Question

*How many bricks of 30 cm long, 15 cm thick and 10 cm wide bricks will be enough to build a wall 24 m long, 50 cm wide and 3 m high?*

1️⃣ 8000
2️⃣ 1600
3️⃣ 1200
4️⃣ 4000​

Answer 1

Given :-

Bricks of length 30 cm , width 10 cm and thickness 15 cm are joined to make a wall of length 24 m , width 50 cm and height 3m .

To Find :-

The number of bricks to make the wall of the given dimensions .

Used Concepts :-

• If any shape/shapes are combined/Melted to form a new shape . So , the volume of the combined shape/shapes is equal to the volume of the resulting shape/shapes.
• Volume of Cuboid i.e L×B×H , where ( L ) is Length , ( B ) is breadth/width , ( H ) is thickness/ height .
• 1 m = 100 cm

Solution :-

Let , Length of the brick ( l ) = 30 cm

Thickness of the brick ( h ) = 15 cm

Width of the brick ( b ) = 10 cm

Length of the wall ( L ) = 24 m = 24×100 = 2400 cm

Width of the wall ( B ) = 50 cm

Height of the wall ( H ) = 3 m = 3×100 = 300 cm.

Number of Bricks required to form a wall of the given dimensions = n .

Now , Volume of n - bricks = Volume of Wall

n × l × b × h = L × B × H

n × 30 × 15 × 10 = 2400 × 50 × 300

n = 2400 × 50 × 300/30 × 15 × 10

n = 800 × 10

n = 8000 walls .

Therefore , The correct Answer is

1️⃣ 8000