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

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 Link

kudzordzifrancis kudzordzifrancis · Answer 2 · 2019-01-20T20:23:59+01:00

ANSWER
[tex]1 \times 90[/tex]
[tex]2 \times 45[/tex]

[tex]3 \times 30[/tex]

[tex]6 \times 15[/tex]

[tex]5 \times 18[/tex]
[tex]10 \times 9[/tex]

EXPLANATION

The volume of a rectangular prism is given by,

[tex]V=l \times b \times h[/tex]

Given that

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

[tex]360=l \times b \times4[/tex]

We simplify to get,

[tex]90=l \times b[/tex]

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

These are,

[tex]1 \times 90[/tex]
[tex]2 \times 45[/tex]

[tex]3 \times 30[/tex]
[tex]6 \times 15[/tex]

[tex]5 \times 18[/tex]
[tex]10 \times 9[/tex]