Question

Andrea needs a box that has a volume of 90 cubic inches

Answer 1

see the explanation

Explanation:

The complete question is

Andrea needs a box that has a volume of 90 cubic inches.

What might the measures of her box be?

step 1

If we consider the box to be a cube

The volume of the cube is

`V=b^3`

where

b is the length side of the box

so

`90=b^3`

solve for b

`b=\sqrt[3]{90}\ in`

The measure of each side is approximately 4.48 inches.

step 2

If we consider the box to be a cuboid

The volume of the cuboid is equal to

`V=LWH`

`90=LWH`

We find the factors of 90

`90=1* 2* 3* 3* 5`

Possible measures of the length sides could be

(6,3,5), (2,3,15), (2,9,5), (3,3,10).