Question

A rectangular prism has a volume of 175 cubed inches. The height of the prism is 7 inches. The base is a square. What is the length of a side of the base?

Answer 1

Answer:

The length of a side of the base is $5\ in$

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

$V=Bh$

where

B is the area of the base of the prism

h is the height of the prism

we have

$V=175\ in^{3}$

$h=7\ in$

Substitute the values and solve for B

$175=B(7)$

$B=175/(7)$

$B=25\ in^{2}$

Remember that the base is a square

so

$25=b^{2}$

$b=5\ in$