# A pine block weighing 1 kg has a volume of 2.5 cm ^ 3. Determine its density.

September 28, 2021 | education

| The density of a substance indicates the mass of this substance in a unit volume, usually in a cubic meter or in a cubic centimeter. To determine the density of a pine block with a mass of m = 1 g = 0.001 kg, occupying a volume of V = 2.5 cm ^ 3 = 2.5 ∙ 10 ^ (- 6) m ^ 3, we use the formula ρ = m: V. In the SI system : ρ = 0.001 kg: (2.5 ∙ 10 ^ (- 6) m ^ 3) = 400 kg / m ^ 3. Fractional units of density measurement are often used g / cm ^ 3, in this case ρ = 1 g: 2.5 cm ^ 3 = 0.4 g / cm ^ 3. Answer: the density of a pine block is 400 kg / m ^ 3 or 0.4 g / cm ^ 3.

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