Discussion

VPQRS is rectangle based pyramid where PQ = 30cm, QR = 20cm and volume is 2000cm³, height is

Answer: C

A pyramid's volume is a third of the prism on the same base:

\[ V = \frac{1}{3} \times \text{base area} \times h \]

\[ \text{base area} = 30 \times 20 = 600 \text{ cm}^{2} \]

\[ 2000 = \frac{1}{3} \times 600 \times h = 200h \]

\[ h = 10 \text{ cm} \]

Omitting the \( \tfrac{1}{3} \) gives 3.33 cm; the same one-third factor appears in the cone formula, and for the same geometric reason.

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