Representing 3D in 2D Quiz - ICSE Class 8 Mathematics

Free practice quiz: Representing 3D in 2D (ICSE Class 8 Mathematics). 21 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. A triangular prism has how many faces?

   1. 5
   2. 6
   3. 7
   4. 8
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   Answer: A. 5

   A triangular prism has two triangular bases and three rectangular faces connecting them. Therefore, it has a total of 2 + 3 = 5 faces.

2. Which of the following nets is NOT a valid net for a square pyramid?

   1. A square with four triangles attached to its sides.
   2. A net formed by unfolding the pyramid such that the base is in the center and four triangles radiate outwards.
   3. A net consisting of five identical squares arranged in a 'plus' sign shape.
   4. A net consisting of a square and four triangles attached to the sides of the square.
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   Answer: C. A net consisting of five identical squares arranged in a 'plus' sign shape.

   A square pyramid has one square base and four triangular faces. The first three options represent valid nets. A net of five identical squares arranged in a 'plus' sign shape would form a cube (if the squares were arranged correctly in a net) or an open box, not a pyramid.

3. How many edges does a cube have?

   1. 8
   2. 10
   3. 12
   4. 16
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   Answer: C. 12

   A cube has 12 edges. These are the lines where the square faces meet. It has 8 vertices (corners) and 6 faces.

4. Which of these nets can be folded to form a triangular pyramid (tetrahedron)?

   1. A net with four identical squares.
   2. A net with three triangles in a row and one attached to the middle one.
   3. A net with four triangles, where three form a larger triangle and the fourth is attached to one side.
   4. A net with a rectangle and three triangles.
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   Answer: C. A net with four triangles, where three form a larger triangle and the fourth is attached to one side.

   A tetrahedron has four triangular faces. A common net consists of three triangles arranged to form a larger triangle (representing the base and two sides), with the fourth triangle attached to one edge to form the apex when folded.

5. How many faces does a regular octahedron have?

   1. 6
   2. 8
   3. 10
   4. 12
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   Answer: B. 8

   A regular octahedron is a Platonic solid composed of 8 equilateral triangular faces. Its name derives from the Greek word 'okto' meaning eight.

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