Answer:
[tex]b=5\ in[/tex]
Step-by-step explanation:
we know that
The volume of a square pyramid is equal to
[tex]V=\frac{1}{3}b^{2} h[/tex]
where
b is the length side of the square base
h is the height of the pyramid
we have
[tex]V=25\ in^{3}[/tex]
[tex]h=3\ in[/tex]
substitute in the formula and solve for b
[tex]25=\frac{1}{3}b^{2} (3)[/tex]
Simplify
[tex]25=b^{2}[/tex]
square root both sides
[tex]5=b[/tex]
Rewrite
[tex]b=5\ in[/tex]
