Question
A rectangular prism has a volume of 120 m3. If its length is 6 m and its width is 5 m, what is its height?
Answers
GPT-4o mini
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We know the volume is 120 m³, the length is 6 m, and the width is 5 m. We can rearrange the formula to solve for the height:
\[
\text{Height} = \frac{\text{Volume}}{\text{Length} \times \text{Width}}
\]
Plugging in the known values:
\[
\text{Height} = \frac{120 \, \text{m}^3}{6 \, \text{m} \times 5 \, \text{m}}
\]
Calculating the denominator:
\[
6 \, \text{m} \times 5 \, \text{m} = 30 \, \text{m}^2
\]
Now substituting back into the height formula:
\[
\text{Height} = \frac{120 \, \text{m}^3}{30 \, \text{m}^2} = 4 \, \text{m}
\]
Thus, the height of the rectangular prism is
\[
\boxed{4 \, \text{m}}
\]
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We know the volume is 120 m³, the length is 6 m, and the width is 5 m. We can rearrange the formula to solve for the height:
\[
\text{Height} = \frac{\text{Volume}}{\text{Length} \times \text{Width}}
\]
Plugging in the known values:
\[
\text{Height} = \frac{120 \, \text{m}^3}{6 \, \text{m} \times 5 \, \text{m}}
\]
Calculating the denominator:
\[
6 \, \text{m} \times 5 \, \text{m} = 30 \, \text{m}^2
\]
Now substituting back into the height formula:
\[
\text{Height} = \frac{120 \, \text{m}^3}{30 \, \text{m}^2} = 4 \, \text{m}
\]
Thus, the height of the rectangular prism is
\[
\boxed{4 \, \text{m}}
\]