Question

A brick measures 18 cm in length, 10 cm in breadth and 3 cm in height. How many bricks will be used to make a wall of length 18 m, breadth 5 m and height 6 metres? ​

Answer 1

Answer:

Given :-

• A brick measures 18 cm in length, 10 cm in breadth and 3 cm in height.
• A wall measure of length 18 m, breadth 5 m and height 6 m.

To Find :-

• How many bricks will be used to make a wall.

Formula Used :-

$\clubsuit$ Volume Of Cuboid Formula :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Cuboid)} =\: Length \times Breadth \times Height}}}\: \: \: \bigstar$

Solution :-

First, we have to find the volume of each bricks :

Given :

• Length = 18 cm
• Breadth = 10 cm
• Height = 3 cm

According to the question by using the formula we get,

$\footnotesize \implies \bf Volume_{(Each\: Brick)} =\: Length \times Breadth \times Height$

$\implies \sf Volume_{(Each\: Brick)} =\: 18 \times 10 \times 3$

$\implies \sf\bold{\purple{Volume_{(Each\: Brick)} =\: 540\: cm^3}}$

Now, we have to find the volume of wall :

Given :

• Length = 18 m = 1800 cm
• Breadth = 5 m = 500 cm
• Height = 6 m = 600 cm

According to the question by using the formula we get,

$\footnotesize \implies \bf Volume_{(Wall)} =\: Length \times Breadth \times Height$

$\implies \sf Volume_{(Wall)} =\: 1800 \times 500 \times 600$

$\implies \sf\bold{\purple{Volume_{(Wall)} =\: 540000000\: cm^3}}$

Now, we have to find how many bricks will be used to make a wall :

As we know that :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{Number\: Of\: Bricks =\: \dfrac{Volume_{(Wall)}}{Volume_{(Each\: Brick)}}}}}\: \: \: \bigstar$

Given :

• Volume of wall = 540000000 cm³
• Volume of bricks = 540 cm³

According to the question by using the formula we get,

$\dashrightarrow \sf Number\: Of\: Bricks =\: \dfrac{\cancel{540000000}}{\cancel{540}}$

$\dashrightarrow \sf\bold{\red{Number\: Of\: Bricks =\: 1000000}}$

$\therefore$ The number of bricks will be used to make a wall is 1000000 bricks .