Skip to main content
Chapter 19 of 25
Practice Quiz

Representing 3-D in 2-D — Practice Quiz

ICSE · Class 8 · Mathematics

Try a 4-question quiz on Representing 3-D in 2-D for ICSE Class 8 Mathematics: tap an answer to check it and see why.

97 questions26 flashcards2 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Representing 3-D in 2-D? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.

Free trial, no card needed.

Quick Quiz: Representing 3-D in 2-D

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

A square pyramid has 5 faces, 5 vertices, and 8 edges. Verify Euler's formula value for this solid by calculating F + V - E.

2

A pentagonal prism has 7 faces, 10 vertices, and 15 edges. Find the value of F + V - E.

3

A hexagonal prism has 8 faces and 18 edges. Use Euler's formula to find the number of vertices.

4

A triangular prism has 6 vertices and 9 edges. Use Euler's formula to find the number of faces.

97 Questions·
multiple choicemultiple correcttrue false

Sample Questions

1multiple choice
3 marks

A polyhedron has 20 faces and 12 vertices. Find the number of edges using Euler's formula.

Show answer

30

Step 1: Use F + V - E = 2. Step 2: Put F = 20 and V = 12. Step 3: 20 + 12 - E = 2. Step 4: 32 - E = 2. Step 5: E = 30. So the number of edges is 30.

2multiple choice
3 marks

A polyhedron has 14 faces, 24 edges, and 33 vertices. Decide whether Euler's formula is satisfied.

Show answer

No, because 14 + 33 - 24 = 23

Step 1: Apply Euler's formula: F + V - E. Step 2: Substitute F = 14, V = 33, E = 24. Step 3: 14 + 33 - 24 = 47 - 24 = 23. Step 4: Since 23 is not 2, Euler's formula is not satisfied. So the correct conclusion is that this polyhedron cannot exist.

3multiple choice
3 marks

A tetrahedron has 4 faces and 4 vertices. Use Euler's formula to find the number of edges.

Show answer

6

Step 1: Use F + V - E = 2. Step 2: Put F = 4 and V = 4. Step 3: 4 + 4 - E = 2. Step 4: 8 - E = 2. Step 5: E = 6. So the number of edges is 6.

4multiple choice
3 marks

A square pyramid has 5 faces and 8 edges. Use Euler's formula to find the number of vertices.

Show answer

5

Step 1: Use F + V - E = 2. Step 2: Put F = 5 and E = 8. Step 3: 5 + V - 8 = 2. Step 4: V - 3 = 2. Step 5: V = 5. So the number of vertices is 5.

+93 more questions on Representing 3-D in 2-D (ICSE Class 8 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Representing 3-D in 2-D for ICSE Class 8 Mathematics?
Key topics in Representing 3-D in 2-D include Polyhedrons and non-polyhedrons, Pyramids and tetrahedron, Faces, edges, and vertices counts, Euler's formula. Study these first, then practise questions on each for Class 8 exams.
How many practice questions are there for Representing 3-D in 2-D?
There are 97 questions on Representing 3-D in 2-D. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

For serious students

Get the full Representing 3-D in 2-D chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 8 Mathematics. Free to start, no card needed.