BGSU 
Department of Mathematics and Statistics 


Problem of the Month
Fall 2015 Problem 3, November 2015 The planar diagram below, with equilateral triangles and regular hexagons, sides length 2 cm., is folded along the dashed edges of the polygons, to create a closed surface in three dimensional Euclidean spaces. Edges on the periphery of the planar diagram are identified (or glued) with precisely one other edge on the periphery in a natural way. Thus for example, BA will be joined to QP and AC will be joined to DC. Find the volume of the threedimensional region enclosed by the resulting surface (Solutions are due before December 1st 2015).
(37th Annual Virginia Tech Regional Mathematics Contest, October 24, 2015)
Problem 2, October 2015
Problem 1, August 2015 A cake has a quadrilateral shape (four sides). We cut the cake along the two diagonals and eat one of the four pieces. The three remaining pieces weight: 120 grams, 200 grams and 300 grams respectively. What was the initial weight of the cake? (solution due before September 15^{th} 2015). Correct solution submitted by: Ben Hardy
Please submit your solution for this month problem no later than 1st of the next month. Try to keep your solution to less than two pages. My office is in MSC 426 and my email address is mstaic@bgsu.edu You may also put your solution in my mailbox (Mihai Staic). If you want to propose a problem please contact me by email or in person.



