What is the mass of a cube of side measuring m if it exerts a pressure of N on the ground?

To find the mass of a cube with side length ( m ) that exerts a pressure ( N ) on the ground, we can use the relationship between pressure, force, and area. Pressure is defined as ( P = \frac{F}{A} ), where ( F ) is the force (or weight) and ( A ) is the area of the base of the cube. The area ( A ) of one face of the cube is ( m^2 ), and the weight ( F ) can be expressed as ( F = mg ), where ( g ) is the acceleration due to gravity. Setting ( N = \frac{mg}{m^2} ) and solving for mass ( m ) gives ( m = \frac{N m^2}{g} ).