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Question

Question: What is the density of a block of marble that occupies \[310c{{m}^{3}}\] and has a mass of \[853\tex...

What is the density of a block of marble that occupies 310cm3310c{{m}^{3}} and has a mass of 853 g853\text{ }g ?

Explanation

Solution

Use the given information in question and put it in the formula of density which is:
density(ρ)=mass of given substance(m)volume of given substance(V)density(\rho )=\dfrac{mass\text{ of given substance(m)}}{volume\text{ of given substance(V)}}

Complete answer:
Now it is given in question that the mass of marble block is 853 g853\text{ }g that means the value of m = 853 g853\text{ }g and the volume occupied by the marble block is given which is 310cm3310c{{m}^{3}} that means the value of V = 310cm3310c{{m}^{3}} , now putting the value of m and V in the formula of density which is
density(ρ)=mass of given substance(m)volume of given substance(V)density(\rho )=\dfrac{mass\text{ of given substance(m)}}{volume\text{ of given substance(V)}}
Putting the values we will get our answer:
ρ=853310g cm3\rho =\dfrac{853}{310}g\text{ c}{{\text{m}}^{-3}}
ρ=2.751g cm3\rho =2.751g\text{ c}{{\text{m}}^{-3}}
Hence, it is our answer.

Note:
The unit of density depends on the fact that in which unit the mass and the volume is given so keep the unit of mass and volume in check.