Question
Volume of Right Rectangular Prisms Quick Check
2 of 52 of 5 Items
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
15
15
50
50
5
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:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Volume = 1,000
- Height = 10
- Length = 20
We can plug in the values into the formula:
\[
1,000 = 20 \times \text{width} \times 10
\]
Next, we can simplify the equation:
\[
1,000 = 200 \times \text{width}
\]
Divide both sides by 200:
\[
\text{width} = \frac{1,000}{200} = 5
\]
So, the width of the prism is **5**.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given:
- Volume = 1,000
- Height = 10
- Length = 20
We can plug in the values into the formula:
\[
1,000 = 20 \times \text{width} \times 10
\]
Next, we can simplify the equation:
\[
1,000 = 200 \times \text{width}
\]
Divide both sides by 200:
\[
\text{width} = \frac{1,000}{200} = 5
\]
So, the width of the prism is **5**.
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