Question
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
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
Answers
GPT-4o mini
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.
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
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.