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24 December, 16:47

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

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Answers (2)
  1. 24 December, 17:02
    0
    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
  2. 24 December, 17:04
    0
    The answer is 27 cm3
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