To find the volume of the box, you can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
First, let's convert all the dimensions to decimals:
- Length: \( 3 \) feet (this is already in decimal form)
- Width: \( 3 \frac{1}{2} \) feet = \( 3.5 \) feet
- Height: \( 2 \frac{1}{4} \) feet = \( 2.25 \) feet
Now plug the values into the volume formula:
\[ \text{Volume} = 3 \times 3.5 \times 2.25 \]
Calculating step-by-step:
- Calculate \( 3 \times 3.5 = 10.5 \)
- Then multiply that by \( 2.25 \):
\[ 10.5 \times 2.25 = 23.625 \]
So, the volume of the box is \( \mathbf{23.625} \text{ cubic feet} \).
The correct response is: 23.625 cubic foot.