2024 IGCSE Additional Mathematics October/November 0606/22 Q12

2024 IGCSE Additional Mathematics October/November 0606/22 Q12

6 marks

A metal tank is in the shape of a cuboid with a square base of side \(x\text{ m}\) and an open top. The tank has a volume of \(5\text{ m}^3\). Given that \(x\) can vary, and that the area of the metal used to make the tank is a minimum, find the dimensions of the tank.[6]

Solution:

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Answer:Base \(2.15\text{ m}\times2.15\text{ m}\); height \(1.08\text{ m}\).

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