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A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles?
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A man has built a cubical water tank for his house. The water tank is ...
Dimensions of the Water Tank
The inner dimensions of the cubical water tank are given as:
- Each side = 2 m = 200 cm (since 1 m = 100 cm)
Area of the Inner Surface
The area of the inner surface of the tank to be tiled is the ceiling area (since the tank has a lid):
- Area of one face of the cube = side × side
- Area = 200 cm × 200 cm = 40,000 cm²
Area Covered by One Tile
The area covered by one tile is calculated as follows:
- Area of one tile = side × side
- Area = 25 cm × 25 cm = 625 cm²
Number of Tiles Needed
To find the number of tiles required to cover the ceiling:
- Number of tiles = Total area of the ceiling / Area of one tile
- Number of tiles = 40,000 cm² / 625 cm² = 64 tiles
Cost Calculation
The cost of tiles is given as ₹360 per dozen (12 tiles).
- Number of dozens needed = 64 tiles / 12 = 5.33 dozens
- Therefore, we require 6 dozens (since we can’t purchase a fraction of a dozen).
Total cost for 6 dozens:
- Cost = 6 dozens × ₹360 = ₹2160
Final Cost of Installing the Tiles
The total cost for installing the tiles in the water tank is:
- Total Cost = ₹2160
Thus, the cost of installing the tiles is ₹2160.
The inner dimensions of the cubical water tank are given as:
- Each side = 2 m = 200 cm (since 1 m = 100 cm)
Area of the Inner Surface
The area of the inner surface of the tank to be tiled is the ceiling area (since the tank has a lid):
- Area of one face of the cube = side × side
- Area = 200 cm × 200 cm = 40,000 cm²
Area Covered by One Tile
The area covered by one tile is calculated as follows:
- Area of one tile = side × side
- Area = 25 cm × 25 cm = 625 cm²
Number of Tiles Needed
To find the number of tiles required to cover the ceiling:
- Number of tiles = Total area of the ceiling / Area of one tile
- Number of tiles = 40,000 cm² / 625 cm² = 64 tiles
Cost Calculation
The cost of tiles is given as ₹360 per dozen (12 tiles).
- Number of dozens needed = 64 tiles / 12 = 5.33 dozens
- Therefore, we require 6 dozens (since we can’t purchase a fraction of a dozen).
Total cost for 6 dozens:
- Cost = 6 dozens × ₹360 = ₹2160
Final Cost of Installing the Tiles
The total cost for installing the tiles in the water tank is:
- Total Cost = ₹2160
Thus, the cost of installing the tiles is ₹2160.
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A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles?
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A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles?.
A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man has built a cubical water tank for his house. The water tank is covered with a lid from above. He wants to install a square tile of side 25cm with the cover on the inner surface of the tank. If each inner side of the water tank is 2m long and the cost of the tiles is ₹360 per dozen, then find the cost of of installing the tiles?.
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