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 = \( \frac{1}{3} \) m
- Width = \( \frac{1}{4} \) m
- Height = \( 2\frac{1}{2} \) m = \( \frac{5}{2} \) m (since \( 2\frac{1}{2} \) can be converted to an improper fraction)
Now we can substitute these values into the volume formula:
\[ \text{Volume} = \left( \frac{1}{3} \right) \times \left( \frac{1}{4} \right) \times \left( \frac{5}{2} \right) \]
Calculating step-by-step:
- First, multiply the fractions:
\[ \frac{1}{3} \times \frac{1}{4} = \frac{1 \times 1}{3 \times 4} = \frac{1}{12} \]
- Next, multiply \( \frac{1}{12} \) 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 prism is:
\[ \frac{5}{24} \text{ cubic meters} \]
So, the correct response is:
5/24 cubic meters.