Question

A mason has to make a wall of size 16 m by 12 m. How many bricks of size 20 cm by 8 cm are required to construct this wall?

Answer 1

Step-by-step explanation:

No of bricks that required to construct the wall= Area of big things/ Area of small things=1600×1200/20×8=2400bricks

Answer 2

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

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$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

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• Dimensions of wall is 16 m by 12 m

• Dimensions of bricks is 20 cm by 8 cm

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$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

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• Number of bricks required to construct the wall

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$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

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$\sf \boxed { 1 \: m = 100 \: cm }$

• $\bf \boxed { 16 \: m = 1600 \: cm }$
• $\bf \boxed { 12 \: m = 1200 \: cm }$

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As the wall need to be constructed from the bricks thus the total area of wall must be equal to to area of bricks required

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$\underline{ \underline{\bold{\texttt{Area of wall :}}}}$

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Wall is in the shape of rectangle thus its area will be -

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➠ Length × Breadth

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• Length = 1600 cm

• Breadth = 1200 cm

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⟮ Putting the values ⟯

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: ➜ Area = 1600 × 1200

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: ➜ Area = 1920000 sq. cm

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• Hence the area of wall is 1920000 sq. cm

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$\underline{ \underline{\bold{\texttt{Area of 1 brick :}}}}$

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Clearly the bricks are rectangular thus its area will be -

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➠ Length × Breadth

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• Length = 20 cm

• Breadth = 8 cm

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⟮ Putting the values ⟯

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: ➜ Area = 20 × 8

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: ➜ Area = 160 sq. cm

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• Hence the area of 1 brick is 160 sq. cm

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$\underline{ \underline{\bold{\texttt{Total bricks required :}}}}$

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➠ $\bf \dfrac { Area \: of \: wall } { Area \: of \: 1 \: brick }$

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• Area of wall = 1920000 sq. cm

• Area of 1 brick = 160 sq. cm

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⟮ Putting the values }

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: ➜ $\sf \dfrac { Area \: of \: wall } { Area \: of \: 1 \: brick }$

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: ➜ $\sf \dfrac { 1920000} { 160 }$

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: : ➨ 12000

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• Hence 12000 bricks are required to construct the wall