Question

If a 45.6 g piece of aluminum has a density of 2.1 g/mL, what volume would it have?

Answer 1

`\boxed {\tt 21.7142857 \ mL}`

Step-by-step explanation:

The density formula is:

`d=(m)/(v)`

Rearrange this formula for v, volume. Multiply by v, then divide by d.

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

`d*v=m`

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

`v=(m)/(d)`

Volume can be found by dividing the mass by the density. The mass of the aluminum is 45.6 grams and the density is 2.1 grams per milliliter.

`v=(45.6 \ g )/( 2.1 \ g/mL)`

Divide. Note the grams, or g, will cancel out.

`v=(45.6 )/(2.1 \ g)`

`v= 21.7142857 \ mL`

The volume of the aluminum is 21.7142857 milliliters.