Representing 3-D in 2-D
ICSE · Class 8 · Mathematics
Quick revision notes for Representing 3-D in 2-D — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Polyhedrons and non-polyhedrons
- Polyhedrons are 3-D figures bounded by polygonal regions.
- Each face of a polyhedron is a polygon.
- Cubes, cuboids, prisms, and pyramids are polyhedrons.
2. Pyramids and tetrahedron
- A pyramid is a polyhedron whose base is a polygon and whose other faces are triangles.
- A right pyramid has congruent triangular lateral faces and its apex is directly above the centre of the base.
- In this chapter, pyramid means a right pyramid.
3. Faces, edges, and vertices counts
- A pyramid with rectangular base has 5 faces, 5 vertices, and 8 edges.
- A square pyramid has 5 faces, 5 vertices, and 8 edges.
- A pentagonal pyramid has 6 faces, 6 vertices, and 10 edges.
4. Euler's formula
- Euler's formula connects faces, vertices, and edges of a polyhedron.
- For a polyhedron, F + V - E = 2.
- This formula is useful for checking whether a set of counts is possible.
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