Question

The density of a metal is 11.4 g/cm3. How much volume (in cm3) would a sample of 30.5 g have?

Answer 1

The Concept:

We are given the density of a sample of the metal = 11.4 grams / cm³

and we need to find the volume occupied by a sample of 30.5 grams

For this solution, we will use dimensional analysis

from the given information, we can also say that the density of the metal is:

1 cm³ / 11.4 grams

If we multiply this value by 30.5 grams, the 'grams' in the numerator and the denominator will cancel out and we will be left with the volume occupied by 30.5 grams of the metal

Solving for the volume:

$\frac{ 1 cm^{3} }{11.4 grams}$  X  30.5 grams  = (30.5 / 11.4) cm³

Volume of 30.5 grams of the sample = 2.68 cm³