If a rectangular solid have edges, 4 cm, 5 cm and 7 cm, is inscribed in a sphere. How will I get the volume and surface area of the sphere?
Do I need to get the volume of the rectangular solid and use it to get the radius of the sphere?
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If you visualize, then the diagonal of the cuboid will be a diameter of the sphere. Take out the diagonal of cuboid, and half it to get the radius. – Rohinb97 Feb 26 '14 at 13:37
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Then the radius will be 4.74? Am I right? – user114811 Feb 26 '14 at 13:59
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@user114811: that is approximately correct. I think it would be better to leave it as $3\sqrt{10}$, which is exact. – Ross Millikan Jun 24 '15 at 00:01
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You need to use pythagoras twice to find the length of the long diagonal of the cuboid - the long diagonals will be diameters of the sphere.
Mark Bennet
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