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Match nets to solids and count faces, edges and vertices

6th grade (Year 7 in England) · 16 questions · Common Core: 6.G.A.4 · England: Y6 Geometry, KS3 Geometry and measures

Name

Date

Score/ 16

  1. Question 1

    A polyhedron has 5 faces and 6 vertices. Use Euler's rule F + V − E = 2 to find the number of edges.

    Answer

  2. Question 2

    How many faces does a cube have?

    Answer

  3. Question 3

    A net is made of 1 square and 4 triangles. Which solid does it fold into?

    • A. pentagonal prism
    • B. square-based pyramid
    • C. triangular prism
    • D. cube
  4. Question 4

    A polyhedron has 12 vertices and 18 edges. Use Euler's rule F + V − E = 2 to find the number of faces.

    Answer

  5. Question 5

    How many vertices does a square-based pyramid have?

    Answer

  6. Question 6

    A net is made of 6 equal squares. Which solid does it fold into?

    • A. pentagonal prism
    • B. square-based pyramid
    • C. cube
    • D. triangular prism
  7. Question 7

    A polyhedron has 8 vertices and 12 edges. Use Euler's rule F + V − E = 2 to find the number of faces.

    Answer

  8. Question 8

    How many edges does a tetrahedron (triangular pyramid) have?

    Answer

  9. Question 9

    A net is made of 6 equal squares. Which solid does it fold into?

    • A. square-based pyramid
    • B. triangular prism
    • C. cube
    • D. tetrahedron (triangular pyramid)
  10. Question 10

    A polyhedron has 4 faces and 6 edges. Use Euler's rule F + V − E = 2 to find the number of vertices.

    Answer

  11. Question 11

    How many edges does a pentagonal prism have?

    Answer

  12. Question 12

    A net is made of 1 square and 4 triangles. Which solid does it fold into?

    • A. pentagonal prism
    • B. triangular prism
    • C. cube
    • D. square-based pyramid
  13. Question 13

    A polyhedron has 5 faces and 6 vertices. Use Euler's rule F + V − E = 2 to find the number of edges.

    Answer

  14. Question 14

    How many edges does a cube have?

    Answer

  15. Question 15

    A net is made of 6 equal squares. Which solid does it fold into?

    • A. triangular prism
    • B. pentagonal prism
    • C. cube
    • D. hexagonal prism
  16. Question 16

    A polyhedron has 4 vertices and 6 edges. Use Euler's rule F + V − E = 2 to find the number of faces.

    Answer

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  1. 9
  2. 6
  3. square-based pyramid
  4. 8
  5. 5
  6. cube
  7. 6
  8. 6
  9. cube
  10. 4
  11. 15
  12. square-based pyramid
  13. 9
  14. 12
  15. cube
  16. 4