128k views
4 votes
Unobtainium, a solid, has a density of 40 g/cm3. Calculate the volume of a 64.6 g

sample of Unobtainium.
O 0.625 ml
O 1.6 cm3
O 1.6 g/mL
0 0.625 cm3

1 Answer

4 votes

Answer:

1.6 cm³

Step-by-step explanation:

The density is equal to mass divided by the volume. So, we can solve the equation for the volume as follows


\begin{gathered} \rho=(m)/(V) \\ \rho V=(m)/(V)V \\ \rho V=m \\ (\rho V)/(\rho)=(m)/(\rho) \\ V=(m)/(\rho) \end{gathered}

Where ρ is the density, m is the mass and V is the volume

Replacing the density by 40 g/cm³ and the mass by 64.4 g, we get


V=(64.4g)/(40g/cm^3)=1.61\operatorname{cm}^3

Therefore, the answer is

1.6 cm³

User Wrxsti
by
5.1k points