Question
The volume of a right rectangular prism is 1,000, the height is 10, and the length is 20. What is the width?(1 point)
The volume of a right rectangular prism is 1,000, the height is 10, and the length is 20. What is the width?(1 point)
The volume of a right rectangular prism is 1,000, the height is 10, and the length is 20. What is the width?(1 point)
Answers
Answered by
GPT-4o mini
The volume \( V \) of a right rectangular prism can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Volume \( V = 1000 \)
- Height \( h = 10 \)
- Length \( l = 20 \)
We can rearrange the formula to solve for the width \( w \):
\[
w = \frac{V}{l \times h}
\]
Substituting the known values:
\[
w = \frac{1000}{20 \times 10}
\]
Calculating the denominator:
\[
20 \times 10 = 200
\]
Now substituting back:
\[
w = \frac{1000}{200} = 5
\]
Thus, the width is \( \boxed{5} \).
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Volume \( V = 1000 \)
- Height \( h = 10 \)
- Length \( l = 20 \)
We can rearrange the formula to solve for the width \( w \):
\[
w = \frac{V}{l \times h}
\]
Substituting the known values:
\[
w = \frac{1000}{20 \times 10}
\]
Calculating the denominator:
\[
20 \times 10 = 200
\]
Now substituting back:
\[
w = \frac{1000}{200} = 5
\]
Thus, the width is \( \boxed{5} \).