Question

how many bricks each of 25cm long 10 cm wide and 7.5 cm thick will be required for a wall. 20m long, 2m high and 0.75 m thick?. if bricks are sold at rs. 900 per thousand, what will it cost to build the wall?

Answer 1

Let see ,

Volume of the bricks =22cm ×10cm×7cm

Now that's =1540cm^3

Volume of the wall =11m×3.5m×40cm

Now that is =1100cm×350cm×40cm

=15400000

Thereby,

Volume of the bricks /volume of the wall = no.of bricks

That is 15400000/1540=10000

Its given that 1/10 th of the wall is covered by cement so 1/10th of 10000 =1000 must be subtracted

So, 10000-1000=9000

Therefore, no of bricks =9000

Answer 2

Answer:

✬ Question 1 ✬

✴ Given :

Dimensions of brick are length 25 cm, Breadth 10 cm and width 7.5 cm. Dimensions of wall is 20 m, 2 m, 0.75 m.

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✴ To Find :

What is the total no. of bricks required and what is its cost.

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✴ Solution :

Formula Used :

$\large{\orange{\bigstar}}\: \: \:{\underline{\boxed{\red{\sf{ Volume{\small_{(Cuboid) }}= Length \times Width \times Height}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

Volume of brick :

${\implies{\qquad{\sf{ Volume{\small_{(Brick) }}= L \times W \times H}}}}$

${\implies{\qquad{\sf{ Volume{\small_{(Brick) }}= 25 \times 10 \times 7.5}}}}$

${\implies{\qquad{\sf{ Volume{\small_{(Brick) }}= 250 \times 7.5}}}}$

$\qquad{\large{\blue{\longrightarrow{\underline{\pink{\sf{ 1875 \: cm³}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

Volume of Wall :

${\implies{\qquad{\sf{ Volume{\small_{(Wall) }}= L \times W \times H}}}}$

${\implies{\qquad{\sf{ Volume{\small_{(Wall) }}= 2000 \times 200 \times 75}}}}$

${\implies{\qquad{\sf{ Volume{\small_{(Wall) }}= 400000 \times 75}}}}$

$\qquad{\large{\blue{\longrightarrow{\underline{\pink{\sf{ 30000000\: cm³}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

No. of bricks required :

${\implies{\qquad{\sf{ No. {\small_{(Bricks) }}= \dfrac{ Vol. \:of \:wall }{Vol. \: of\: bricks }}}}}$

${\implies{\qquad{\sf{ No. {\small_{(Bricks) }}= \dfrac{ 30000000 }{1875}}}}}$

${\implies{\qquad{\sf{ No. {\small_{(Bricks) }}= \cancel\dfrac{ 30000000 }{1875}}}}}$

$\qquad{\large{\blue{\longrightarrow{\underline{\pink{\sf{ 16000 \: bricks}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

Cost of Bricks :

${:\longmapsto{\qquad{\sf{ Cost{\small_{(Bricks) }}= \dfrac{No. \:of \:bricks }{1000} \times 900}}}}$

${:\longmapsto{\qquad{\sf{ Cost{\small_{(Bricks) }}= \dfrac{16\cancel{000} }{\cancel{1000}} \times 900}}}}$

${:\longmapsto{\qquad{\sf{ Cost{\small_{(Bricks) }}= 16 \times 900}}}}$

$\qquad\large{\red{:\longmapsto{\underline{\boxed{\green{\sf{ ₹ \:14400 }}}}}}}{\pink{\bigstar}}$

${\green{\underline{▬▬▬▬▬}}{\pink{\underline{▬▬▬▬▬}}{\orange{\underline{▬▬▬▬▬}}{\purple{\underline{▬▬▬▬▬▬}}}}}}$