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

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?

anonymous · Answer

tips?

anonymous · Answer

|dw:1350153695972:dw|

anonymous · Answer

well, our figures here are three-dimensional...

anonymous · Answer

the distance formula in 3D is sq root of ( x^2+y^2+z^2) assuming you are starting at the origin:  so sq root of ( 2^2+2^2+2^2)

anonymous · Answer

wait a sec...

anonymous · Answer

wouldn't 2 and the cube root of 3 make sense since we have a cube in the problem and 

the side of the cube equals 2?

anonymous · Answer

It's the same concept. |dw:1350153814699:dw|