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Class 7 Maths — Visualising solid shapes

Count the faces, edges and vertices of a solid, tell flat surfaces from curved ones, and say what a solid looks like from another direction.

Name: ________________________

Before you start

A cube, drawn on flat paper. Find out what each part of it is called.

1234
  1. 1. The top face
  2. 2. The front face
  3. 3. An edge
  4. 4. A vertex

A cube has 6 faces, 12 edges and 8 vertices — and you can only find some of them on the drawing, because three faces and three edges are hidden round the back.

  1. 1.Match each solid to the number of faces it has.

    • Triangular pyramid
    • Triangular prism
    • Cube
    • Pentagonal prism
    • Hexagonal prism
    • 6
    • 4
    • 5
    • 8
    • 7

  2. 2.Sort each solid by whether every one of its surfaces is flat.

    Groups: Every surface is flat · Has a curved surface

    • Cube
    • Cone
    • Square pyramid
    • Triangular prism
    • Sphere
    • Cylinder

  3. 3.How many edges does a cube have?

  4. 4.Which solid has exactly one flat face and one curved surface?

    • a) A cone
    • b) A cube
    • c) A cylinder
    • d) A sphere

  5. 5.How many edges does a square pyramid have?

  6. 6.A solid has 6 faces and 8 vertices. Using the rule faces + vertices - edges = 2, how many edges does it have?

  7. 7.How many vertices does a cuboid have?

  8. 8.How many vertices does a triangular pyramid have?

Answer key — Class 7 Maths — Visualising solid shapes

  1. 1. Triangular pyramid → 4; Triangular prism → 5; Cube → 6; Pentagonal prism → 7; Hexagonal prism → 8
  2. 2. Cube → Every surface is flat; Cone → Has a curved surface; Triangular prism → Every surface is flat; Sphere → Has a curved surface; Square pyramid → Every surface is flat; Cylinder → Has a curved surface
  3. 3. 12
  4. 4. a) A cone
  5. 5. 8
  6. 6. 12
  7. 7. 8
  8. 8. 4