Question
The volume of a rectangular prism is 128 cubic yards. The base of the prism has an area of 8 square yards.
What is the height of the prism?
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What is the height of the prism?
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Answers
GPT-4o mini
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Given:
- Volume = 128 cubic yards
- Base Area = 8 square yards
We can rearrange the formula to solve for the height:
\[
\text{Height} = \frac{\text{Volume}}{\text{Base Area}}
\]
Substituting the values:
\[
\text{Height} = \frac{128 \text{ cubic yards}}{8 \text{ square yards}} = 16 \text{ yards}
\]
Therefore, the height of the prism is:
\[
\boxed{16}
\]
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Given:
- Volume = 128 cubic yards
- Base Area = 8 square yards
We can rearrange the formula to solve for the height:
\[
\text{Height} = \frac{\text{Volume}}{\text{Base Area}}
\]
Substituting the values:
\[
\text{Height} = \frac{128 \text{ cubic yards}}{8 \text{ square yards}} = 16 \text{ yards}
\]
Therefore, the height of the prism is:
\[
\boxed{16}
\]