What is the volume of the largest cube that can fit in a sphere of diameter 2cm.

Asked by Shaurya Pahal | 28th Dec, 2013, 04:04: PM

Expert Answer:

Cube is inscribed inside a sphere.
So, diagonal of cube = diameter of sphere
root 3 * Edge = 2
Edge = 2/root 3
 
Thus, volume of the cube = (Edge)^3 = (2/root 3)^3 = 8/3 root3 cubic cm

Answered by  | 28th Dec, 2013, 04:14: PM

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