Question

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

Answer 1

Answer:

$\boxed {\tt 21.7142857 \ mL}$

Explanation:

The density formula is:

$d=\frac{m}{v}$

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

$d*v=\frac{m}{v}$

$d*v=m$

$\frac{d*v}{d} =\frac{m}{d}$

$v=\frac{m}{d}$

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.

$v=\frac{45.6 \ g }{ 2.1 \ g/mL}$

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

$v=\frac{45.6 }{2.1 \ g}$

$v= 21.7142857 \ mL$

The volume of the aluminum is 21.7142857 milliliters.