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Minimum Distance between surface of sphere and cube

  • Thread starter CmlDexter
  • Start date
  • #1
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Homework Statement


Find the minimum distance between the surface of a sphere with radius 3 with center (2,1,2) and a cube with length 6 with center (12,11,12)


Homework Equations


sphere formula: (x-x0)^2+(y-y0)^2+(z-z0)^2=r^2


The Attempt at a Solution


Don't know how to attempt this problem. My assumption is to find the distance between the two centers, then subtract the distance between the radius and the surface of the sphere, and also subtract the distance between the center of the cube to one of the sides. would this procedure be correct?
 

Answers and Replies

  • #2
67
5
Your procedure is partially correct... but you will want to find the minimum distance between the center of the sphere and a point on the cube. (not the distance between the centers)
then you will just subtract the radius from that number
 
Last edited:

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