Any shape can be the biggest - as long as it is the biggest.
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all you have to do is multiply the two biggest sides and you get your answer. Ex: Lets say you had a shape with a 5 6 7 3 5 2 3 and the 5 and 3 were the biggest sides that connect you would then multiple them and your answer would be 35! WALAH!
For a given area, the biggest volume you can enclose is a sphere. A sphere has the best volume-to-area ratio.
depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.
There is no reason to think that there is a practical limit to the number of sides that a Polygon can have. If you think mathematically about what is happening to a Polygon as the number of sides approaches INFINITY, it is becoming a Circle.
There is no such thing as the "biggest longer".