The volume of a cube is given by the formula V = s^3, where V is the volume and s is the side length of the cube. Plugging in the given value of s = 3.75 m, the volume of the cube is V = (3.75 m)^3 = 42.1875 m^3. Rounding to the nearest hundredth, the volume of the cube is 42.19 m^3.