Question

An object has a mass of 18.4 g and a volume of 11.2 mL. What is the density of the object?

Answer 1

Step-by-step explanation:

`density (\rho)=(mass)/(volume)`

do note that you have to use the standardized units for both mass and volume.

mass - kilogram

volume -
`m^3`

`1 kg = 1000g`

`(1 kg)/(1000g) =1`

so if we have 18.4 g, then:

`18.4* (1 kg)/(1000g) =0.0184`

now for the volume

`1 m^3=1000L\\1m^3=1,000,000mL`

`(1m^3)/(1,000,000mL)=1`

thus, 18.4 mL can be converted to m^3 through:

`11.2 * (1m^3)/(1,000,000mL) =1.12* 10^(-5)`

we can then find the density:

`\rho=(0.0184)/(1.12*10^(-5))`

using a calculator:

`\rho=1642.9 (kg)/(m^3)`