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Grade 9 · Geometry of 3D Objects
Geometry of 3-D Objects: Faces, Vertices, Edges & Nets
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  / 14

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    How many faces, vertices and edges does a cube have?
    (3)
    hidden edges are dashed
  2. 2
    State Euler's formula.
    (1)
  3. 3
    A solid has 5 faces and 6 vertices. How many edges?
    (2)
    a triangular prism
  4. 4
    How many Platonic solids are there?
    (1)
  5. 5
    How many faces does an octahedron have, and what shape are they?
    (2)
  6. 6
    Check Euler's formula for a tetrahedron (4 faces, 4 vertices, 6 edges).
    (2)
    a tetrahedron — 4 triangular faces
  7. 7
    How many edges and vertices does a sphere have?
    (1)
    no edges, no vertices
  8. 8
    How many squares are in the net of a cube?
    (1)
  9. 9
    A net has 2 circles and 1 rectangle. Which solid is it?
    (1)
TOTAL: 14 marks
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