Appropriate QUESTION :-

A mason is constructing four walls of length 13 m, width 1.2 m and height 10 m by using bricks of

dimensions 24 cm x 13 cm x 5 cm each. How many bricks are needed?

Given :

• Length of four walls = 13 m
• BREADTH of four walls = 1.2 m
• Height of four walls = 10 m
• Length of bricks = 24 cm
• Breadth of bricks = 13 cm
• Height of bricks = 5 cm

To find :

• Number of Bricks needed to build the wall

Concept Used :-

→ Formula of volume of cuboid :-

• Volume = L × b × h

where,

• l = length of cuboid
• b = breadth of cuboid
• h = height of cuboid

UNIT conversion :-

• 1 m = 100 cm

To convert the value from m into cm multiply it by 100.

~Understanding the question ::

To find the number of bricks required to build the wall, FIRSTLY we will find the volume of the wall and the bricks. Then divide the volume of wall by the volume of bricks to get the number of bricks required to build the wall.

Solution :

Volume of wall :-

⠀⠀⠀⇒ Volume = l × b × h

⠀⠀⠀⇒ Volume = 13 × 1.2 × 10

⠀⠀⠀⇒ Volume = 156

Volume of the walls = 156 m³

• 1 m³ = (100)³ cm³

Volume = 156 m³ = 156 × (100)³

= 156000000 cm³

Volume of the walls = 156000000 cm³

Volume of bricks :-

⠀⠀⠀⇒ Volume = l × b × h

⠀⠀⠀⇒ Volume = 24 × 13 × 5

⠀⠀⠀⇒ Volume = 1560

Volume of bricks = 1560 cm³

Number of bricks = Volume of walls ÷ Volume of bricks

⠀⠀⠀⇒ 156000000 ÷ 1560

⠀⠀⠀⇒ 100,000

Number of bricks required to build the wall = 100,000