Question

10. A small gold nugget has volume of 0.87 cm3. What is its mass if the density of gold is 19.3 g/cm3?

Answer 1

16.791 grams

Step-by-step explanation:

The density formula is:

`d=(m)/(v)`

Rearrange the formula for m, the mass. Multiply both sides of the equation by v.

`d*v=(m)/(v)*v`

`d*v=m`

The mass of the gold nugget can be found by multiplying the density and volume. The density is 19.3 grams per cubic centimeter and the volume is 0.87 cubic centimeters.

`d= 19.3 g/cm^3\\v-0.87 cm^3`

Substitute the values into the formula.

`m=d*v`

`m= 19.3 g/cm^3*0.87 cm^3`

Multiply. Note that the cubic centimeters, or cm³ will cancel each other out.

`m=19.3 g*0.87`

`m=16.791 g`

The mass of the gold nugget is 16.791 grams.