Question

A tool box has the dimensions of 9 in by 5 in by 6 in. If Kimberly plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answer 1

She is correct.

Explanation:

First, multiply 9 * 5 * 6 (original)

9 * 5 * 6

45 * 6

270 in³

Next, multiply 18 * 5 * 6 (if the length was doubled)

18 * 5 * 6

90 * 6

540 in³

Now divide 540 by 270.

540/270

2

Since the volume doubled, Kimberly is correct.

(You could do this for the other two and Kimberly is still correct.

If width was doubled

9 * (5 * 2) * 6 = 9 * 10 * 6

9 * 10 * 6 = 90 * 6

540

If height was doubled

9 * 5 * (6 * 2) = 9 * 5 * 12

45 * 12

540

540/270

2)