Primary 6 · Mathematics · 3D Solids & Nets

3D Solids & Nets questions for Primary 6 Maths

10 questions to work through online. Answer and you get the working straight away, then a score at the end. No sign-up, and you can retake it as often as you like.

  • Counting faces
  • Counting edges
  • Counting vertices
  • Nets
  • Euler's relation
  • Naming solids
  • Properties of solids
0 of 10 answered
Question 1 of 10Counting faces
How many faces does a triangular pyramid (tetrahedron) have?
Question 2 of 10Counting edges
How many edges does a triangular pyramid have?
Question 3 of 10Counting vertices
How many vertices does a triangular prism have?
Question 4 of 10Nets
A net is made of 4 triangles. Which solid does it fold into?
Question 5 of 10Nets
A net is made of 2 triangles and 3 rectangles. Which solid does it fold into?
Question 6 of 10Euler's relation
A solid has 8 faces and 12 vertices. How many edges does it have? (Use faces + vertices − edges = 2.)
Question 7 of 10Naming solids
Which solid has 1 circular face, 1 vertex and 1 curved surface?
Question 8 of 10Counting faces
How many faces does a pentagonal prism have?
Question 9 of 10Nets
Which of these cannot be a net of a cube?
Question 10 of 10Properties of solids
Which solid has the same number of faces, vertices and edges as a cube?
Answers and explanations for all 10 questions

Every answer with the reasoning behind it. Worth reading after you have tried the set — or on its own, if you are a parent marking it.

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

    Answer: 4

    A tetrahedron has 4 triangular faces — three sloping ones and the base.

  2. How many edges does a triangular pyramid have?

    Answer: 6

    Three edges around the base and three rising to the apex: 6 edges.

  3. How many vertices does a triangular prism have?

    Answer: 6

    Three vertices at each triangular end: 6 vertices.

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

    Answer: Triangular pyramid

    Four triangles fold up into a tetrahedron.

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

    Answer: Triangular prism

    The two triangles are the ends and the three rectangles wrap around the sides.

  6. A solid has 8 faces and 12 vertices. How many edges does it have? (Use faces + vertices − edges = 2.)

    Answer: 18

    Edges = faces + vertices − 2 = 8 + 12 − 2 = 18.

  7. Which solid has 1 circular face, 1 vertex and 1 curved surface?

    Answer: Cone

    A cone has a circular base, a curved surface rising to one vertex at the tip.

  8. How many faces does a pentagonal prism have?

    Answer: 7

    Two pentagonal ends and five rectangular sides: 7 faces.

  9. Which of these cannot be a net of a cube?

    Answer: A row of 6 squares

    Six squares in a single row fold over each other; two of them land in the same place.

  10. Which solid has the same number of faces, vertices and edges as a cube?

    Answer: Cuboid

    A cuboid, like a cube, has 6 faces, 8 vertices and 12 edges.