unfortunately the terms 'weight' and 'mass' are often are interchanged.
You are right: the physical character of the 'weight' in that of a 'force'; thus the mass with unit in [g] or [kg] has to be multiplied by the acceleration g [e.g. in m/s2] of the earth and the resulting unit of the weight will be [N] or [kN].
In soil literature, both, the 'mass' and the 'weight' are used, when dealing with the 'soil weight'. So one has always to take care about the units in use.
Dear Praveen Thakur Science is wrong on Newtonian weight and mass of object. First of all, Earth's gravity is working with Temperature, pressure and mass of object, not Newtonian weight. If Earth (nature) was going to follow our icon modeling, or equation, Earth never would have rain. For same reason bottom of rain is curve, not pointing down. Read some of my articles. Here is
Article Quantum Mechanics Gravity, Mechanical Gravity of Newton is Myth
The weight of soil on a one-hectare area is calculated using the formula you provided: Weight of soil = Area of soil * Bulk density of soil * Depth of soil. This formula calculates the weight of the soil by multiplying its volume (Area * Depth) by its bulk density. The bulk density of soil is a measure of its mass per unit volume, and it takes into account the acceleration due to gravity (g). In other words, the bulk density of soil already includes the effect of gravity, so there is no need to multiply by g again when calculating the weight of the soil.