Question

A brass bar, density 9.87g/cm3, has a volume of 20.25cm3. What is the mass of this brass bar?

Answer 1

Answer:

The mass of the bar = 199.87 grams

Explanation:

Given:

Density of a brass bar = 9.87 $g/cm^3$

Volume of bar = 20.25 $cm^3$

To find the mass of the brass bar.

Solution:

Density of a body is defined as mass of the body per unit volume of the body.

Thus, we have:

$\rho=\frac{m}{V}$

where:

$\rho\rightarrow$ density of the body

$m\rightarrow$ mass of the body

$V\rightarrow$ Volume of the body

Plugging in the given values.

$9.87\ g/cm^3=\frac{m}{20.25\ cm^3}$

Solving for $m$

Multiplying both sides by 20.25 $cm^3$.

$20.25\ cm^3\times 9.87\ g/cm^3=\frac{m}{20.25\ cm^3}\times 20.25\ cm^3$

$199.87\ g =m$

∴ $m=199.87\ g$

Thus, the mass of the bar = 199.87 grams