To find the total space needed to transport the boxes, we first calculate the volume of a single box and then multiply that by the number of boxes.
The volume \( V \) of a cube is given by the formula:
\[ V = s^3 \]
where \( s \) is the side length of the cube.
Given that the side length \( s \) is 18 inches, the volume of one box would be:
\[ V = 18^3 = 18 \times 18 \times 18 \]
Calculating this:
\[ 18 \times 18 = 324 \] \[ 324 \times 18 = 5,832 \text{ in.}^3 \]
Now, since there are 75 boxes, we multiply the volume of one box by 75 to find the total volume needed:
\[ \text{Total Volume} = 75 \times 5,832 = 437,400 \text{ in.}^3 \]
Thus, the total space needed to transport the boxes is:
\[ \text{437,400 in.}^3 \]
The best answer is:
437,400 in.³