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 point)
• 437, 400 in. 3
• 1,350 in.3
0 5,832 in.3
O 24,300 in.?
To calculate the volume of one cube, we use the formula for the volume of a cube, which is V = s^3, where s is the side length of the cube.
Given that the side length is 18 in, we can plug this into the formula:
V = 18^3
V = 5832 in^3
Now, since there are 75 boxes that need to be transported, we need to multiply the volume of one box by the number of boxes:
Total volume = 5832 in^3 * 75 = 437,400 in^3
Therefore, the delivery service will need 437,400 in^3 of space to transport the 75 boxes. The correct answer is:
• 437,400 in. 3