To find the volume of the rectangular cuboid using the dimensions provided, we will use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
The given dimensions are:
- Length = \( \frac{2}{5} \) inches
- Width = \( \frac{1}{5} \) inches
- Height = \( \frac{2}{5} \) inches
Now, we can calculate the volume:
\[ \text{Volume} = \left(\frac{2}{5}\right) \times \left(\frac{1}{5}\right) \times \left(\frac{2}{5}\right) \]
First, multiply the numerators together and the denominators together:
\[ = \frac{2 \times 1 \times 2}{5 \times 5 \times 5} = \frac{4}{125} \]
Thus, the volume of the rectangular cuboid is \( \frac{4}{125} \) cubic inches.
The correct answer is:
\[ \frac{4}{125} \text{ cubic inches} \]
So the final response is:
Start Fraction 4 over 125 End Fraction cubic inches