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)

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 \( \boxed{5} \).

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