Answer:
B. 8.5 in. by 8.5 in. by 8.5 in.
Step-by-step 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.