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.

A. 24,300 in.^2
B. 1,350 in.^3
C. 437,400 in.^3
D. 5,832 in.^3

1 answer

C. 437,400 in.^3

To calculate the total volume needed to transport the 75 boxes, we first calculate the volume of one box:
Volume = side length^3 = 18^3 = 5,832 in.^3

Then, we multiply the volume of one box by the total number of boxes:
Total volume = 5,832 in.^3 * 75 = 437,400 in.^3

Therefore, the service will need 437,400 in.^3 of space to transport the 75 boxes.