Answer
Verified
384.9k+ views
Hint – In this question first find out, total surface area of the closed iron tank which is given as $S.A = 2\left( {lb + bh + hl} \right)$ where symbols have their usual meaning, later on divide this area to the width of the sheet to get the required length of the sheet, so use this concept to reach the solution of the question.
Given data
Length (l) of iron tank = 12m
Breath (b) of iron tank = 9m
Height (h) of iron tank = 4m
So, it is given that the iron tank is closed (see figure) therefore it has total six walls (see figure), and so the total surface area (S.A) of these walls is given as
$S.A = 2\left( {lb + bh + hl} \right)$
So, substitute the given values in above equation we have,
$
\Rightarrow S.A = 2\left( {12 \times 9 + 9 \times 4 + 4 \times 12} \right) \\
\Rightarrow S.A = 2\left( {108 + 36 + 48} \right) = 2\left( {192} \right) = 384{m^2} \\
$
Now it is given that the sheet is 2 m wide.
So, length of the sheet required to make a closed iron tank $ = \dfrac{{384{\text{ }}{{\text{m}}^2}}}{{2{\text{ m}}}} = 192{\text{ m}}$
Now it is also given that the cost of iron sheet is Rs. 5 per meter sheet.
So, the total cost of iron sheet to make a closed iron tank $ = 192 \times 5 = 960{\text{ Rs}}{\text{.}}$
So, this is the required answer.
Note – in such types of questions the key concept we have to remember is that always recall the formula of total surface area which is stated above, then use this formula to calculate the surface area of the iron tank, then calculate the length of sheet required to make a closed iron tank by dividing the width of sheet to the surface area of the iron tank, then multiply this value to the cost of per sheet which is given, we will get the required cost of iron sheet to make a closed iron tank.
Given data
Length (l) of iron tank = 12m
Breath (b) of iron tank = 9m
Height (h) of iron tank = 4m
So, it is given that the iron tank is closed (see figure) therefore it has total six walls (see figure), and so the total surface area (S.A) of these walls is given as
$S.A = 2\left( {lb + bh + hl} \right)$
So, substitute the given values in above equation we have,
$
\Rightarrow S.A = 2\left( {12 \times 9 + 9 \times 4 + 4 \times 12} \right) \\
\Rightarrow S.A = 2\left( {108 + 36 + 48} \right) = 2\left( {192} \right) = 384{m^2} \\
$
Now it is given that the sheet is 2 m wide.
So, length of the sheet required to make a closed iron tank $ = \dfrac{{384{\text{ }}{{\text{m}}^2}}}{{2{\text{ m}}}} = 192{\text{ m}}$
Now it is also given that the cost of iron sheet is Rs. 5 per meter sheet.
So, the total cost of iron sheet to make a closed iron tank $ = 192 \times 5 = 960{\text{ Rs}}{\text{.}}$
So, this is the required answer.
Note – in such types of questions the key concept we have to remember is that always recall the formula of total surface area which is stated above, then use this formula to calculate the surface area of the iron tank, then calculate the length of sheet required to make a closed iron tank by dividing the width of sheet to the surface area of the iron tank, then multiply this value to the cost of per sheet which is given, we will get the required cost of iron sheet to make a closed iron tank.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
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
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE