To find the volume of a box, you can use the formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Given the dimensions of the box:
- Length = 2 feet
- Width = \( \frac{1}{4} \) foot
- Height = \( 1 \frac{1}{5} \) feet, which can be converted to an improper fraction:
\[ 1 \frac{1}{5} = \frac{6}{5} \text{ feet} \]
Now, substituting these values into the volume formula:
\[ \text{Volume} = 2 \times \frac{1}{4} \times \frac{6}{5} \]
Calculating the multiplication step-by-step:
- Calculate the first part:
\[ 2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \]
- Now multiply this result by \( \frac{6}{5} \):
\[ \frac{1}{2} \times \frac{6}{5} = \frac{1 \cdot 6}{2 \cdot 5} = \frac{6}{10} = \frac{3}{5} \]
Thus, the volume of the box is \( \frac{3}{5} \) cubic feet.
So the correct response is:
3 fifths cubic foot.