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

1120
cubic foot
11 over 20 cubic foot

35
cubic foot
3 fifths cubic foot

2 25
cubic feet
2 2 fifths cubic feet

3 9/20
cubic feet

Answer 1

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:

1. Calculate the first part:

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

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.