Cross Sections (GEOMETRY)

Refer to math is fun: Cross Sections (Geometry)

Cross sections is a interesting geometry problem, it let you thinks about how to slice a 3D solid shape into some 2D shapes, for instance:

• Slice a cube into:
• triangle (3 sides)
• square (4 sides)
• rectangle (4 sides)
• pentagon (5 sides)
• hexagon (6 sides)
• Slice a pyramid into:
• triangle (3 sides)
• square (4 sides)
• rectangle (4 sides)
• trapezoid (4 sides)
• pentagon (5 sides)
• Slice a triangular prism into:
• triangle (3 sides)
• square (4 sides)
• rectangle (4 sides)
• pentagon (5 sides)
• Slice a cylinder into:
• circle (no straight sides)
• Slice a cone into:
• triangle (3 sides)
• circle (no straight sides)

Note:

• To slice it must be using a plane to cut through.
• You can not only slice the 3D shape horizontally and vertically, but also any angle you like to get it.

Slice a cube to get a pentagon:

Slice a triangular prism to get a pentagon:

Slice a right pyramid to get a pentagon:

Slice a cone to get Ellipse:

Slice a cone to get a parabola: