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?

Question

asked Feb 3, 2020 1.7k views

1 Answer

Vault · Answer 1 · 2020-02-09T18:50:11+0000

Answer:

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)

$b=5\ in$