Question

An object has a mass of 48 g and it has a height of 5 cm a width of 2 cm and a length of 5 cm. what is the density of the object?

Answer 1

Answer: $0.96 g/cm^{3}$

Explanation:

Density $\rho$ is defined as the relation between the mass $m$ of an object and its volume $V$:

$\rho=\frac{m}{V}$ (1)

On the other hand, the volume of the object (assuming it has a rectangular shape) is:

$V=(length)(height)(width)$ (2)

Where:

$length=5 cm$

$height=5 cm$

$width=2 cm$

Then: $V=(5 cm)(2 cm)(5 cm)=50cm^{3}$ (3)

Substituting (3) in (1) and taking into account $m=48 g$:

$\rho=\frac{48g}{50 cm^{3}}$ (4)

$\rho=0.96g/cm^{3}}$ (5)