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