To find the volume of a right rectangular prism, you can use the formula:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
In your case, the dimensions of the prism are given as:
- Length = \(\frac{4}{7}\) ft
- Width = \(\frac{3}{7}\) ft
- Height = \(\frac{2}{7}\) ft
Now, we can substitute these values into the volume formula:
\[ \text{Volume} = \left(\frac{4}{7}\right) \times \left(\frac{3}{7}\right) \times \left(\frac{2}{7}\right) \]
First, calculate the multiplication:
\[ \text{Volume} = \frac{4 \times 3 \times 2}{7 \times 7 \times 7} \]
Calculating the numerator:
\[ 4 \times 3 = 12 \] \[ 12 \times 2 = 24 \]
And calculating the denominator:
\[ 7 \times 7 \times 7 = 343 \]
Putting it all together:
\[ \text{Volume} = \frac{24}{343} \text{ ft}^3 \]
So, the volume of the right rectangular prism is
\[ \frac{24}{343} \text{ ft}^3. \]