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2015 VTRMC
Problem 2
Problem 2
Part of
2015 VTRMC
Problems
(1)
origami, find volume of folded shape (VTRMC 2015 P2)
Source:
5/5/2021
The planar diagram below, with equilateral triangles and regular hexagons, sides length
2
2
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,
B
A
BA
B
A
will be joined to
Q
P
QP
QP
and
A
C
AC
A
C
will be joined to
D
C
DC
D
C
. Find the volume of the three-dimensional region enclosed by the resulting surface. https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvMy9jL2ZiZjc1ZjY5Nzk5YzRiMjhjODNlZDBiZjU1MzljYzZkNTVhOGQ3LnBuZw==&rn=VlRSTUMgMjAxNS5wbmc=
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