Question

Suppose a similar rectangular pyramid to the one shown has a scale factor of 2/3. What would be the volume of the new pyramid? A. 182.52 ft^3. B. 1,460.15 ft^3. C. 2,190.22 ft^3, D. 3,285.33 ft^3.

Answer 1

When linear scale = 2/3, volumes scale by (2/3)^3 = 8/27. The original pyramid (from the figure) has volume 11,088 ft^3, so the new volume is

11,088 × (2/3)^3 = 11,088 × 8/27 = 3,285.33 ft^3.

Answer: D.