Answer:
5 inches
Step-by-step explanation:
The volume of the square pyramid is given by:
[tex]V=\frac{b^2h}{3}[/tex]
where b is the length of one side of the
square base and h is the height of the pyramid.
The height is given as h=3 inches and volume, V=25 cubic inches.
We substitute and solve for b
[tex]25=\frac{b^2*3}{3}[/tex]
[tex]\implies b^2=25[/tex]
Take principal square root to get:
[tex]b=\sqrt{25}[/tex]
[tex]b=5[/tex] inches.
Hence the length of a side is 5 inches.