Question

A scale model of a statue has a height of 10 cm. The real statue has a height of 2 m. The model and statue are both made of the same stone which has a density of 2 g/cm(3). The mass of the real statue is 1632 kg. Find the volume of the model in cm(3)

Answer 1

102 cm³

Explanation:

density = m/v

1 g = 0.001 kg

Volume of real statue = v = m/d = 1632 kg / 0.002 kg/cm³ = 816,000 cm³

scale factor for height: 200 cm : 10 cm = 20 : 1

scale factor for volume: 20³ : 1³ = 8,000 : 1

Volume of model = 816,000 cm³ / 8,000 = 102 cm³