Question

A rectangular prism has a volume of 360 in3. If the height measures 4 in., which base measurements could the prism have?

Answer 1

Since we know the volume is 360...and the height is 4, you divide 360 by 4 to get 90. Now we need two numbers which product equals 90 to get the base measurements.

6 and 15 could be the base measurements.

6 x 15 x 4 =360

Answer 2

ANSWER

`1 * 90`

`2 * 45`


`3 * 30`


`6 * 15`


`5 * 18`

`10 * 9`

Step-by-step explanation

The volume of a rectangular prism is given by,


`V=l * b * h`

Given that

V=360 and h=4, the relation becomes;


`360=l * b *4`

We simplify to get,


`90=l * b`

The possible base measurements of the rectangular prism are all possible factors of 90 that multiplies to give 90.

These are,


`1 * 90`

`2 * 45`


`3 * 30`

`6 * 15`


`5 * 18`

`10 * 9`