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 base, the base area \( A \) is calculated as:
\[ A = \text{length} \times \text{width} \]
Given:
- Length = 32 cm
- Width = 25 cm
- Height (altitude) = 41 cm
First, calculate the base area:
\[ A = 32 , \text{cm} \times 25 , \text{cm} = 800 , \text{cm}^2 \]
Next, substitute the base area and height into the volume formula:
\[ V = \frac{1}{3} \times 800 , \text{cm}^2 \times 41 , \text{cm} \]
Now calculate:
\[ V = \frac{1}{3} \times 800 \times 41 = \frac{32800}{3} \approx 10933.33 , \text{cm}^3 \]
Therefore, the volume of the rectangular pyramid is:
10,933.33 cm³