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Mathematics

How many bricks will be required for constructing a wall which is 16 m long, 3 m high and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm ?

Surface Area, Volume, Capacity

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Answer

Given:

Length of the wall = 16 m

Breadth of the wall = 3 m

Height of the wall = 22.5 cm = 0.225 m

The volume of wall = length x breadth x height

= 16 x 3 x 0.225 m3

= 10.8 m3

Length of brick = 25 cm = 0.25 m.

Breadth of brick = 11.25 cm = 0.1125 m.

Height of brick = 6 cm = 0.06 m.

The volume of one brick = length x breadth x height

= 0.25 x 0.1125 x 0.06 m3

= 0.0016875 m3

Let a be the number of bricks.

Number of bricks = Volume of wallVolume of one brick\dfrac{\text{Volume of wall}}{\text{Volume of one brick}}

⇒ a = 10.80.0016875\dfrac{10.8}{0.0016875}

⇒ a = 108,000,00016,875\dfrac{108,000,000}{16,875}

⇒ a = 6,400

Hence, 6,400 bricks are required to construct the wall.

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