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How to Maximize volume given surface area?
make it spherical
Why is it important to maximize the surface area to volume ratio?
It is not always the case. If you are out in the cold with insufficient clothing, the important thing - to prevent hypothermia - is to MINIMISE the surface to volume ratio.
How do you maximize the area given the perimeter?
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
What is the surfqace area of a cylinder?
It is the surface area of the two ends plus the surface area of the curved surface. Surface area of each end is pir2 Surface area of the curved surface is 2pirh Total surface area = 2pir2 + 2pirh
What is the formula for surface area?
2(l*w)+2(l*h)+2(w*h) * * * * * That is only true for a cuboid. Other bodies also have surface areas and there are lots of formulae dealing with them.
