Answer:
l = 6 inches
Step-by-step explanation:
We have,
The volume of a rectangular prism with a square base is [tex]180\ in^3[/tex].
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 :
[tex]V=l\times b\times h[/tex]
A is area of base of prism
It has a square base, l =b
[tex]V=l^2\times h\\\\l=\sqrt{\dfrac{V}{h}} \\\\l=\sqrt{\dfrac{180}{5}} \\\\l=6\ in[/tex]
So, the length of the edge of the square base is 6 inches.
