What is the maximum and minimum surface area of fixed volume cuboid?
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Minimum
Of all the Platonic solids (solids with identical faces) the icosahedron has the lowest surface area to volume ratio. Of all the regular shapes a sphere has the lowest possible surface area to volume ratio.
Maximum
Of all the Platonic solids (solids with identical faces) the icosahedron has the lowest surface area to volume ratio. Of all the regular shapes a sphere has the lowest possible surface area to volume ratio.
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