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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

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Date

Score/ 16

  1. Question 1

    How many vertices does a hexagonal prism have?

    Answer

  2. Question 2

    A polyhedron has 10 vertices and 15 edges. Use Euler's rule F + V − E = 2 to find the number of faces.

    Answer

  3. Question 3

    A net is made of 2 triangles and 3 rectangles. Which solid does it fold into?

    • A. cube
    • B. tetrahedron (triangular pyramid)
    • C. triangular prism
    • D. hexagonal prism
  4. Question 4

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

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    A net is made of 2 triangles and 3 rectangles. Which solid does it fold into?

    • A. cube
    • B. triangular prism
    • C. pentagonal prism
    • D. tetrahedron (triangular pyramid)
  7. Question 7

    How many edges does a square-based pyramid have?

    Answer

  8. Question 8

    A polyhedron has 7 faces and 15 edges. Use Euler's rule F + V − E = 2 to find the number of vertices.

    Answer

  9. Question 9

    A net is made of 2 triangles and 3 rectangles. Which solid does it fold into?

    • A. cube
    • B. pentagonal prism
    • C. tetrahedron (triangular pyramid)
    • D. triangular prism
  10. Question 10

    How many edges does a cube have?

    Answer

  11. Question 11

    A polyhedron has 6 vertices and 9 edges. Use Euler's rule F + V − E = 2 to find the number of faces.

    Answer

  12. Question 12

    A net is made of 2 triangles and 3 rectangles. Which solid does it fold into?

    • A. triangular prism
    • B. tetrahedron (triangular pyramid)
    • C. square-based pyramid
    • D. pentagonal prism
  13. Question 13

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

    Answer

  14. Question 14

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

    Answer

  15. Question 15

    A net is made of 2 pentagons and 5 rectangles. Which solid does it fold into?

    • A. pentagonal prism
    • B. triangular prism
    • C. square-based pyramid
    • D. cube
  16. Question 16

    How many edges does a hexagonal prism have?

    Answer

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Answer key: Match nets to solids and count faces, edges and vertices

  1. 1. 12

  2. 2. 7

  3. 3. C. triangular prism

  4. 4. 4

  5. 5. 4

  6. 6. B. triangular prism

  7. 7. 8

  8. 8. 10

  9. 9. D. triangular prism

  10. 10. 12

  11. 11. 5

  12. 12. A. triangular prism

  13. 13. 4

  14. 14. 9

  15. 15. A. pentagonal prism

  16. 16. 18