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

2 g/cm³

Step-by-step explanation:

m = Mass of object

v = Volume

ρ = Density

When ρ = 2 g/cm³ , v = 5 cm³

`\rho=(m)/(v)\\\Rightarrow m=\rho v\\\Rightarrow m=2* 5\\\Rightarrow m=10\ g`

All the objects have same mass, which is 10 grams

When v = 5 cm³

`\rho=(m)/(v)\\\Rightarrow \rho=(10)/(5)\\\Rightarrow \rho=2\ g/cm^3`

Density of third object is 2 g/cm³

Answer 2

Density ρ= 0.66
`(g)/(cm^(3) )`

Step-by-step explanation:

ρ
`= (m)/(v)`

`m= mass`,
`v= volume` ρ
`= density`

ρ
`*v= m`

`2 (g)/(cm^(3) ) * 5cm ^(3) = 10 g`

`1 (g)/(cm^(3) ) * 10cm ^(3) = 10 g`

ρ
`= (10g)/(15 cm^(3))= 0.66`

`0.66 (g)/(cm^(3) ) * 15cm ^(3) = 10 g`