Question

7
Mass of the
Mass of the object is 316 gram, placed in
a container as shown in figure What is
the density of the object ?
-​

Answer 1

Answer:

7900 kg/m3

Explanation:

Known :Density – problems and solutions 4

Mass (m) = 316 gram

Volume (V) = volume of spilled water = 40 ml

Wanted : density

Solution :

Mass = 316 gram = 316/1000 kg = 0.316 kg

Volume = 40 ml = 40/1000 liters = 4/100 liters = 0.04 liters

1 liter = 1 dm3 = 1/1000 m3 = 0.001 m3

0.04 liters = (0.04)(0.001) m3 = 0.00004 m3

Density :

ρ = m / V = 0.316 kg / 0.00004 m3 = 316 kg / 0.04 m3 = 7900 kg/m3

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Answer 2

The density of the object is 7900 kg/m^3

Given,

The mass of the object (m) = 316 gram

The volume of spilled water = 40 ml    

To find,

The density of the object

Solution,

Mass (m) = 316 gram

Let us convert the unit gram to kilogram,

m = 316/1000 kg

m = 0.316 kg

Volume (v) = 40 ml

Convert the unit milliliter to liter

v = 40/1000 liters

v = 4/100 liters

v = 0.04 liters

As we know that, 1 liter = 1 dm3 = 1/1000 m3 = 0.001 m3

v = 0.04 liters = (0.04)(0.001) m3

v = 0.00004 m3

The formula to find the Density of an object is  ρ = m / V  

ρ = 0.316 kg / 0.00004 m3

ρ = 316 kg / 0.04 m3

ρ = 7900 kg/m3

Therefore, The density of the object is 7900 kg/m^3

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