Question

The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135cm^3. What is the volume of the smaller pyramid?
A)40cm^3 B)90cm^3 C)27cm^3 D)60cm^3

Answer 1

Correct answer is B.

$\frac{V_1}{V_2} = \frac{3}{2} \\ \frac{135}{V_2} = \frac{3}{2} \\3V_2=135 \times 2 \\ V_2= \frac{135 \times 2}{3} \\ V_2=90$