To find the height of the foot locker, we can use the formula for the volume of a rectangular prism, which is given by:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
We know the following values:
- Volume = 7,752 cubic inches
- Length = 38 inches
- Width = 12 inches
We can rearrange the formula to solve for height:
\[ \text{height} = \frac{\text{Volume}}{\text{length} \times \text{width}} \]
Substituting the known values into the formula:
\[ \text{height} = \frac{7,752}{38 \times 12} \]
First, we need to calculate \(38 \times 12\):
\[ 38 \times 12 = 456 \]
Now we can calculate the height:
\[ \text{height} = \frac{7,752}{456} \]
Now, perform the division:
\[ \text{height} = 17 \]
Therefore, the height of the foot locker is
\[ \boxed{17} \text{ inches} \]