Question
Find the surface area of the smallest cube that can
perfectly fit a sphere of volume 972Ï€ cm3 inside it. ÂSolution
Let the radius of the sphere be 'R' cm. 972π = (4/3) x π x R3 Or, 729 = R3 So, R = 9 So, length of edge of the cube = 9 x 2 = 18 cm Required area = 6 x 182 = 1944 cm2
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(a) Find its volume.
(b) Find the length of its space diagonal.
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