Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

The density of water is 1gm/cm3 . What is its value in SI units?

Answer
VerifiedVerified
480.3k+ views
1 likes
like imagedislike image
Hint The SI units of density is kg/m3 . We need to convert the units of grams to kilograms and centimeters to meters and then we can calculate the value of density in SI units.

Complete step by step answer
We’ve been given the density of water as 1gm/cm3 . Now, we know that the units of density in the SI unit system is given as kg/m3 . So, let's convert each individual quantity to their respective SI units.
We know that mass of 1kg=1000g . So, we can write
 1g=0.001kg
Now, for the quantity of length, we have
 1m=100cm . So we can write
 1cm=0.01m
Now as density is given as 1gm/cm3 , we can calculate the density of water in the I unit system which uses the unit’s kilograms and meters as
 Density = 1g/cm3 = 0.001(0.01)3kg/m3
 Density = 1000kg/m3
Hence the value of density of water in SI units is 1000kg/m3 .

Additional Information
The SI unit system is the standard unit of measurement consisting of 7 quantities which is a set of quantities from which any other quantity can be derived and used internationally as a common unit system. The units and their physical quantities in the SI unit system are the second for time, the meter for measurement of length, the kilogram for mass, the ampere for electric current, the Kelvin for temperature, the mole for amount of substance, and the candela for luminous intensity.

Note
The density can be measured in any unit system provided we know the conversion of the base units in the new system which is the SI unit system in this case. The actual density of water varies depending on the amount of different chemicals in the water actually as well on the temperature of the water.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
Select and buy