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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) Responses...Asked by Alto Saxophone
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)
Responses
50
50
5
5
200,000
200,000
15
Responses
50
50
5
5
200,000
200,000
15
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the width of the right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Volume = 1,000
- Height = 10
- Length = 20
We can rearrange the formula to solve for width:
\[
\text{width} = \frac{\text{Volume}}{\text{length} \times \text{height}}
\]
Now plug in the values:
\[
\text{width} = \frac{1000}{20 \times 10}
\]
Calculate \(20 \times 10\):
\[
20 \times 10 = 200
\]
Now substitute that back into the equation:
\[
\text{width} = \frac{1000}{200}
\]
Calculating that gives:
\[
\text{width} = 5
\]
Thus, the width of the rectangular prism is **5**.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Volume = 1,000
- Height = 10
- Length = 20
We can rearrange the formula to solve for width:
\[
\text{width} = \frac{\text{Volume}}{\text{length} \times \text{height}}
\]
Now plug in the values:
\[
\text{width} = \frac{1000}{20 \times 10}
\]
Calculate \(20 \times 10\):
\[
20 \times 10 = 200
\]
Now substitute that back into the equation:
\[
\text{width} = \frac{1000}{200}
\]
Calculating that gives:
\[
\text{width} = 5
\]
Thus, the width of the rectangular prism is **5**.
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