- #1
dobedobedo
- 28
- 0
I've got a question that I don't know how to solve. The question is:
We want to produce a tent, without a bottom part, which has two rectangular sides and two gables in the form of two isosceles triangles with the base against the ground. Determine the height of the tent, which has volyme V and requires the least amount of cloth.
And by the "amount of cloth" I believe that they mean the area which the surfaces of the tent occupy. The answer is [itex](\frac{V}{\sqrt{2}})^{1/3} = h[/itex], but I don't know how to get to this answer. I guess that one should first try to find the expression of the surface area, and then try to optimize it under some equality constraint. My guess is that the iscoseles triangle is some sort of equality constraint... but I don't know much more.
I can haz this question explained pweez?
We want to produce a tent, without a bottom part, which has two rectangular sides and two gables in the form of two isosceles triangles with the base against the ground. Determine the height of the tent, which has volyme V and requires the least amount of cloth.
And by the "amount of cloth" I believe that they mean the area which the surfaces of the tent occupy. The answer is [itex](\frac{V}{\sqrt{2}})^{1/3} = h[/itex], but I don't know how to get to this answer. I guess that one should first try to find the expression of the surface area, and then try to optimize it under some equality constraint. My guess is that the iscoseles triangle is some sort of equality constraint... but I don't know much more.
I can haz this question explained pweez?