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

Question

asked Nov 5, 2021 96.8k views

1 Answer

Lucas Rezende · Answer 1 · 2021-11-09T15:06:01+0000

Answer:

The mass of the bar = 199.87 grams

Step-by-step 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:

$\rho=(m)/(V)$

where:

$\rho\rightarrow$ density of the body

$m\rightarrow$ mass of the body

$V\rightarrow$ Volume of the body

Plugging in the given values.

$9.87\ g/cm^3=(m)/(20.25\ cm^3)$

Solving for

Multiplying both sides by 20.25
cm^3 .

$20.25\ cm^3* 9.87\ g/cm^3=(m)/(20.25\ cm^3)* 20.25\ cm^3$

$199.87\ g =m$

∴
$m=199.87\ g$

Thus, the mass of the bar = 199.87 grams