To find the volume of a right rectangular prism, you can use the formula:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given:
- Length \( l = \frac{1}{3} \) m
- Width \( w = \frac{1}{4} \) m
- Height \( h = 2 \frac{1}{2} \) m \( = \frac{5}{2} \) m (since \( 2 \frac{1}{2} \) is equivalent to \( 2 + \frac{1}{2} = \frac{5}{2} \))
Now substituting into the volume formula:
\[ \text{Volume} = \frac{1}{3} \times \frac{1}{4} \times \frac{5}{2} \]
Calculating step by step:
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First, multiply the fractions:
\[ \frac{1}{3} \times \frac{1}{4} = \frac{1 \times 1}{3 \times 4} = \frac{1}{12} \]
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Now multiply the result by \(\frac{5}{2}\):
\[ \frac{1}{12} \times \frac{5}{2} = \frac{1 \times 5}{12 \times 2} = \frac{5}{24} \]
Thus, the volume of the right rectangular prism is:
\[ \frac{5}{24} \text{ cubic meters} \]
Therefore, the reduced answer is:
5/24 cubic meters