find the ratio of surface area and volume of the cube of unit edge
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Let the radius of the sphere which fits exactly into a cube be r units.
Then,
Length of each edge of the cube =2r units
Let V1 and V2 be the volumes of the cube and sphere respectively. Then,
V1=(2r) 3 and V2 =34
πr 3
V2 V1 = π6
V1:V2
=6:π
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