Question
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)
Responses
200,000
200,000
5
5
50
50
15
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
200,000
200,000
5
5
50
50
15
Answers
GPT-4o mini
To find the width of the right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
We are 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, we can substitute the values we know:
\[
\text{width} = \frac{1000}{20 \times 10}
\]
Calculating the denominator first:
\[
20 \times 10 = 200
\]
Now, substitute that back into the equation for width:
\[
\text{width} = \frac{1000}{200}
\]
Calculating the final value gives:
\[
\text{width} = 5
\]
So, the width is **5**.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
We are 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, we can substitute the values we know:
\[
\text{width} = \frac{1000}{20 \times 10}
\]
Calculating the denominator first:
\[
20 \times 10 = 200
\]
Now, substitute that back into the equation for width:
\[
\text{width} = \frac{1000}{200}
\]
Calculating the final value gives:
\[
\text{width} = 5
\]
So, the width is **5**.