Answered

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

Answer :

Answer:

1.6 cm³

Explanation:

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

[tex]\begin{gathered} \rho=\frac{m}{V} \\ \rho V=\frac{m}{V}V \\ \rho V=m \\ \frac{\rho V}{\rho}=\frac{m}{\rho} \\ V=\frac{m}{\rho} \end{gathered}[/tex]

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

[tex]V=\frac{64.4g}{40g/cm^3}=1.61\operatorname{cm}^3[/tex]

Therefore, the answer is

1.6 cm³

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