Question

Suppose you have three objects of equal mass. The first object has a volume of 5 cm3 and is made of a material of density 2 g/cm3. The second object has a volume of 10 cm3 and is made of a material of density 1 g/cm3. What is the density rho of the material of the third object if its volume is 15 cm3?

Answer 1

Answer:

2 g/cm³

Explanation:

m = Mass of object

v = Volume

ρ = Density

When ρ = 2 g/cm³ , v = 5 cm³

$\rho=\frac{m}{v}\\\Rightarrow m=\rho v\\\Rightarrow m=2\times 5\\\Rightarrow m=10\ g$

All the objects have same mass, which is 10 grams

When v = 5 cm³

$\rho=\frac{m}{v}\\\Rightarrow \rho=\frac{10}{5}\\\Rightarrow \rho=2\ g/cm^3$

Density of third object is 2 g/cm³

Answer 2

Answer:

Density  ρ= 0.66 $\frac{g}{cm^{3} }$

Explanation:

ρ$= \frac{m}{v}$

$m= mass$, $v= volume$ ρ$= density$

ρ$*v= m$

$2 \frac{g}{cm^{3} } * 5cm ^{3} = 10 g$

$1 \frac{g}{cm^{3} } * 10cm ^{3} = 10 g$

ρ$= \frac{10g}{15 cm^{3}}= 0.66$

$0.66 \frac{g}{cm^{3} } * 15cm ^{3} = 10 g$