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If each brick has dimensions $25 c m × 11.25 c m × 6 c m,$ how many bricks will be needed to build a wall that is 8 m long, 6 m high, and 22.5 cm thick?

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4800

5600

6400

5200

answer is C.

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Detailed Solution

Given that the wall's dimensions are 8 m in length, 22.5 cm in width, and 6 m in height.

∴ l = 8 m, b = 22.5 cm = 0.225 m, and h = 6 m .

Therefore, the volume of the wall can be calculated as:

V = l × b × h = 8 × 6 × 0.225 m 3 = 10.8 m 3

The dimension of each brick is

25 c m × 11.25 c m × 6 c m .

∴ L = 0.25 m , B = 0.1125 m, and H = 0.06 m .

Therefore, the volume of one brick can be calculated as:

V = L × B × H = 0.25 × 0.1125 × 0.06 m 3 = 0.0016875 m 3

Now, the number of bricks can be calculated as,

N = volume of the wall volume of one brick = 10.8 m 3 0.0016875 m 3 = 6400

Therefore, 6400 bricks will be needed to build a wall.
Hence, option (3) is correct.

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