To find the volume of a square-based pyramid, we can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Given:
- Base Area = 144 cm²
- Height = 12 cm
Now, substituting the values into the formula:
\[ \text{Volume} = \frac{1}{3} \times 144 , \text{cm}^2 \times 12 , \text{cm} \]
Calculating it step-by-step:
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Calculate the product of the base area and the height: \[ 144 \times 12 = 1,728 , \text{cm}^3 \]
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Now, divide by 3: \[ \text{Volume} = \frac{1,728}{3} = 576 , \text{cm}^3 \]
Thus, the volume of the square-based pyramid is:
\[ \boxed{576 , \text{cm}^3} \]