Question

a sphere has a diameter of 500mm. what is the edge length of the largest possible cube that would be able to fit within the sphere
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Answer 1

The edge length of the largest possible cube that would be able to fit within the sphere is 288.67 mm.

• When a cube is cut from a sphere, the diameter of the sphere is equals to the diagonal of the cube.
• According to this question, the length of the diagonal of the cube is 500 mm as it is the diameter of the sphere is 500 mm.
• The formula for calculating edge of cube is

                                d = √3 a

       [ where d = length of diagonal , a = length of edge ]

• putting d = 500, we get a = 288.67 mm