Calculate the mass of a solid with a density of 14.2 g/cm3 and volume of 3.0 cm3.?

Answer 1

d = mass (g)/ volume (cm3)

mass (g) = d V = 14.2 g /cm3 (3 .0 cm3) = 42.6 g

Answer 2

This is a good exercise for learning to work with variables, and the algebra that makes them what they are...

Remember that d = m / v
Density is equal to the mass of a substance per unit volume.
It's a ratio of mass over volume, hence the m divided by v.

d = m/v is an equation that has algebraic integrity. If you do the same operation to both sides of the equation, both sides are still equal. If we multiply both sides by the same constant, the products of each side are still equal. So, if we multiply both sides by the volume, we then get

v*d = (m/v)*v

Let's apply the associative property...

(m/v)*v = (m*v/v) = (m*1) = m. So...

m = v*d

You have successfully (and algebraically) transformed your equation into its more applicable form for this problem.

m = v*d = (3.0 cm^3)*(14.2 g / cm^3) = 42.6 g

*NOTE: Units operate the same way numbers do. Did you see how the cubic cm in the numerator and denominator both went away? They cancelled... Go read up on "cancellation" for next time.

Answer 3

14.2 x 3 = 42.6g