Question

A Wall of length 10m was to be built across an open ground.The height of the wall is 4m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm.How many bricks would be required?

3 points

3478

4167

2987

2109


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Answer 1

Answer:

The number of bricks required to construct the wall is 4167 ( Approx. ).

Step-by-step-explanation:

We have given the dimensions of a wall and the bricks.

For wall,

Length ( L ) = 10 m = 10 * 100 cm = 1000 cm

Thickness ( B ) = 24 cm

Height ( H ) = 4 m = 4 * 100 cm = 400 cm

For brick,

Length ( l ) = 24 cm

Breadth ( b ) = 12 cm

Height ( h ) = 8 cm

We know that,

A wall and a brick are cuboid in shape.

We have to find the number of bricks required to construct the wall.

Number of bricks can be calculated by dividing the volume of wall by volume of brick.

We know that,

Volume of cuboid = Length × Breadth × Height

Now,

No. of bricks = Volume of wall / Volume of brick

⇒ No. of bricks = L × B × H / l × b × h

⇒ No. of bricks = ( 1000 × 24 × 400 ) / ( 24 × 12 × 8 )

⇒ No. of bricks = 1000 ÷ 8 × 24 ÷ 24 × 400 ÷ 12

⇒ No. of bricks = 125 × 1 × 400 ÷ 12

⇒ No. of bricks = 125 × 100 ÷ 3

⇒ No. of bricks = 12500 ÷ 3

⇒ No. of bricks = 4166.666

∴ No. of bricks ≈ 4167

∴ The number of bricks required to construct the wall is 4167 ( Approx. ).

Answer 2

Answer:

◗ Wall Dimension :

• Length ( L ) = 10 m = 1000 cm
• Breadth ( B ) = 24 cm
• Height ( H ) = 4 m = 400 cm

⠀

◗ Bricks Dimension :

• Length ( l ) = 24 cm
• Breadth ( b ) = 12 cm
• Height ( h ) = 8 cm

• Number of Bricks Required ?

⠀

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Vol. \:of \:Bricks \times Number = Vol. \:of \:Wall\\\\\\:\implies\sf l \times b \times h \times Number = L \times B \times H\\\\\\:\implies\sf 24 \times 12 \times 8 \times Number = 1000 \times 24 \times 400\\\\\\:\implies\sf Number = \dfrac{1000\times24 \times 400}{24 \times 12 \times 8}\\\\\\:\implies\sf Number = \dfrac{1000 \times 50}{12 }\\\\\\:\implies\sf Number = 4166.67\\\\\\:\implies\underline{\boxed{\sf Number \approx4167}}$

⠀

$\therefore\:\underline{\textsf{B) \textbf{4167 Bricks} would be required for wall}}.$