To find the volume of the right rectangular prism made up of 4 cubes that are each \( \frac{1}{5} \) inch on each side, we can use the formula for the volume of a cube, which is \( V = s^3 \), where \( s \) is the length of a side of the cube.
-
First, calculate the volume of one cube: \[ V = \left(\frac{1}{5}\right)^3 = \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = \frac{1}{125} \text{ cubic inches} \]
-
Since there are 4 such cubes, we now multiply the volume of one cube by 4: \[ V_{\text{total}} = 4 \times \frac{1}{125} = \frac{4}{125} \text{ cubic inches} \]
Thus, the volume of the right rectangular prism is \( \frac{4}{125} \) cubic inches. This is already in its lowest terms.
The correct response is: 4/125 cubic inches.