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14 June, 03:04

two similar containers have base areas 26cm² and 324cm² respectively. Calculate the capacity of the larger container correct to one decimal place if the capacity of the smaller one is 8cm²

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  1. 14 June, 05:34
    0
    The Correct Answer Is 351.9 cm^3
  2. 14 June, 06:45
    0
    351.9 cm³

    Step-by-step explanation:

    The ratio of the areas of two similar solids is equal to the square of the ratio of the lengths.

    A₂ / A₁ = (s₂ / s₁) ²

    The ratio of the volumes of two similar solids is equal to the cube of the ratio of the lengths.

    V₂ / V₁ = (s₂ / s₁) ³

    Therefore, we can say:

    V₂ / V₁ = (A₂ / A₁) ^ (3/2)

    Plugging in values:

    V / 8 cm³ = (324 cm² / 26 cm²) ^ (3/2)

    V = 351.9 cm³
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