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)

Question

Responses

1,350 in.3
1,350 in. cubed

24,300 in.2
24,300 in. squared

437,400 in.3
437,400 in. cubed

5,832 in.3

Answer 1

To determine the total volume needed to transport the 75 boxes, we first need to find the volume of a single box using the formula for the volume of a cube, which is:

$$V=s^3$$

where $s$ is the side length of the cube.

Here, the side length $s=18$ inches.

Calculating the volume of one box:

$$V={18}^3=18\times 18\times 18$$ $$V=324\times 18=5,832{\text{ in}}^3$$

Next, we multiply the volume of one box by the number of boxes (75):

$$\text{Total Volume}=75\times 5,832=437,400{\text{ in}}^3$$

Thus, the service will need 437,400 in.³ of space to transport the boxes.

The correct response is:

437,400 in.³