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Question
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a crystal paperweight in the form of a square pyramid is represented by the figure below.
what is the volume of the paperweight, in cubic centimeters?
\boxed{} $cm^3$
Step1: Calculate base area
The base is a square with side length 6 cm, so area is $6 \times 6 = 36$ $\text{cm}^2$.
Step2: Apply pyramid volume formula
Volume of a pyramid is $\frac{1}{3} \times \text{base area} \times \text{height}$. Substitute values: $\frac{1}{3} \times 36 \times 9$
Step3: Compute final volume
First calculate $\frac{1}{3} \times 36 = 12$, then $12 \times 9 = 108$
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108 $\text{cm}^3$