If you have a regular icosahedron and you slice it along a plane that intersects six of its faces, what is the shape of the resulting cross-section?
- APentagon
- BTrapezoid
- CHexagon
- DRectangle
Solution & Step-by-step Explanation
A regular icosahedron is a 3D solid with equilateral triangular faces.
When a slicing plane cuts through a solid, each intersection of the plane with a face of the solid forms one edge of the cross-sectional polygon.
* Since the slicing plane intersects exactly six faces of the icosahedron, the resulting cross-section will have exactly six straight edges.
* A polygon with six sides/edges is called a Hexagon.
When a slicing plane cuts through a solid, each intersection of the plane with a face of the solid forms one edge of the cross-sectional polygon.
* Since the slicing plane intersects exactly six faces of the icosahedron, the resulting cross-section will have exactly six straight edges.
* A polygon with six sides/edges is called a Hexagon.