The tower is 500 meters high and weighs 70,000 tons. How much mass would an accurate

The tower is 500 meters high and weighs 70,000 tons. How much mass would an accurate model of this half-meter tower have?

Data: H (height of the indicated tower) = 500 m; M (tower mass) = 7 * 10 ^ 4 t = 7 * 10 ^ 7 t; h (exact model height) = 0.5 m.

1) Change in linear dimensions: k = H / h = 500 / 0.5 = 10 ^ 3 times.

2) Change in volume: n = k3 = (10 ^ 3) ^ 3 = 109 times.

3) Mass of the exact model: m = M / n = 7 * 10 ^ 7/10 ^ 9 = 7 * 10 ^ -2 kg = 70 g.

Answer: The exact model of the indicated tower should have a mass of 70 g.