minimum surface areas

[asroc]

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)

[esmerelda3]

cube root of 16/3 esmerelda3 What quiz is this from?

[esmerelda3]

cube root of 16/3

[esmerelda3]

volume 4 over square root 3 OR 4 times sqare root3 You have the question printed twice but different volume? Esmerelda3

[esmerelda3]

for volume 4sqrt3 length cube root 16over 3
for volume 4/sqrt2 length 16power one third 3power mnus two thirds