A box has a length of 2 feet, a width of 14

foot and a height of 1 15
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

3 920
cubic feet

1 answer

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 the dimensions of the box:

  • Length = 2 feet
  • Width = 14 feet
  • Height = \(1 \frac{15}{20}\) feet

First, convert the mixed number for height to an improper fraction or a decimal:

\[ 1 \frac{15}{20} = 1 + \frac{15}{20} = 1 + 0.75 = 1.75\text{ feet} \]

Now, substitute the values into the volume formula:

\[ \text{Volume} = 2 \times 14 \times 1.75 \]

Calculating this step-by-step:

  1. Calculate \(2 \times 14 = 28\).
  2. Now, calculate \(28 \times 1.75\):

\[ 28 \times 1.75 = 28 \times \frac{7}{4} = \frac{28 \times 7}{4} = \frac{196}{4} = 49 \]

Thus, the volume of the box is:

\[ \text{Volume} = 49 \text{ cubic feet} \]

However, none of the provided options seem to match this volume. Please double-check the height measurement or other dimensions provided since 49 cubic feet is an unexpected result given the provided choices.