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

Question

anonymous · Answer

sphere...
the cube is inscribed in a sphere

unklerhaukus · Answer

the diameter of the sphere will be the length of the diagonal through the cube,
you will want to find the dimensions of the cube first

unklerhaukus · Answer

to find the side length of the cube use 
$$V_{cube}=s^3=8cm^3$$

anonymous · Answer

so the edge length of the cube would be 2

anonymous · Answer

how would you find the diagonal of the cube? I am a plane thinker, a plane slicing the cube in three vertices would create the diagonal as the hypotenuse.

anonymous · Answer

so that would make the diagonal = 3.46?

anonymous · Answer

$$2^{2}+2^{2}=8\rightarrow8+4=12\rightarrow \sqrt{12}=3.46$$

anonymous · Answer

look right?

unklerhaukus · Answer

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