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

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

Given:

- Length = 2 feet
- Width = \( \frac{1}{4} \) foot
- Height = \( 1 \frac{1}{5} \) feet

First, we need to convert the height into an improper fraction:

\[
1 \frac{1}{5} = 1 + \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \text{ feet}
\]

Now we can substitute the dimensions into the volume formula:

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

Calculating step-by-step:

1. First, calculate \( 2 \times \frac{1}{4} \):

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

2. Now, multiply \( \frac{1}{2} \) by \( \frac{6}{5} \):

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

Thus, the volume of the box is:

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

So the correct response is:

**3/5 cubic foot**