TimeSpaceLightForce Posted May 2, 2013 Report Share Posted May 2, 2013 How will you make a slice on a cube ice so that it will melt quickest? 1 1 Quote Link to comment Share on other sites More sharing options...
0 BobbyGo Posted May 2, 2013 Report Share Posted May 2, 2013 When you say, "so that it will melt the quickest", should we assume it refers to the whole cube and not just the slice? Otherwise you could just slice off the smallest possible chunk from a corner. If the slice must be a straight one, then, starting from two adjacent corners, cut diagonally through the cube to the two opposite corners. This should give us the most surface area on each of the two halves and allow for the quickest natural melting of the cube. Or cut it with fire. That might be quicker. 1 1 Quote Link to comment Share on other sites More sharing options...
0 jhawk Posted May 2, 2013 Report Share Posted May 2, 2013 Assuming it is a true cube, and "a slice" means one staight cut, slice diagonally, from 1 vertex, through the opposite to give maximum surface area Quote Link to comment Share on other sites More sharing options...
0 bayes guy Posted May 2, 2013 Report Share Posted May 2, 2013 wit a flaym throwuh Quote Link to comment Share on other sites More sharing options...
0 bayes guy Posted May 2, 2013 Report Share Posted May 2, 2013 wit a flaym throwuh? Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 2, 2013 Author Report Share Posted May 2, 2013 When you say, "so that it will melt the quickest", should we assume it refers to the whole cube and not just the slice? Otherwise you could just slice off the smallest possible chunk from a corner. "so that the ice or the slices to become water as soon as possible" If the slice must be a straight one, then, starting from two adjacent corners, cut diagonally through the cube to the two opposite corners. This should give us the most surface area on each of the two halves and allow for the quickest natural melting of the cube. Or cut it with fire. That might be quicker. Cut should be straight and sharp.. a Light saber or Laser sword will do. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 2, 2013 Author Report Share Posted May 2, 2013 wit a flaym throwuh? Hi bayes guy..its nice of you to join the den of brains,welcome here. Your answer is right unless it wont evaporate the cube ice.. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 2, 2013 Author Report Share Posted May 2, 2013 Assuming it is a true cube, and "a slice" means one staight cut, slice diagonally, from 1 vertex, through the opposite to give maximum surface are no that is not the maximum cross section of a slice Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 2, 2013 Author Report Share Posted May 2, 2013 The heat transfer is proportional to the surface area of the ice.. that is 5 squares because a face is not exposed. If sliced two surfaces wont be exposed..in the case of answers above..BG's slice (rectangular) makes the largest cross section. But jhawks (rhombus) slice make the total exposed area larger than BG's but not the largest. Quote Link to comment Share on other sites More sharing options...
0 BobbyGo Posted May 2, 2013 Report Share Posted May 2, 2013 (edited) Ahh... that pesky unexposed side. Gets me every time. Maybe the slice starts by intersecting the midpoints of two connecting edges and progresses through the opposing side's inverse edges midpoints (crude drawing attached to act as translation). I'm not sure about the math, but the small face of each piece should be stable enough to act as the base and not tip over? Edited May 2, 2013 by BobbyGo Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted May 3, 2013 Report Share Posted May 3, 2013 I thought perhaps the slice that produces a hexagon would create the largest exposed area. But I checked, and its side is just 1/2 sqrt (2) = .7071 for a unit cube making an area of six equilateral triangles with that side length, or 1.29.. square units. 1 1 Quote Link to comment Share on other sites More sharing options...
0 bhramarraj Posted May 6, 2013 Report Share Posted May 6, 2013 Could it be cut in circular shape, or is it restricted to straight slice? 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 6, 2013 Author Report Share Posted May 6, 2013 Could it be cut in circular shape, or is it restricted to straight slice? using a hole saw is another puzzle like the S&C&C&S.. but for this one its a thin straight cut. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted May 21, 2013 Author Report Share Posted May 21, 2013 bonanova's rupert cut is ideal for most surface exposure with stable unexposed base Quote Link to comment Share on other sites More sharing options...
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TimeSpaceLightForce
How will you make a slice on a cube ice so that it will melt quickest?
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