MTH61204 Alice is tasked to design a container to store dry food such as peanuts. She needs to identify the design: Engineering Mathematics I Assignment 3, TU, Malaysia

University Taylor's University (TU)
Subject MTH61204 Engineering Mathematics I Assignment 3

Alice is tasked to design a container to store dry food such as peanuts. She needs to identify the design which can give the maximum volume to store dry food. She has shortlisted 2 designs: cylinder, and rectangular box as shown in Figure Q2. The requirement that needs to be fulfilled is the sum of its height and its circumference is 100 cm for the cylinder. Meanwhile, for a rectangular box, the sum of its height and its base perimeter is also 100 cm. Justify which design is the best and list down all methods/assumptions/values used.

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