Question

A box has a length of 2 feet, a width of 1/4
1
4
foot and a height of 1 1/5
1
5
feet.

What is the volume of this box?

(1 point)
Responses

1120
11
20
cubic foot
11 over 20 cubic foot

35
3
5
cubic foot
3 fifths cubic foot

2 25
2

Answer 1

To find the volume of the box, you can use the formula for the volume of a rectangular prism, which is:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Given the dimensions:
- 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 in the values:

\[
\text{Volume} = 2 \times \frac{1}{4} \times \frac{6}{5}
\]

Calculating step by step:

1. Multiply the length and width:

\[
2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
\]

2. NowMultiply that result by the height:

\[
\frac{1}{2} \times \frac{6}{5} = \frac{1 \times 6}{2 \times 5} = \frac{6}{10} = \frac{3}{5}
\]

Thus, the volume of the box is:

\[
\frac{3}{5} \text{ cubic foot}
\]

The correct response is:

**3 fifths cubic foot**.