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3D Solids: Faces, Edges & Vertices (Year 8)

Free printable UK Year 8 (Key Stage 3) maths worksheet: state the faces, edges and vertices of 3D solids and verify Euler's formula.

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Grade 7 · Math worksheet
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Math

3D Solids: Faces, Edges & Vertices

State the faces, edges and vertices of each 3D solid, and check Euler's formula where it applies.

  1. 1.
    State the number of faces, edges and vertices of a pentagonal prism, and verify Euler's formula F + V - E = 2.
  2. 2.
    State the number of faces, edges and vertices of a hexagonal prism, and verify Euler's formula F + V - E = 2.
  3. 3.
    State the number of faces, edges and vertices of a cuboid, and verify Euler's formula F + V - E = 2.
  4. 4.
    State the number of faces, edges and vertices of a square-based pyramid, and verify Euler's formula F + V - E = 2.
  5. 5.
    State the number of faces, edges and vertices of a cube, and verify Euler's formula F + V - E = 2.
  6. 6.
    State the number of flat faces, curved surfaces, edges and vertices of a cylinder. Does Euler's formula (F + V - E = 2) apply to it? Why or why not?
  7. 7.
    State the number of flat faces, curved surfaces, edges and vertices of a cone. Does Euler's formula (F + V - E = 2) apply to it? Why or why not?
  8. 8.
    State the number of flat faces, curved surfaces, edges and vertices of a sphere. Does Euler's formula (F + V - E = 2) apply to it? Why or why not?
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