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?

Answer 1

tips?

Answer 2

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

Answer 3

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)

Answer 4

wait a sec...

Answer 5

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?

Answer 6

It's the same concept.