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

ANSWER
$1 \times 90$
$2 \times 45$

$3 \times 30$

$6 \times 15$

$5 \times 18$
$10 \times 9$

EXPLANATION

The volume of a rectangular prism is given by,

$V=l \times b \times h$

Given that

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

$360=l \times b \times4$

We simplify to get,

$90=l \times b$

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

These are,

$1 \times 90$
$2 \times 45$

$3 \times 30$
$6 \times 15$

$5 \times 18$
$10 \times 9$

Answer 2

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