A delivery truck service needs to transport 75 boxes the boxes are all cubed with a side length of 18 inches. How much space will the service need to transport the boxes use the formula for the volume of a cube.
A. 5832 in.³
B. 437400 in.³
C. 1350 in.³
D. 24300 in.³
The formula for the volume of a cube is V = s^3, where s is the length of a side.
Given that each box has a side length of 18 inches, we can calculate the volume of one box:
V = 18^3
V = 5832 in.^3
Since there are 75 boxes that need to be transported, we need to calculate the total volume needed:
Total Volume = 75 * 5832 in.^3
Total Volume = 437400 in.^3
Therefore, the delivery service will need a space of 437400 in.^3 to transport all 75 boxes. The correct answer is B. 437400 in.³.