Slicing A Dodecahedron
Geometry
Level
3
A dodecahedron is carefully balanced on one of its vertices and then sliced horizontally through its center (half way between opposite vertices). How many sides does the resulting cross-sectional area have?
Try more questions on Platonic Solids .
The answer is 6.
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1 solution
When an dodecahedron is "standing" on one of its vertices, its 12 faces are oriented with 3 on the top (joined at the top vertex), 3 on the bottom (joined at the bottom vertex), and 6 around the side. These 6 around the side form the 6 sides of a hexagon.