A scale model of a statue has a height of 15 cm.
The real statue has a height of 1.8 m.
The model and statue are both made of the same stone which has a density of 2.5 g/cm3.
The mass of the real statue is 432 kg.
Find the volume of the model in cm3
1.8 m = 180 cm
432 kg = 432,000 g
Mass = Density * Volume
432,000 g = 2.5 g/ cm^3 * Volume
(432,000) / (2.5) cm^3 = 172800 cm^3 = Volume of real thing
The scale factor of the model to the real thing is 15 / 180 = 1/12
Volume of model =
Volume of real thing * scale factor^3 =
172800 * ( 1/12)^3 = 100 cm^3