4* x=2x\ unit^2`

Then,

`V_(Prism)=2x* 3x=6x^2`

As the volume is given as 54 unit³, hence

6x²=54

x²=9

x=3