The volume of a pyramid can be calculated as:
[tex]V=\frac{1}{3}\cdot B\cdot H[/tex]
Where B is the area of the base and H is the height. We are given V = 60 cubic inches and H = 5 inches. Solving for B:
[tex]B=\frac{3V}{H}[/tex]
Substituting:
[tex]B=\frac{3\cdot60in^3}{5in}=36in^2[/tex]
The area of the base is 36 square inches.
We must choose the option whose area is 36 sq in.
A square of a side length of 6 inches has an area of:
[tex]A=(6in)^2=36in^2[/tex]
Thus, the correct choice is D.
