Question #43913

A room is 12 m by 10 m. Find the cost of covering its floor with bricks 20 cm by 6 cm, if the cost of one thousand bricks is Rs 300.

Expert's answer

Answer on Question #43913 – Math – Geometry

Question:

A room is 12m12\,m by 10m10\,m. Find the cost of covering its floor with bricks 20cm20\,cm by 6cm6\,cm, if the cost of one thousand bricks is Rs 300.

Solution:

The cost of one thousand bricks is Rs 300, hence one brick costs 3001000=0.3\frac{300}{1000} = 0.3 (Rs).

By formula of area of rectangle, the area of 1 brick is 0.2m×0.06m=0.012m20.2\,m \times 0.06\,m = 0.012\,m^2. The area of the room is 12m×10m=120m212\,m \times 10\,m = 120\,m^2. So, to cover the room’s floor, we need 1200.012=10000\frac{120}{0.012} = 10000 bricks. Finally, 10000 bricks cost 0.3×10000=30000.3 \times 10000 = 3000 (Rs).

Answer: Rs 3000.

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