To find the volume of the right rectangular prism that consists of 10 cubes, each with an edge length of \( \frac{1}{3} \) meter, we can follow these steps:
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Calculate the volume of one cube: The volume \( V \) of a cube with edge length \( s \) is given by the formula: \[ V = s^3 \] For our cubes: \[ V = \left( \frac{1}{3} \right)^3 = \frac{1}{27} \text{ cubic meters} \]
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Calculate the total volume of 10 cubes: Since there are 10 cubes, the total volume \( V_{total} \) will be: \[ V_{total} = 10 \times \frac{1}{27} = \frac{10}{27} \text{ cubic meters} \]
Thus, the volume of the right rectangular prism is \(\frac{10}{27}\) cubic meters.
The correct response is: 10/27 cubic meters (or 10 over 27 cubic meters).