To determine the number of cubes needed to fill the rectangular prism, we need to know the volume of the prism and the volume of a single cube.
You provided the area of the base as 6 yd², but we also need the height of the prism to calculate its volume. The volume \( V \) of a rectangular prism is given by the formula:
\[ V = \text{Base Area} \times \text{Height} \]
Assuming the cubes have a side length of \( s \), the volume of one cube is given by:
\[ V_{\text{cube}} = s^3 \]
To find the number of cubes needed, we would use the formula:
\[ \text{Number of cubes} = \frac{V}{V_{\text{cube}}} \]
However, without knowing the height of the prism or the side length of the cubes, it's impossible to determine the exact number of cubes needed.
If you can provide either the height of the prism or the side length of the cubes, I can help you find the number of cubes required to fill the prism.