What is the base area of a marble column with a height of 8 m and a mass of 25.92 tons?

These tasks: h (height of the considered marble column) = 8 m; m (column mass) = 25.92 t (in SI m = 25.92 * 103 kg).

Reference values: according to the condition ρm (density of marble) = 2700 kg / m3.

We express the area of the base of the considered marble column from the equality: S * h = V = m / ρm, whence S = m / (h * ρm).

Let’s calculate: S = 25.92 * 103 / (8 * 2700) = 1.2 m2.

Answer: The marble column in question has a base area of 1.2 m2.