Smugglers vs. Coastguards

[asroc]

A goldsmith is to coat all five faces of an equilateral triangular prism (equilateral triangular cylinder) of prescribed volume 4/sqrt3 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)

[esmerelda3]

3 to the power of minus 5/6 that is if I read your original problem correctly and the volume is 4/3 I will double check later.Esmerelda3

[esmerelda3]

sorry reread and see the square root will do again about 11am at coffee break!

[esmerelda3]

cube root of 16/3 esmerelda3

[esmerelda3]

cube root of 16/3 Where did this come from please Esmarelda3

[esmerelda3]

cube root of 16/3

[esmerelda3]

cube root (16/3) when volume 4 sqrt3 as written in your other question Have posted answer to this in questions!!! Where did this come from?

[esmerelda3]

do not know why my answer is not here I have tried numerous times Cube root ( 16 /3) Where is this puzzle from please? Esmerelda3

[esmerelda3]

I have tried to send answer before but it still indicates no answrs. As I am new maybe I am doing something wrong!
cube root( 16/3 ) but there is a different answer if the volume is 4/sqrt3 as you have printed in a different question