To find the length of a rectangular prism when you know the volume, width, and height, you can use the formula for the volume of a rectangular prism:
\[ V = l \times w \times h \]
where:
- \(V\) is the volume,
- \(l\) is the length,
- \(w\) is the width,
- \(h\) is the height.
In this case, you have the following values:
- Volume \(V = 90\)
- Width \(w = 3\)
- Height \(h = 5\)
You need to solve for \(l\):
\[ 90 = l \times 3 \times 5 \]
First, calculate \(3 \times 5\):
\[ 3 \times 5 = 15 \]
So, you can rewrite the equation as:
\[ 90 = l \times 15 \]
To find \(l\), divide both sides by 15:
\[ l = \frac{90}{15} \]
Calculating this gives:
\[ l = 6 \]
Thus, the length of the rectangular prism is \(6\).
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