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A scale model of a statue has a height of 15 cm. The real statue has a height of 1.05 m. The model and statue are both made of the same stone which has a density of 2 g/cm3. The mass of the real statue is 672.28 kg. Find the volume of the model in cm3

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 Mar 12, 2020
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The volume of the real statue is Vreal = 672.28*103g/(2g/cm3) = 336.14*103 cm3.

 

Volumes scale as the cube of linear dimensions, so the scale factor is (15cm/105cm)3 = (1/7)3.

 

Hence the model has a volume of 336.14*103*(1/7)3 cm3.

 

You can do the number crunching.

 Mar 12, 2020

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