Question

A wall is 8m long 4m high 22.5cm thick. How many bricks of lenght 25cm breadth 12.5 cm and 8cm High are needed to build the wall

Answer 1

$\huge\mathbb{\underline{\underline{\blue{SOLUTION:-}}}}$

$\bold{Given}\begin{cases}\sf{A\:wall}\\ \sf{length=8m}\\ \sf{breadth=4m}\\ \sf{Height=22.5cm}\end{cases}$

Now find the Volume of Wall

Convert the length and breadth in cm

Length =8×100=800cm

Breadth=4×100=400cm

Height =22.5cm

$\sf \underline{\red{Volume=Length\times breadth\times height}}$

$\sf\implies Volume\:of\:wall=L\times B\times H\\ \\ \sf\implies Volume =800\times 400\times 22.5\\ \\ \sf\implies Volume=72,00,000cm{}^{3}$

$\sf\underline{\blue{Volume\:of\:wall=7200000cm{}^{3}}}$

$\tt Find \:the\:Volume\:of\:brick$

$\bold{Given}\begin{cases}\sf{A\:wall}\\ \sf{length=25cm}\\ \sf{breadth=12.5cm}\\ \sf{Height=8cm}\end{cases}$

$\sf\underline{\purple{Volume=Length\times Breadth\times height}}$

$\sf Volume\:of\:Brick=L\times B\times H\\ \\ \sf\implies Volume=25\times 12.5\times 8\\ \\ \sf\implies Volume=2500cm{}^{3}$

$\sf\underline{\purple{Volume\:of\:Brick=2500cm{}^{3}}}$

$\sf Brick \:needed =\frac{Volume\:of\:wall}{volume\:of\:Brick}\\ \\ \sf\implies Brick\:needed=\cancel{\frac{7200000}{2500}}\\ \\ \sf\implies brick\:needed=2880$

The number of brick needed to brick to buil wall =2880

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