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

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

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`