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Free summary · Grade 6 Maths

3D objects

Faces, edges and vertices of prisms and pyramids, and flat and curved surfaces. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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3D objects

A face is a flat side; an edge is where two faces meet; a vertex is a corner where edges meet.

ObjectFacesVerticesEdges
cube6812
rectangular prism6812
triangular prism569
square pyramid558
triangular pyramid446
pentagonal prism71015
hexagonal prism81218
  • A prism has two identical, parallel end faces (bases) joined by rectangles. It is named after its base: triangular prism, rectangular prism.
  • A pyramid has one base and triangular faces that meet at one point (the apex). It is also named after its base: square pyramid.
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Flat and curved surfaces

ObjectShape of the faces
cube6 squares
rectangular prism6 rectangles
triangular prism2 triangles and 3 rectangles
square pyramid1 square and 4 triangles
cylinder2 flat circles and 1 curved surface
cone1 flat circle, 1 curved surface and a point
sphere (ball)only 1 curved surface, no flat faces
Meerkat tip

An object with a curved surface can roll; flat faces let it slide. A cylinder can do both.

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Nets

A net is a flat shape that you can fold to make a 3D object. Cube: 6 squares. Triangular prism: 2 triangles and 3 rectangles. Square pyramid: 1 square and 4 triangles. Tetrahedron (triangular pyramid): 4 triangles.

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Tetrahedrons and pyramids

A tetrahedron is a triangular pyramid: 4 triangular faces, 4 vertices and 6 edges. All pyramids rise to one point at the top; they differ in the shape of the base.

  • Square pyramid: 5 faces, 5 vertices, 8 edges.
  • Build models with straws and toothpicks (the edges), or fold a net (the faces).
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Remember this and test yourself

Remember this: your summary
  • Face = flat side; edge = line; vertex = corner.
  • Cube: 6 faces, 8 vertices, 12 edges.
  • Prism: two identical end faces, joined by rectangles.
  • Pyramid: one base and triangles that meet at a point.
  • Cylinder: 2 flat circles and 1 curved surface; sphere: only 1 curved surface.

Write these points in your book. Read them again the night before the test.

Memory trick

Cube 6-8-12: faces, vertices, edges.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Now the real quiz!

The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.

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For parents
  • Let your child work the examples on paper and explain them to you.
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Follows CAPS for Grade 6 Mathematics. Always check your teacher’s notes and textbook too.

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