To find the volume of a square-based pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Given that the base area is 144 square centimeters and the height is 12 centimeters, we can plug these values into the formula:
\[ \text{Volume} = \frac{1}{3} \times 144 , \text{cm}^2 \times 12 , \text{cm} \]
Calculating this step by step:
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First, multiply the base area by the height: \[ 144 \times 12 = 1,728 , \text{cm}^3 \]
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Now, take one third of that result: \[ \text{Volume} = \frac{1}{3} \times 1,728 = 576 , \text{cm}^3 \]
Therefore, the volume of the square-based pyramid is 576 cm³.