If you have a regular dodecahedron and you slice it in half along a plane that passes through the centres of opposite faces, what is the shape of the cross-section?
- AHexagon
- BRectangle
- CDecagon
- DPentagon
Solution & Step-by-step Explanation
A regular dodecahedron is a 3D solid composed of regular pentagonal faces.
When a regular dodecahedron is sliced in half by a plane passing through the centres of two opposite parallel pentagonal faces, the plane cuts through exactly faces of the dodecahedron.
The boundaries where the slicing plane intersects these faces create a polygon with sides. Therefore, the resulting shape of the cross-section is a decagon.
When a regular dodecahedron is sliced in half by a plane passing through the centres of two opposite parallel pentagonal faces, the plane cuts through exactly faces of the dodecahedron.
The boundaries where the slicing plane intersects these faces create a polygon with sides. Therefore, the resulting shape of the cross-section is a decagon.