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What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?
Wiki User
∙ 12y ago
surface area of sphere = 4πR2
volume of sphere = 4/3πR3
surface area of cube = 6s2
volume of cube = s3
since volumes are equal then
s3 = 4/3πR3
s = [cube root (4/3π)] R
surface area ofcube = 6 (cube root( 4/3π) times R)2
surface area sphere = 4πR2= 12.56 R2
surface area cube = 15.44 R2
So a sphere has less surface area than a cube with the same volume.
Where R= radius of the sphere
s=length of side of the cube
Sorry,calculation above is now corrected - same equations, earlier made math error - cube has more surface area as you can see
Wiki User
∙ 12y ago
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