To find out the pressure on the ground exerted by the specified marble column, we use the formula: P = Fт / S = mк * g / S = ρm * V * g / S, where ρm is the density of the marble (const; ρm = 2700 kg / m3); V is the volume of the specified column (V = 6 m3); g – acceleration due to gravity (const; g = 9.81 m / s2); S – base area (S = 1.5 m2).
Let’s perform the calculation: P = ρm * V * g / S = 2700 * 6 * 9.81 / 1.5 = 105948 Pa ≈ 106 kPa.
Answer: The specified marble column must exert a pressure of 106 kPa.
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