TimeSpaceLightForce 12 Report post Posted August 6, 2013 How can I fabricate (cut,bend,weld) the 1m x 1 m metal sheet into an open top box to hold 75 liters of liquid? Share this post Link to post Share on other sites
0 witzar 18 Report post Posted August 7, 2013 1. Cut the sheet into 5 congruent rectangles. 2. Cut&weld each rectangle into a square. 3. Weld 5 squares together into an open top box that can hold (1/5)^(3/2) = 0.0894 m^2 of liquid (more than 89 liters). Share this post Link to post Share on other sites
0 TimeSpaceLightForce 12 Report post Posted August 7, 2013 (edited) 1. Cut the sheet into 5 congruent rectangles. 2. Cut&weld each rectangle into a square. 3. Weld 5 squares together into an open top box that can hold (1/5)^(3/2) = 0.0894 m^2 of liquid (more than 89 liters). That is right! Nice 1 But the maxima solution and the rectangle to square method are under and over design for fabrication. The 9 grids solution is enough for the problem. For the best.. i got the idea from witzars solution.. Edited August 7, 2013 by TimeSpaceLightForce Share this post Link to post Share on other sites
0 TimeSpaceLightForce 12 Report post Posted August 7, 2013 (edited) Im trying to edit the weld value of Greek cross solution to 3.788m , this make it cheaper for 9 grids solution to fabricate note: pls hide last figure Edited August 7, 2013 by TimeSpaceLightForce Share this post Link to post Share on other sites
0 kedes 0 Report post Posted August 7, 2013 Roll sheet into a cylindar that will have the volume of 1 meter times area of opening (Circumference of 1 M) Share this post Link to post Share on other sites
0 Anza Power 9 Report post Posted August 7, 2013 My instincts tell me that half a sphere would give you best results. In this case if you can make half a sphere with area of 1 M^{2} you'd have space for 94 liters. But since you can't make a perfect sphere by cutting and welding, you can try to make it close to a sphere by making a polygon of the highest order as you can, the higher the order the more pieces you'll have to cut and weld Share this post Link to post Share on other sites
0 TimeSpaceLightForce 12 Report post Posted August 9, 2013 Roll sheet into a cylindar that will have the volume of 1 meter times area of opening (Circumference of 1 M) 1)For height=circumference:no base V=h (a) volume h=C=1 height C=piD=1 circumference D=2r=(1/pi) diameter r=1/2/pi radius a=pi(r )^2 circle area V=(1)(pi)(1/2/pi)^2 V= 0.07958 2) For height=diameter :no base a=pi( r)^2 circle area D= 2r=(C/pi) diameter r=C/pi/2 raduis A=1=2rC cylinder area C=1/2/r circumference r=(1/2/r)/pi/2 r=0.28209 V=2r(pi)r^2 volume V=0.14105 good for holding marbles Share this post Link to post Share on other sites
0 TimeSpaceLightForce 12 Report post Posted August 9, 2013 My instincts tell me that half a sphere would give you best results. In this case if you can make half a sphere with area of 1 M^{2} you'd have space for 94 liters. But since you can't make a perfect sphere by cutting and welding, you can try to make it close to a sphere by making a polygon of the highest order as you can, the higher the order the more pieces you'll have to cut and weld 1) volume of sphere=4/3 (Pi) rrr area of sphere=4(pi)rr 1=4(pi)rr r=0.28209 V=0.09403 2) volume of half sphere=2/3 (Pi) rrr area of half sphere=2(pi)rr 1=2(pi)rr r=0.39894 V=0.13298 Share this post Link to post Share on other sites
0 Anza Power 9 Report post Posted August 9, 2013 My instincts tell me that half a sphere would give you best results. In this case if you can make half a sphere with area of 1 M^{2} you'd have space for 94 liters. But since you can't make a perfect sphere by cutting and welding, you can try to make it close to a sphere by making a polygon of the highest order as you can, the higher the order the more pieces you'll have to cut and weld1) volume of sphere=4/3 (Pi) rrrarea of sphere=4(pi)rr1=4(pi)rrr=0.28209V=0.094032) volume of half sphere=2/3 (Pi) rrrarea of half sphere=2(pi)rr1=2(pi)rrr=0.39894V=0.13298Yes, the volume is in units of meter^{3}, 1 m^{3} = 1000 liters. Share this post Link to post Share on other sites
How can I fabricate (cut,bend,weld) the 1m x 1 m metal sheet into an open top box to hold 75 liters of liquid?
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