Question

A box has a length of 2 feet, a width of 1/4 foot and a height of 1 1/5 feet. What is the volume of this box? (1 point) Responses 11/20 cubic foot 11 over 20 cubic foot 3/5 cubic foot 3 fifths cubic foot 2 2/5 cubic feet 2 2 fifths cubic feet 3 9/20 cubic feet

Answer 1

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**.