A shipping company charges per cubic inch to ship a package. BoxDimensions of BoxA10.5 in. by 12 in. by 4.5 in. B8.5 in. by 8.5 in. by 8.5 in. C10.5 in. by 8.5 in. by 6.5 in. D12 in. by 6.5 in. by 6.5 in. Which of the boxes is the most expensive to ship?

B. 8.5 in. by 8.5 in. by 8.5 in.

Explanation:

To find how much it cost to ship each containers, we would determine the volume of each package.

Volume of rectangular prism = base area * height

Volume = length * width * height

Given the following data;

A. 10.5 in. by 12 in. by 4.5 in.

Volume = 10.5 * 12 * 4.5

Volume = 567 cubic inches.

B. 8.5 in. by 8.5 in. by 8.5 in.

Volume = 8.5 * 8.5 * 8.5

Volume = 614.125 cubic inches.

C. 10.5 in. by 8.5 in. by 6.5 in.

Volume = 10.5 * 8.5 * 6.5

Volume = 580.125 cubic inches.

D. 12 in. by 6.5 in. by 6.5 in.

Volume = 12 * 6.5 * 6.5

Volume = 507 cubic inches.

Ultimately, the shipping box with the largest volume would have the highest shipping cost i.e the most expensive to ship. Therefore, box B with dimensions 8.5 in. by 8.5 in. by 8.5 in. would be the most expensive to ship.

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