How many square feet are in \[100\,{m^2}\]?
Answer
626.7k+ views
Hint: First of all, find which unit is small between square meters and square feet. These both are the units of length. There are 0.3048 meters in one foot, using this convert meter into feet by squaring them.
Complete Step by Step Solution:
In the question, we are given two units which are feet and meters. These both are the units of length which mean feet and meter both units are used to measure the distance or length of any object. The S.I unit of length is a meter which is denoted by m. In both of these units, the bigger unit is the meter. It is a bigger unit compared to feet. We can conclude this when we see the way of converting to each other. As there are 0.3048 meters in one foot which can be expressed in the mathematical form –
$1ft = 0.3048\,m$
According to the question, it is given that, we have to convert \[100\,{m^2}\] into square feet, so, to do this we have to convert the above formula into square feet and square meter.
Therefore, squaring the formula of convert feet into the meter, we get –
$
\Rightarrow 1ft = 0.3048\,m \\
\Rightarrow 1f{t^2} = {\left( {0.3048} \right)^2}{m^2} \\
\Rightarrow 1f{t^2} = 0.0929\,{m^2} \\
$
So, from the above, we can conclude that there are 0.929 square meters in one square foot.
Now, to convert \[100\,{m^2}\] to square feet, we have to do is –
$
\Rightarrow \dfrac{{1f{t^2}}}{{0.0929{\,m^2}}} \times 100\,{m^2} \\
\Rightarrow 1076\,f{t^2} \\
$
Hence, there are 1076 square feet in 100 square meters.
Note: We can also do it in another more simple way. We know that there are 3.28084 feet in one meter. So, there will be 10.7639 square feet in one square meter.
Complete Step by Step Solution:
In the question, we are given two units which are feet and meters. These both are the units of length which mean feet and meter both units are used to measure the distance or length of any object. The S.I unit of length is a meter which is denoted by m. In both of these units, the bigger unit is the meter. It is a bigger unit compared to feet. We can conclude this when we see the way of converting to each other. As there are 0.3048 meters in one foot which can be expressed in the mathematical form –
$1ft = 0.3048\,m$
According to the question, it is given that, we have to convert \[100\,{m^2}\] into square feet, so, to do this we have to convert the above formula into square feet and square meter.
Therefore, squaring the formula of convert feet into the meter, we get –
$
\Rightarrow 1ft = 0.3048\,m \\
\Rightarrow 1f{t^2} = {\left( {0.3048} \right)^2}{m^2} \\
\Rightarrow 1f{t^2} = 0.0929\,{m^2} \\
$
So, from the above, we can conclude that there are 0.929 square meters in one square foot.
Now, to convert \[100\,{m^2}\] to square feet, we have to do is –
$
\Rightarrow \dfrac{{1f{t^2}}}{{0.0929{\,m^2}}} \times 100\,{m^2} \\
\Rightarrow 1076\,f{t^2} \\
$
Hence, there are 1076 square feet in 100 square meters.
Note: We can also do it in another more simple way. We know that there are 3.28084 feet in one meter. So, there will be 10.7639 square feet in one square meter.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

The founder of Jainism was A Rishabhadev B Neminath class 7 social science CBSE

Collective noun a of sailors class 7 english CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

Write a short note on the great bath of MohenjoDar class 7 social science CBSE


