Question

A rectangular prism with integer side lengths has a height of $3$. If the surface area of the prism is equal to $52$, then what is the volume of the prism?

Answer 1

Step-by-step explanation:

It is given that,

Height of a rectangular prism, h = 3 units

Surface area of the prism, A = 52 sq units

We need to find the volume of the prism.

The volume of a rectangular prism is given by the formula as follows :

$V=l\times b\times h$

l = length and b = breadth

Surface area of the prism, A = lb which is equal to 52 sq units

So,

$V=52\times 3\\\\V=156\ \text{unit}^3$

Hence, volume is 156 cubic unit.