To find the volume of a rectangular pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this case, the base area can be found by multiplying the length and width:
\[ \text{Base Area} = \text{Length} \times \text{Width} = 32 , \text{cm} \times 25 , \text{cm} = 800 , \text{cm}^2 \]
Now, use the height (altitude) of the pyramid, which is given as 41 cm:
\[ \text{Volume} = \frac{1}{3} \times 800 , \text{cm}^2 \times 41 , \text{cm} \]
Calculating it step-by-step:
\[ \text{Volume} = \frac{1}{3} \times 800 \times 41 \] \[ = \frac{1}{3} \times 32,800 \] \[ = 10,933.33 , \text{cm}^3 \]
Thus, the correct response is:
10,933.33 cm³.
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