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🧾 CBSE · Class 8

Class 8 Maths: Exploring Some Geometric Themes Worksheet (with Answers)

A free, print-ready worksheet on Exploring Some Geometric Themes for CBSE Class 8 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. A cube has how many faces?
    • (a) 4
    • (b) 6
    • (c) 8
    • (d) 12
  2. 2. A line where two faces meet is an:
    • (a) edge
    • (b) vertex
    • (c) axis
    • (d) arc
  3. 3. Which solid is NOT a polyhedron?
    • (a) cube
    • (b) prism
    • (c) sphere
    • (d) pyramid
  4. 4. Euler's relation is:
    • (a) F + V + E = 2
    • (b) F × V = E
    • (c) F − V + E = 2
    • (d) F + V − E = 2
  5. 5. What is a polyhedron?
  6. 6. State Euler's relation.
  7. 7. Describe the faces, edges and vertices of a cube and a square pyramid, and check Euler's relation for each.
View answers
  1. 1. (b) 6 — A cube has 6 square faces.
  2. 2. (a) edge — Two faces meet at an edge.
  3. 3. (c) sphere — A sphere has a curved surface, so it is not a polyhedron.
  4. 4. (d) F + V − E = 2 — For a convex polyhedron, F + V − E = 2.
  5. 5. A solid whose surfaces are all flat polygons, such as a cube or pyramid.
  6. 6. F + V − E = 2 for a convex polyhedron.
  7. 7. A cube has 6 faces, 12 edges and 8 vertices: F + V − E = 6 + 8 − 12 = 2. A square pyramid has a square base and four triangular faces, giving 5 faces, 8 edges and 5 vertices: F + V − E = 5 + 5 − 8 = 2. Both satisfy Euler's relation, which holds for every convex polyhedron.
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FAQ

Is this Class 8 Maths worksheet on Exploring Some Geometric Themes free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Exploring Some Geometric Themes worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 8 Maths, chapter “Exploring Some Geometric Themes”.