# A metal rod with a length of 2 m and a cross-section of 4 cm² has a mass of 6.24 kg.

March 29, 2021 | education

| **A metal rod with a length of 2 m and a cross-section of 4 cm² has a mass of 6.24 kg. What is the density of the metal from which the rod is made?**

Initial data: l (length of a metal rod) = 2 m; S (cross-sectional area of a metal rod) = 4 cm2; m (mass of a metal rod) = 6.24 kg.

SI system: S = 4 cm2 = 4 * 10 ^ -4 m2.

1) Calculate the volume of the metal rod: V = S * l = 4 * 10 ^ -4 * 2 = 8 * 10 ^ -4 m3.

2) Determine the density of the metal from which the rod is made: ρ = m / ρ = 6.24 / (8 * 10 ^ -4) = 7800 kg / m3 (iron, steel).

Answer: The density of the metal from which the rod is made is 7800 kg / m3.

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