Question

The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135 cm3. What is the volume of the smaller pyramid?

40 cm3


90 cm3


60 cm3


27 cm3

Answer 1

If the height Ration is a/b, then

The ration of the arias S₁ & S₂==> S₁/S₂ = a²/b² and
The ration of the volumes V₁ & V₂==> V₁/V₂ =a₃/b₃

V₁ =135 cm³ the ration of the heights = 3/2, Calculate V₂
V₁/V₂ =3³/2³ = 27/8===> 135/V₂ = 27/8==> V₂=(135x8)/27 = 40cm³