17PBezdek 17PBezdek
  • 11-06-2020
  • Mathematics
contestada

A ( 10cm height) and B ( 15cm height) are two similar solids the volume of A is 400cm^3 work out the volume of b

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jimrgrant1 jimrgrant1
  • 11-06-2020

Answer:

1350 cm³

Step-by-step explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid  B = 1350 cm³

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