Consider a cuboid of volume 80 cm'. Let the dimensions of the cuboid be w= width,...
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Consider a cuboid of volume 80 cm'. Let the dimensions of the cuboid be w= width, d = depth and h = height. h d Let T be the total length of the twelve edges of the cuboid. Express T as a function of w, d and h. (a) Use multivariable calculus to (i) find and (ii) confirm the dimensions of the cuboid that minimises T. Show all workings. (b) (c) Find the corresponding total length of the twelve edges. Consider a cuboid of volume 80 cm'. Let the dimensions of the cuboid be w= width, d = depth and h = height. h d Let T be the total length of the twelve edges of the cuboid. Express T as a function of w, d and h. (a) Use multivariable calculus to (i) find and (ii) confirm the dimensions of the cuboid that minimises T. Show all workings. (b) (c) Find the corresponding total length of the twelve edges.
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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