Answer:
The length of a side of the base is [tex]5\ in[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
we have
[tex]V=175\ in^{3}[/tex]
[tex]h=7\ in[/tex]
Substitute the values and solve for B
[tex]175=B(7)[/tex]
[tex]B=175/(7)[/tex]
[tex]B=25\ in^{2}[/tex]
Remember that the base is a square
so
[tex]25=b^{2}[/tex]
[tex]b=5\ in[/tex]
