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?

She is correct.

Step-by-step 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)

Sergio is making punch for a school party. The recipe he is using calls for 3 cups of fruit juice to make 7 cups of punch. He made a ratio table to help him determine how much fruit juice he will need.

cups of fruit juice 3 15 90

cups of punch 7 35 210

How many cups of fruit juice would Sergio need to make 154 cups of punch?