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Solids X and Y are similar. X has volume of 64cm^3, Y has a volume of 729cm^3, the surface area of X is 208cm^2, work out the surface area of Y

Solids X and Y are similar X has volume of 64cm3 Y has a volume of 729cm3 the surface area of X is 208cm2 work out the surface area of Y class=

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adioabiola

The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²

How to solve for surface area?

Volume:

  • Solid X = 64cm³
  • Solid Y = 729cm³

Surface area:

  • Solid X = 208cm²
  • Solid Y = x

Ratio of volume to surface area of solid X and Y respectively

64 : 208 = 729 : x

64/208 = 729/x

  • cross product

64 × x = 208 × 729

64x = 151,632

x = 151,632 / 64

x = 2,369.25cm²

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