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Faculty of Science and Mathematics plans to build a water tank at the FSMpineapples farm...

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Geometry

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Faculty of Science and Mathematics plans to build a water tank at the FSMpineapples farm to store water for the purpose of the farm. The water tank willbe built in the form of a regular hexagonal prism. Suppose that each base edgemeasures 1.3 m and the apothem of the base measures 1.1 m with the altitudeof 2.25 m.a. Prove formally that the total area of the water tank that needs to be paintedis 21.84 m (assuming that the lower base needs not to be painted).[16 marks]b. Suppose that volume of 1 m can be filled with 1,000L of water. How muchwater can fill the water tank in (a)? (Justify for all the works)

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