To find the volume of a rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For a square pyramid with a side length \( s = 12 \) meters:
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Calculate the base area: \[ \text{Base Area} = s^2 = 12^2 = 144 , \text{m}^2 \]
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Use the height \( h = 10 \) meters in the volume formula: \[ V = \frac{1}{3} \times 144 , \text{m}^2 \times 10 , \text{m} \] \[ V = \frac{1}{3} \times 1440 , \text{m}^3 \] \[ V = 480 , \text{m}^3 \]
Therefore, the volume of the rectangular pyramid is 480 m³.