To find the new density of the heated cube, the original density is 869 kg/m3 with a volume of 125 cm3. Upon heating, the cube's volume increases to 125.00255 cm3, but the mass remains constant as the number of atoms does not change. The relevant equation for density is d = m/v, where mass is calculated from the original density and volume. The new density can be determined by using the original mass and the new volume. The final density will reflect the slight increase in volume while maintaining the same mass.