A cubical box with 10'' long sides contain a sphere with diameter of 10''. What is the maximum number of inches that any point on the sphere could be from any point on the surface of the cube? Express your answer as decimal to the nearest hundredth.

Question

mertsj · Answer

3.66 inches.

anonymous · Answer

you mean 13.66? because there is no such option for the answer
a) 13.06 b) 13.66 c) 13.48 d) 13.56

anonymous · Answer

but how did you get that for the answer? Can you explain please?

mertsj · Answer

I must be wrong.  I thought it would be half the distance of the diagonal of the cube - the diameter of the sphere.

mertsj · Answer

Ok.  I see.  it would be 13.66 because it says the maximum distance it could be from ANY point on the sphere and I interpreted that to mean  the maximum distance you could go before intersecting the sphere.

mertsj · Answer

So just take my answer and add the diameter of the sphere.

anonymous · Answer

Can you clarify this part: "half the distance of the diagonal of the cube- the diameter of the sphere" how is it 3.66 ?

mertsj · Answer

AB is the diagonal of the cube.  |dw:1331428272655:dw|