A delivery truck service needs to transport 75 boxes. The boxes are all cubes with a side length of 18 in. How much space will the service need to transport the boxes? Use the formula for the volume of a cube.

1 answer

The formula for the volume of a cube is V = s^3, where V is the volume and s is the length of one side.

In this case, the length of one side (s) is 18 inches, so we can plug that into the formula:

V = 18^3
V = 5,832 cubic inches

So each box has a volume of 5,832 cubic inches. To find the total space needed to transport 75 boxes, we can multiply that volume by the number of boxes:

Total space needed = 75 boxes x 5,832 cubic inches per box
Total space needed = 437,400 cubic inches

Therefore, the delivery truck service will need at least 437,400 cubic inches of space to transport all 75 boxes.