Question

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

Answer 1

Answer:

x=3

Step-by-step 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

,

$Area_{Triangle}=\dfrac{1}{2}\times base\times Height_{Triangle}=\dfrac{1}{2}\times 4\times x=2x\ unit^2$

Then,

$V_{Prism}=2x\times 3x=6x^2$

As the volume is given as 54 unit³, hence

6x²=54

x²=9

x=3