The granite block for the monument before processing had a mass of 1600 tons.

The granite block for the monument before processing had a mass of 1600 tons. How many columns with a volume of 4 m3 could be made from such a mass of granite?

To find out the possible number of manufactured columns, consider the formula: n = Vгг / Vк = mгг / (ρг * Vк), where mгг is the mass of a granite block (mгг = 1600 t = 1.6 * 10 ^ 6 kg); ρg – density of granite (const; according to the condition of the principle ρg = 2600 kg / m3); Vк – the volume of each column (Vк = 4 m3).

Let’s perform the calculation: n = mg / (ρg * Vk) = 1.6 * 10 ^ 6 / (2600 * 4) ≈ 153.85 pcs. ≈ 153 pcs.

Answer: The possible number of manufactured columns is 153 pcs.