Calculate the mass of a sample of gold that occupies 0.242 cm3
. The density of gold is
19.3 g/cm3
.
Answer in units of g.

Explanation:

We are asked to calculate the mass of a sample of gold. We are given the density and volume.

Density is a substance's mass per unit volume. Therefore, the formula for calculating density is:

The density is 19.3 grams per cubic centimeter and the volume is 0.242 cubic centimeters. Substitute the values into the formula.

We are solving for the mass of the gold sample, so the variable m must be isolated. It is being divided by 0.242 cubic centimeters. The inverse operation of division is multiplication. Multiply both sides of the equation by 0.242 cm³.

The units of cubic centimeters cancel.

The original measurements of mass and density both have 3 significant figures, so our answer must have the same. For this number, 3 sig fig is the hundredth place. The 0 in the thousandth place tells us to leave the 7.

The mass of the gold sample is approximately 4.67 grams.

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