Problema Solution
A cube of wood measures 6 centimeters on a side and weighs 20 grams. What is the density of the cube of wood? Will the cube of wood float in water
Answer provided by our tutors
Density = Mass/Volume
The density is expressed in Kg/m^3
Mass = 20 gr
1 kg = 1000 gr
1 gr = 1/1000 kg
Mass = 20*(1/1000) kg
Mass = 1/500 kg
Volume = 6^3
Volume = 18 cm^3
1 m = 100 cm
1 m^3 = 100^3 cm^3
1 cm^3 = 1/10^6 m^3
1 cm^3 = 10^(-6) m^3
Volume = 18*10^(-6) m^3
Density = (1/500)/(18*10^(-6))
Density = 111.11 kg/m^3
The density of water is 1000 kg/m^3.
Since density of wood is less than density of water (111,11 < 1000) the cube of wood will float