Question

Analayze the unit and express the quantity in the basic unit of the metric system Density of 8.880 g/cm^3 = ?

Answer 1

`"8.880 g/cm"^3"` `=` `"8880 kg/m"^3"`

Explanation:

The SI fundamental unit for mass is the kilogram (kg), and the fundamental unit for length is the meter (m). The derived unit for volume is the cubic meter `("m"^3")`.

What equals what:

`"1 kg"` `=` `"1000 g"`

`"1 m"` `=` `"100 cm"`

`"1 m"^3"=100 cm"xx"100 cm"xx"100 cm"`

`"1 m"^3"` `=` `1xx"10"^6" cm"^3"`

Multiply the density in `"g/cm"^3"` by the conversion factors that cancel grams and cubic centimeters.

`(8.880color(red)cancel(color(black)("g")))/color(red)cancel(color(black)("cm"^3))xx(1"kg")/(1000color(red)cancel(color(black)("g")))xx(1xx"10"^6color(red)cancel(color(black)("cm"^3)))/(1"m"^3)="8880 kg/m"^3"`