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

l = 6 inches

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* b* h`

A is area of base of prism

It has a square base, l =b

`V=l^2* h\\\\l=\sqrt{(V)/(h)} \\\\l=\sqrt{(180)/(5)} \\\\l=6\ in`

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