Answer
Verified
478.2k+ views
Hint: In this question we will use some important formulae for finding the volume of the wall. Here we have given some parameters, we will use them to find out the volume of the wall and the volume occupied by a single brick and then we will divide the volume of the wall by volume occupied by a single brick.
Complete Step-by-Step solution:
We know that , a wall and a brick both looks as a cuboid in shape,
Volume of a cuboid = length $ \times $ breadth $ \times $ height . …….(i)
First we will find out the volume of the wall, we have
Length of wall = 4 metre = 4 $ \times $ 100cm = 400 cm
Breadth of wall = 13cm.
Height of wall = 3 metre = 3 $ \times $ 100cm =300 cm, now put these values in equation (i)
$ \Rightarrow $ volume of the wall = 400cm $ \times $ 13cm $ \times $ 300cm .
$ \Rightarrow $ volume of the wall = 1560000 cm$^3$. ……….(ii)
Now we will find the volume of one brick, we have
$ \Rightarrow $ Volume of brick = 20cm $ \times $12cm $ \times $6.5cm
$ \Rightarrow $ volume of brick = 1560 cm$^3$. ………(iii)
Now, dividing equation (ii) by equation (iii), we get
$ \Rightarrow $ number of bricks = \[\dfrac{{volume{\text{ }}of{\text{ }}the{\text{ }}wall}}{{volume{\text{ }}of{\text{ }}one{\text{ }}brick}}\].
$ \Rightarrow $ number of bricks = \[\dfrac{{1560000c{m^3}}}{{1560c{m^3}}}\]= 1000.
Therefore , the number of bricks required is 1000.
Hence, the correct answer is option (B).
Note: In this type of question, first we have to know what is given in the question and what we have to find. Here we have to find out the number of bricks required to make a wall of given parameters. Here we have found out the volume of the wall and then the volume of one brick. Then by dividing the volume of the wall by the volume of one brick ,we will get the total number of bricks required to make the wall.
Complete Step-by-Step solution:
We know that , a wall and a brick both looks as a cuboid in shape,
Volume of a cuboid = length $ \times $ breadth $ \times $ height . …….(i)
First we will find out the volume of the wall, we have
Length of wall = 4 metre = 4 $ \times $ 100cm = 400 cm
Breadth of wall = 13cm.
Height of wall = 3 metre = 3 $ \times $ 100cm =300 cm, now put these values in equation (i)
$ \Rightarrow $ volume of the wall = 400cm $ \times $ 13cm $ \times $ 300cm .
$ \Rightarrow $ volume of the wall = 1560000 cm$^3$. ……….(ii)
Now we will find the volume of one brick, we have
$ \Rightarrow $ Volume of brick = 20cm $ \times $12cm $ \times $6.5cm
$ \Rightarrow $ volume of brick = 1560 cm$^3$. ………(iii)
Now, dividing equation (ii) by equation (iii), we get
$ \Rightarrow $ number of bricks = \[\dfrac{{volume{\text{ }}of{\text{ }}the{\text{ }}wall}}{{volume{\text{ }}of{\text{ }}one{\text{ }}brick}}\].
$ \Rightarrow $ number of bricks = \[\dfrac{{1560000c{m^3}}}{{1560c{m^3}}}\]= 1000.
Therefore , the number of bricks required is 1000.
Hence, the correct answer is option (B).
Note: In this type of question, first we have to know what is given in the question and what we have to find. Here we have to find out the number of bricks required to make a wall of given parameters. Here we have found out the volume of the wall and then the volume of one brick. Then by dividing the volume of the wall by the volume of one brick ,we will get the total number of bricks required to make the wall.
Recently Updated Pages
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Which one of the following places is not covered by class 10 social science CBSE
Trending doubts
Derive an expression for drift velocity of free electrons class 12 physics CBSE
Which are the Top 10 Largest Countries of the World?
Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
The energy of a charged conductor is given by the expression class 12 physics CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Derive an expression for electric field intensity due class 12 physics 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
Derive an expression for electric potential at point class 12 physics CBSE