A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touches the sphere. What is the length of the diameter , in centimeters , of the sphere?

Question

3psilon · Answer

I keep getting $$2\sqrt{2}$$
but it says it's $$2\sqrt{3}$$

anonymous · Answer

Yes, it's 2 * sqrt(3).  I'll explain.

anonymous · Answer

The lenght of a cube side is 2 cm, and half that is 1 cm.  You have to do 2 right triangles to get the length from the center of the cube to a vertex.

anonymous · Answer

Conceptualize the cube as 8 little cubes each being 1 cm on its edges.  With me so far?

3psilon · Answer

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