A storage pod was rented to hold merchandise for a sporting event. the boxes of merchandise are 1 cubic foot each. The volume of the inside of the storage pod is 1280 cubic feet. What are some possible dimensions, in feet, of the storage pod being used?

Accepted Solution

There are a large number of possibilities, since each box is 1 cubic foot. We do not know the exact dimensions of each box (could be 1 ft x 1 ft x 1 ft, or 2 ft x 0.5 ft x 1 ft, or 4 ft x 0.5 ft x 0.5 ft). But in the simplest case, where each box is 1 ft x 1 ft x 1 ft, some possible dimensions are:
10 ft x 16 ft x 8 ft
20 ft x 8 ft x 8 ft
5 ft x 16 ft x 16 ft
10 ft x 32 ft x 4 ft
And so on, as long as each of the storage box dimensions are divisible by the dimensions of the boxes (in this case, 1 ft)