To find the volume of the box, you can use the formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Let's first convert the measurements into decimal form.
- Length: 3 feet (already in decimal form)
- Width: 312 feet means 3 + (1/2) feet = 3.5 feet
- Height: 2 14 feet means 2 + (1/4) feet = 2.25 feet
Now substituting these values into the volume formula:
\[ \text{Volume} = 3 \text{ feet} \times 3.5 \text{ feet} \times 2.25 \text{ feet} \]
Calculating step-by-step:
- \(3 \times 3.5 = 10.5\)
- \(10.5 \times 2.25 = 23.625\)
So, the volume of the box is:
\[ \text{Volume} = 23.625 \text{ cubic feet} \]
Therefore, the correct answer is:
23.625 cubic foot