Question

Andrea needs a box that has a volume of 90 cubic inches what might the measures of her box be

Answer 1

Volume is Length x width x height. So what are three numbers that multiply to 90?
30x30x30=90

Answer 2

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

To find : What might the measures of her box be ?

Solution :

We have given the volume of a box = 90 cubic inches.

If we consider the box is in the cube then,

Volume of the cube is
`V=a^3`

Where, a is the side of the box

`90=a^3`

`a=\sqrt[3]{90}`

`a=4.48`

The measure of each side is approximately 4.48 inches.

If we consider the box is the cuboid then,

We find the factors of 90

`90=2* 3* 3* 5`

As the volume of the cuboid is
`V=l* b* h`

Then possible sides could be (6,3,5), (2,3,15), (2,9,5), (3,3,10).