L = 2 m.
a = 1.5 m.
P = 3 kPa = 3000 Pa.
g = 9.8 m / s2.
P = F / S – the formula for determining the pressure of the plate on the soil.
F = m * g is the weight of the concrete slab.
The slab has the shape of a rectangular parallelepiped, so the area S, on which the weight of the concrete slab acts, has the shape of a rectangle.
S = L * a.
The formula for determining the pressure of the plate will be: P = m * g / L * a.
We express the mass of the concrete slab by the formula: m = P * L * a / g.
m = 3000 Pa * 2 m * 1.5 m / 9.8 m / s2 = 918 kg.
Answer: a concrete slab has a mass of m = 918 kg.
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