Answer:
The height of the pyramid is [tex]27\ in[/tex]
Step-by-step explanation:
we know that
The volume of the square pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the square base of the pyramid
h is the height of the pyramid
Find the area of the base B
[tex]B=5^{2}=25\ in^{2}[/tex] -----> is a square
we have
[tex]V=225\ in^{3}[/tex]
substitute the values in the formula and solve for h
[tex]225=\frac{1}{3}(25)h[/tex]
[tex]h=225*3/25[/tex]
[tex]h=27\ in[/tex]
