MathDB
Problems
Contests
National and Regional Contests
Spain Contests
Spain Mathematical Olympiad
1974 Spain Mathematical Olympiad
7
7
Part of
1974 Spain Mathematical Olympiad
Problems
(1)
computational with regular hexagonal prism
Source: Spanish Mathematical Olympiad 1974 P7
12/5/2022
A tank has the shape of a regular hexagonal prism, whose bases are
1
1
1
m on a side and its height is
10
10
10
m. The lateral edges are placed in an oblique position and is partially filled with
9
9
9
m
3
^3
3
of water. The plane of the free surface of the water cuts to all lateral edges. One of them is left with a part of
2
2
2
m under water. What part is under water on the opposite side edge of the prism?
geometry
3D geometry
prism