Exploring Some Geometric Themes
CBSE · Class 8 · Mathematics
Most important questions from Exploring Some Geometric Themes for CBSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
A pyramid has a base with 10 sides. How many faces, edges and vertices does it have?
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11 faces, 20 edges, 11 vertices
A pyramid has 1 base and 10 triangular side faces, so faces = 11. It has 10 base edges and 10 side edges joining the apex to the vertices of the base, so edges = 20. It has 10 base vertices and 1 apex, so vertices = 11. The correct answer is 11 faces, 20 edges, 11 vertices.
A dodecahedron has exactly 43,380 nets. If 12 similar solids are considered one after another, how many nets are there in total?
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520,560
Multiply the number of nets by 12: 43,380 × 12 = 520,560. The correct answer is 520,560.
An octahedron has 11 different nets. If 5 students each make all the different nets once, how many net copies are made in all?
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55
Each student makes 11 nets, so 5 students make 5 × 11 = 55 net copies. The correct answer is 55.
A cube balanced on a corner vertex has an isometric projection shaped like what?
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A regular hexagon
The isometric representation of a cube is a regular hexagon when the cube is balanced on a corner vertex. The correct answer is a regular hexagon.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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