Question

Bricks are worth Rs. $750$ per $1000$ and each brick has length, breadth and height as $25cm$, $12.5cm$ and $7.5cm$ respectively. Find the cost of bricks required to build a wall $200m$ long, $1.8m$ high and $37.5cm$ thickness.

• A. Rs. $42600$
• B. Rs. $43200$
• C. Rs. $40750$
• D. Rs. $41860$

Answer 1

Answer: (B)

Rs. $43200$

Given dimension of the brick : length = 25 cm , breadth= 12.5 cm and height = 7.5 cm

Hence the volume of 1 brick = length $\times$ breadth $\times$ height .

$\Rightarrow$ Volume of the brick = $25\times 12.5\times 7.5=2343.75c{m}^3$

Given dimension of the wall : length = 200 m , breadth= 37. 5 cm and height = 1.8 m

$\Rightarrow$ Volume of the whole wall =$(200\times 100)\times (1.8\times 100)\times 37.5=135,000,000c{m}^3$

$\Rightarrow$ No of bricks required = volume of the whole wall$÷$volume of a brick.

$\Rightarrow \frac{135,000,000}{2343.75}$

$\Rightarrow =57600$ bricks

Now given the cost of 1000 bricks is Rs 750 .

So cost of 57600 bricks will be :

$\Rightarrow \frac{57600\times 750}{1000}$

$\to$ Rs $43,200$

The cost required to build the wall is Rs $43,200$