Pepsi puts 355 ml of pop in a can. How many cubic meters in this?
Answer
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Hint: Here this question belongs to the conversion topic that is we have to convert the unit from one form to another. Here we have to convert the unit millilitre to the unit cubic meter. In the question they have already given the quantity which we have to find for 355 ml in cubic meters so we use arithmetic operation and find the solution.
Complete step by step solution:
A millilitre is a metric unit of volume and it is Used for small amounts of liquid. It is abbreviated as ml. one can of pop is a tiny fraction of a cubic meter. Here we have to convert the unit from the millilitre cubic metre.
As we know that \[1kl = 1000l\] and \[1\,litre = 1000\,ml\] , therefore we have \[1kl = 1\,{m^3}\] and \[1\,litre = 1d{m^3}\] .
So we have \[1\,ml = 1c{m^3}\]
To convert 355ml into a cubic meter we have
\[355\,ml = 355c{m^3}\]
Now we have to convert the \[c{m^3}\] into \[{m^3}\] , to convert his we have to divide the 355 by \[{10^6}\]
so we have
\[ \Rightarrow \dfrac{{355}}{{{{10}^6}}}{m^3}\]
The term which is in the denominator, let we take to numerator we have
\[ \Rightarrow 355 \times {10^{ - 6}}{m^3}\]
so we have
\[ \Rightarrow 3.55 \times {10^2} \times {10^{ - 6}}{m^3}\]
On simplifying we get
\[ \Rightarrow 3.55 \times {10^{ - 4}}{m^3}\]
Therefore \[355\,ml\, = \,3.55 \times {10^{ - 4}}{m^3}\]
Hence, we have converted the millilitre into cubic meters
So, the correct answer is “ \[355\,ml\, = \,3.55 \times {10^{ - 4}}{m^3}\] ”.
Note: We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.
Complete step by step solution:
A millilitre is a metric unit of volume and it is Used for small amounts of liquid. It is abbreviated as ml. one can of pop is a tiny fraction of a cubic meter. Here we have to convert the unit from the millilitre cubic metre.
As we know that \[1kl = 1000l\] and \[1\,litre = 1000\,ml\] , therefore we have \[1kl = 1\,{m^3}\] and \[1\,litre = 1d{m^3}\] .
So we have \[1\,ml = 1c{m^3}\]
To convert 355ml into a cubic meter we have
\[355\,ml = 355c{m^3}\]
Now we have to convert the \[c{m^3}\] into \[{m^3}\] , to convert his we have to divide the 355 by \[{10^6}\]
so we have
\[ \Rightarrow \dfrac{{355}}{{{{10}^6}}}{m^3}\]
The term which is in the denominator, let we take to numerator we have
\[ \Rightarrow 355 \times {10^{ - 6}}{m^3}\]
so we have
\[ \Rightarrow 3.55 \times {10^2} \times {10^{ - 6}}{m^3}\]
On simplifying we get
\[ \Rightarrow 3.55 \times {10^{ - 4}}{m^3}\]
Therefore \[355\,ml\, = \,3.55 \times {10^{ - 4}}{m^3}\]
Hence, we have converted the millilitre into cubic meters
So, the correct answer is “ \[355\,ml\, = \,3.55 \times {10^{ - 4}}{m^3}\] ”.
Note: We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.
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