To find out how much space the delivery truck needs to transport 75 boxes, we first need to calculate the volume of one box.
The formula for the volume \( V \) of a cube is:
\[ V = s^3 \]
where \( s \) is the side length of the cube.
In this case, the side length of each box is 18 inches.
Calculating the volume of one box:
\[ V = 18^3 = 18 \times 18 \times 18 \]
Calculating step by step:
- \( 18 \times 18 = 324 \)
- \( 324 \times 18 = 5,832 \)
So, the volume of one box is \( 5,832 \) cubic inches.
Now, to find the total volume for 75 boxes:
\[ \text{Total Volume} = 75 \times 5,832 \]
Calculating this:
\[ 75 \times 5,832 = 437,400 \]
Thus, the total volume required to transport the boxes is \( 437,400 \) cubic inches.
The correct response is:
437,400 in. cubed.