Knowing that the density of iron is 7.8 g / cm3, find the length of the edge of the iron cube if its mass is 975 g.

Problem data: m (mass of the iron cube taken) = 975 g.

Constants: according to the condition ρzh (density of iron) = 7.8 g / cm3.

To find the length of the edge of the considered iron cube, we use the formula: V = a ^ 3 = m / ρzh, whence a = (m / ρzh) ^ 1/3.

Let’s make a calculation: a = (975 / 7.8) ^ 1/3 = 5 cm.

Answer: The iron cube in question has an edge length equal to 5 cm.