Question

The volume of a rectangular prism with a square base is 180 in3. Its height is 5 in. Find the length of the edge of the square base.

Answer 1

Answer:

l = 6 inches

Step-by-step explanation:

We have,

The volume of a rectangular prism with a square base is $180\ in^3$.

Height of the prism is  5 in

It is required to find the length of the edge of the square base. Let it is l.

The formula of the volume of the rectangular prism is given by :

$V=l\times b\times h$

A is area of base of prism

It has a square base, l =b

$V=l^2\times h\\\\l=\sqrt{\dfrac{V}{h}} \\\\l=\sqrt{\dfrac{180}{5}} \\\\l=6\ in$

So, the length of the  edge of the square base is 6 inches.