Answer

Verified

419.1k+ views

**Hint**The SI units of density is $ kg/{m^3} $ . 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 $ 1\,gm/c{m^3} $ . Now, we know that the units of density in the SI unit system is given as $ kg/{m^3} $ . So, let's convert each individual quantity to their respective SI units.

We know that mass of $ 1\,kg = 1000\,g $ . So, we can write

$\Rightarrow 1g = 0.001\,kg $

Now, for the quantity of length, we have

$\Rightarrow 1\,m = 100\,cm $ . So we can write

$\Rightarrow 1\,cm\, = \,0.01\,m $

Now as density is given as $ 1\,gm/c{m^3} $ , we can calculate the density of water in the I unit system which uses the unit’s kilograms and meters as

$\Rightarrow {\text{Density = 1g/c}}{{\text{m}}^3}{\text{ = }}\dfrac{{0.001}}{{{{(0.01)}^3}}}kg/{m^3} $

$\Rightarrow {\text{Density = }}1000\,kg/{m^3} $

Hence the value of density of water in SI units is $ 1000\,kg/{m^3} $ .

**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.

Recently Updated Pages

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Advantages and disadvantages of science

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

What organs are located on the left side of your body class 11 biology CBSE