Math, asked by 9892422025, 1 month ago

Find the number of bricks each of dimensions 25 cm x 12.5 cm x 7.5 cm to make a wall of dimensions 5 m 3 m 20 m.
(1) 1200
(2) 1350
(2) 128000
(4) 1400​

Answers

Answered by XItzNobitaxX
14

{\large{\bf{\red{\clubs{\underline{Given :}}}}}}

The number of bricks each of dimensions 25 cm x 12.5 cm x 7.5 cm and wall of dimensions 5m x 3m x 20m.

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{\large{\bf{\blue{\clubs{\underline{To Find:}}}}}}

Find the no. of bricks required to make the wall.

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{\large{\bf{\orange{\clubs{\underline{Solution :}}}}}}

First,

{\sf{\purple{Length \:  of  \: wall = 25 cm  \times  12.5 cm  \times 7.5}}}

{\sf{\red{Length \:  of  \: brick  = 2343.75cm}}}

Next,

Converting dimension of wall into cm :

{\sf{\purple{5m = 500cm}}}

{\sf{\purple{3m = 300cm}}}

{\sf{\purple{20m = 2000cm}}}

Than,

{\sf{\purple{Dimension  \: of  \: wall = 500 \times  300  \times  2000}}}

{\sf{\red{= 30,00,00,000cm \:  or  \: 30,00,000m}}}

Than,

{\sf{\purple{No.  \: of \:  bricks  \: required =  {\cancel\frac{300000000}{2343.75} }}}}

{\blue{\underbrace{\red{\boxed{\bf{= 1,28,000}}}}}}

So,

1,28,000 bricks will be required for making the wall.

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{\sf{\pink{\blue{\fcolorbox{green}{red}{\underline{XitzNobitaxX}}}}}}

Answered by AestheticSoul
9

Required Answer :

The number of bricks required to make the wall = 128,000

Given :

Dimensions of bricks :

  • Length of the bricks = 25 cm
  • Breadth of the bricks = 12.5 cm
  • Height of the bricks = 7.5 cm

Dimensions of wall :

  • Length of the wall = 5 m
  • Breadth of the wall = 3 m
  • Height of the wall = 20 m

To find :

  • Number of bricks required to make a wall

Solution :

Using formula,

  • Volume of bricks = l × b × h

where,

  • l denotes the length
  • b denotes the breadth

Substituting the given values :

⇒ Volume of bricks = 25 × 12.5 × 7.5

⇒ Volume of bricks = 2,343.75

Volume of bricks = 2,343.75 cm³

Using formula,

  • Volume of wall = l × b × h

Substituting the given values :

⇒ Volume of wall = 5 × 3 × 20

⇒ Volume of wall = 300

Volume of wall = 300 m³

As we know,

  • 1 m = 100 cm

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

⇒ Volume of wall = 300 × (100)³

⇒ Volume of wall = 300 × 1000000

⇒ Volume of wall = 300000000

Volume of wall = 3 × 10⁸ cm³

Number of bricks required to make the wall = Volume of wall ÷ Volume of bricks

⇒ Number of bricks = 3 × 10⁸ ÷ 2,343.75

⇒ Number of bricks = 300000000 ÷ 2,343.75

⇒ Number of bricks = 128,000

Therefore, the number of bricks required to make the wall = 128,000

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