We now draw a picture of the figure resulting from the simple case - presuming we lay the flat sheet on the x-y plane with one vertex at the origin and the 8 cm side along the x- and the 10 cm side along the y-axis. Pi' are the points in the flat sheet which we cut into and form the bottom vertices of the box and the Qi's are the resulting top vertices.
Input :=
P1 = {ae,ae,0}; P2 = {ae,10-ae,0};
P3 = {8-ae,10-ae,0}; P4 = {8-ae,ae,0};
Q1 = {ae-be,ae-be,Sqrt[ae^2 - be^2]};
Q2 = {ae-be,10-ae+be,Sqrt[ae^2 - be^2]};
Q3 = {8-ae+be,10-ae+be,Sqrt[ae^2 - be^2]};
Q4 = {8-ae+be,ae-be,Sqrt[ae^2 - be^2]};
Input :=
pics = Show[Graphics3D[{PointSize[.02], Point[P1],
Point[P2], Point[P3], Point[P4],Point[Q1],
Point[Q2], Point[Q3], Point[Q4],
Thickness[.01], Line[{P1,P2}], Line[{P2,P3}],
Line[{P3,P4}], Line[{P4,P1}], Line[{Q1,Q2}],
Line[{Q2,Q3}], Line[{Q3,Q4}], Line[{Q4,Q1}],
Line[{P1,Q1}], Line[{P2,Q2}], Line[{P3,Q3}],
Line[{P4,Q4}] }],Boxed->False]
General::spell1:
Possible spelling error: new symbol name "pics"
is similar to existing symbol "picc".
;[o]
General::spell1:
Possible spelling error: new symbol name "pics"
is similar to existing symbol "picc".
Output =
-Graphics3D-