The volume \( V \) of a rectangular pyramid can be calculated using the formula:
\[ V = \frac{1}{3} \times \text{base area} \times \text{height} \]
For a rectangular pyramid, the base area can be calculated as:
\[ \text{base area} = \text{length} \times \text{width} \]
Given the length \( L = 32 \) cm, width \( W = 25 \) cm, and altitude (height) \( h = 41 \) cm, we can first calculate the base area:
\[ \text{base area} = 32 , \text{cm} \times 25 , \text{cm} = 800 , \text{cm}^2 \]
Now, substituting the values into the volume formula:
\[ V = \frac{1}{3} \times 800 , \text{cm}^2 \times 41 , \text{cm} \]
Calculating \( 800 \times 41 \):
\[ 800 \times 41 = 32800 , \text{cm}^3 \]
Now, calculating the volume:
\[ V = \frac{1}{3} \times 32800 , \text{cm}^3 = 10933.33 , \text{cm}^3 \]
Therefore, the volume of the rectangular pyramid is:
\[ \boxed{10,933.33 , \text{cm}^3} \]