Question

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

Answer 1

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
`m`

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