Worked Examples-Calculation Part 1-Measurement

Considered Formula

$$\rho = \frac{m}{v}$$ $$\text {Where}~~\rho \to Density,~~~~~ m \to Mass ~~~~~ v \to Volume$$

Example 1

A body of mass 40 g has a volume of 8 cm³. Calculate density

Solution

Mass (m) = 40 g
Volume (v) = 8 cm³ $$\text {Density}(\rho ) = \text {?}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~\rho = \frac{m}{v}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{40}{8}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 5~g/cm^3$$

The density of a body = 5 g/cm³

Example 2

A liquid X of mass 0.06 Kg has volume of 20 cm³. Find the density of the liquid X

Solution

Mass (m) = 0.06 Kg = (0.06 x 1000) g = 60 g
Volume (v) = 20 cm³ $$\text {Density}(\rho ) = \text {?}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~\rho = \frac{m}{v}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{60}{20}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 3~g/cm^3$$

The density of a Liquid X = 3 g/cm³