Question
A rectangular prism has a volume of 90 cubic feet. The prism has a height of 2 feet and a width of 3 feet.
What is the length of the prism?
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What is the length of the prism?
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Answers
GPT-4o mini
To find the length of the 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 the volume, width, and height of the prism:
- Volume = 90 cubic feet
- Width = 3 feet
- Height = 2 feet
Substituting the known values into the volume formula, we have:
\[
90 = \text{Length} \times 3 \times 2
\]
Simplifying the equation:
\[
90 = \text{Length} \times 6
\]
To isolate the length, divide both sides by 6:
\[
\text{Length} = \frac{90}{6} = 15
\]
Thus, the length of the prism is:
\[
\boxed{15} \text{ feet}
\]
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We are given the volume, width, and height of the prism:
- Volume = 90 cubic feet
- Width = 3 feet
- Height = 2 feet
Substituting the known values into the volume formula, we have:
\[
90 = \text{Length} \times 3 \times 2
\]
Simplifying the equation:
\[
90 = \text{Length} \times 6
\]
To isolate the length, divide both sides by 6:
\[
\text{Length} = \frac{90}{6} = 15
\]
Thus, the length of the prism is:
\[
\boxed{15} \text{ feet}
\]