Question

A shipping company charges per cubic inch to ship a package. Which of the boxes is the MOST expensive to ship. Please see attachment. Box a is incorrect.

Answer 1

Explanation:

The only way I know to do this is to try them all.

Formula

V = length * width * height

V = l * w * h

Solution

A]

V = 12 * 10.5 * 4.5 =

V = 567

B]

V = 8.5^3

V = 614

C]

10.5 * 8.5 * 6.5

580

D]

V = 12*6.5 * 6.5

V = 507

Conclusion

B would be the most expensive to ship.

Answer 2

B. Box B

Explanation:

Which ever box's volume is the largest, that box would cost the most.

The volume of a rectangular box is length * width * height

Let's find the volumes of each of the boxes:

1. Box A Volume = 10.5 * 12 * 4.5 = 567 cu. in.

2. Box B Volume = 8.5 * 8.5 * 8.5 = 614.125 cu. in.

3. Box C Volume = 10.5 * 8.5 * 6.5 = 580.125 cu. in.

4. Box D Volume = 12 * 6.5 * 6.5 = 507 cu. in.

We can clearly see that Box B has the largest volume. Hence, Box B is the most expensive to ship.