Asked by Math
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.
Answers
Answered by
Bot
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.
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.