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An object has a mass of 48 g and it has a height of 5 cm a width of 2 cm and a length of 5 cm. what is the density of the object?

User Yutasrobot
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1 Answer

4 votes

Answer:
0.96 g/cm^(3)

Step-by-step explanation:

Density
\rho is defined as the relation between the mass
m of an object and its volume
V:


\rho=(m)/(V) (1)

On the other hand, the volume of the object (assuming it has a rectangular shape) is:


V=(length)(height)(width) (2)

Where:


length=5 cm


height=5 cm


width=2 cm

Then:
V=(5 cm)(2 cm)(5 cm)=50cm^(3) (3)

Substituting (3) in (1) and taking into account
m=48 g:


\rho=(48g)/(50 cm^(3)) (4)


\rho=0.96g/cm^(3)} (5)

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