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minimum surface areas

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asroc | 17:54 Wed 14th Feb 2007 | Quizzes & Puzzles
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A goldsmith is to coat all five faces of an equilateral triangular prism (equilateral triangular cylinder) of prescribed volume 4/srt3 cubic cm. How long should this prism be so that the surface area of coating is minimised? (find the surface area A as a function of some unknown x introuced by you; then find the value of x to make dA/dx=0)
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cube root of 16/3 esmerelda3 What quiz is this from?
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cube root of 16/3
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volume 4 over square root 3 OR 4 times sqare root3 You have the question printed twice but different volume? Esmerelda3
for volume 4sqrt3 length cube root 16over 3
for volume 4/sqrt2 length 16power one third 3power mnus two thirds

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