A piece of sugar has dimensions: a = 1 cm, b = 2.5 cm, c = 0.8 cm. Its mass is 3.2 grams, determine the density of sugar.
| February 21, 2021 | education
a = 1 cm = 0.01 m.
b = 2.5 cm = 0.025 m.
s = 0.8 cm = 0.008 m.
m = 3.2 g = 0.0032 kg.
ρ -?
The density of a substance ρ is the ratio of the mass m to the volume of the substance V: ρ = m / V.
A piece of sugar has the shape of a rectangular parallelepiped with edges a, b, c. We find the volume of a sugar cube by the formula: V = a * b * c.
We find the density of sugar by the formula: ρ = m / a * b * c.
ρ = 0.0032 kg / 0.01 m * 0.025 m * 0.008 m = 1600 kg / m ^ 3.
Answer: the density of sugar is ρ = 1600 kg / m ^ 3.
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