To calculate the space needed to transport 75 boxes, we first need to find the volume of a single box and then multiply by the number of boxes.
The formula for the volume \( V \) of a cube is given by:
\[ V = s^3 \]
where \( s \) is the side length of the cube.
For this problem:
- The side length \( s \) is 18 inches.
- Calculate the volume of one box:
\[ V = 18^3 = 18 \times 18 \times 18 \]
Calculating step-by-step:
\[ 18 \times 18 = 324 \]
\[ 324 \times 18 = 5,832 , \text{in}^3 \]
So, the volume of one box is \( 5,832 , \text{in}^3 \).
- Now, to find the total volume for 75 boxes:
\[ \text{Total Volume} = 75 \times 5,832 , \text{in}^3 \]
Calculating this gives:
\[ 75 \times 5,832 = 437,400 , \text{in}^3 \]
So, the total space needed to transport the boxes is:
437,400 in.³