What is the volume of a rectangular pyramid with a length of 32 cm, a width of 25 cm, and an altitude of 41 cm? (1 point)

The volume \( V \) of a rectangular pyramid can be calculated using the formula:

\[ V = \frac{1}{3} \times \text{length} \times \text{width} \times \text{height} \]

Given:

• Length = 32 cm
• Width = 25 cm
• Height (altitude) = 41 cm

Substituting the values into the formula:

\[ V = \frac{1}{3} \times 32 , \text{cm} \times 25 , \text{cm} \times 41 , \text{cm} \]

Now, calculate the volume step by step:

1. Calculate the area of the base: \[ 32 , \text{cm} \times 25 , \text{cm} = 800 , \text{cm}^2 \]

2. Multiply the area by the height: \[ 800 , \text{cm}^2 \times 41 , \text{cm} = 32,800 , \text{cm}^3 \]

3. Now divide by 3 to get the volume of the pyramid: \[ V = \frac{32,800 , \text{cm}^3}{3} = 10,933.33 , \text{cm}^3 \]

Thus, the volume of the rectangular pyramid is 10,933.33 cm³.