geometry

A company packages it's cereal in a rectangular prism that is 2.5 inches by 7 inches by 12 inches. It is considering packaging it in a cylinder- shaped container having a 6 inch diameter and a height of 7.5 inches. Which used the least amount of packaging? Prove your answer.

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  1. surface area of box
    = 2(2.5)(7) + 2(2.5)(12) + 2(7)(12)
    = 263 inches^2

    surface area of cylinder
    = 2πr^2 +2πrh
    = 2π(3^2) + 2π(3)(7.5)
    = 18π + 45π = 63π
    or appr 197.9 inches^2

    so what do you think?

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