To calculate the volume of the box, you can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Given:
- Length = 2 feet
- Width = \( \frac{1}{4} \) foot
- Height = \( 1 \frac{1}{5} \) feet
First, convert the height from a mixed number to an improper fraction:
\[ 1 \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \]
Now substitute the values into the volume formula:
\[ \text{Volume} = 2 \times \frac{1}{4} \times \frac{6}{5} \]
First, calculate \( 2 \times \frac{1}{4} \):
\[ 2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \]
Now multiply \( \frac{1}{2} \) by \( \frac{6}{5} \):
\[ \frac{1}{2} \times \frac{6}{5} = \frac{6}{10} = \frac{3}{5} \]
Thus, the volume of the box is:
\[ \frac{3}{5} \text{ cubic feet} \]
Among the response options provided, the correct answer is 3/5 cubic foot.