All Exams > Class 8 > Mathematics Class 8 ICSE > All Questions
All questions of Representing 3-D in 2-D for Class 8 Exam
What does Euler's formula state for polyhedrons?- a)F + E + V = 2
- b)F + V = E + 2
- c)F - V = E - 2
- d)F - E + V = 2
Correct answer is option 'D'. Can you explain this answer?
What does Euler's formula state for polyhedrons?
a)
F + E + V = 2
b)
F + V = E + 2
c)
F - V = E - 2
d)
F - E + V = 2
 | Get Idea answered |
Euler's formula for polyhedrons is expressed as F - E + V = 2, where F is the number of faces, E is the number of edges, and V is the number of vertices. This relationship helps in verifying the properties of polyhedrons.
What is the shape of the lateral faces of a triangular prism?- a)Rectangles
- b)Hexagons
- c)Squares
- d)Triangles
Correct answer is option 'A'. Can you explain this answer?
What is the shape of the lateral faces of a triangular prism?
a)
Rectangles
b)
Hexagons
c)
Squares
d)
Triangles
| | Get Idea answered |
The lateral faces of a triangular prism are rectangles. A triangular prism consists of two triangular bases and three rectangular lateral faces that connect the bases together.
Which formula can be used to verify the properties of a polyhedron?- a)V + F = E + 1
- b)F + V = E
- c)F - E + V = 2
- d)E - V = F
Correct answer is option 'C'. Can you explain this answer?
Which formula can be used to verify the properties of a polyhedron?
a)
V + F = E + 1
b)
F + V = E
c)
F - E + V = 2
d)
E - V = F
| | Get Idea answered |
The formula F - E + V = 2 is used to verify whether a given set of faces, edges, and vertices corresponds to a valid polyhedron, confirming its geometric structure.
How many vertices does a hexagonal prism have?- a)6
- b)10
- c)12
- d)8
Correct answer is option 'C'. Can you explain this answer?
How many vertices does a hexagonal prism have?
a)
6
b)
10
c)
12
d)
8
| | Get Idea answered |
A hexagonal prism has 12 vertices, which come from the two hexagonal bases (each with 6 vertices) and the connections between the corresponding vertices of the two bases.
How many faces does a cube have?- a)4
- b)6
- c)8
- d)10
Correct answer is option 'B'. Can you explain this answer?
How many faces does a cube have?
a)
4
b)
6
c)
8
d)
10
| | Get Idea answered |
A cube has 6 faces, all of which are square. This uniformity in shape allows for a variety of applications in geometry and real-world structures.
Which of the following shapes is NOT a polyhedron?- a)Cylinder
- b)Pentagonal prism
- c)Cube
- d)Rectangular pyramid
Correct answer is option 'A'. Can you explain this answer?
Which of the following shapes is NOT a polyhedron?
a)
Cylinder
b)
Pentagonal prism
c)
Cube
d)
Rectangular pyramid
| | Get Idea answered |
A cylinder is not a polyhedron because it has curved surfaces, whereas polyhedra are defined by having flat faces and straight edges. All other options listed are polyhedra.
Which of the following describes a net of a solid?- a)A 3-D shape that cannot be unfolded
- b)A type of curved surface
- c)A solid with no edges
- d)A 2-D representation that can be folded into a 3-D shape
Correct answer is option 'D'. Can you explain this answer?
Which of the following describes a net of a solid?
a)
A 3-D shape that cannot be unfolded
b)
A type of curved surface
c)
A solid with no edges
d)
A 2-D representation that can be folded into a 3-D shape
| | Get Idea answered |
A net is a two-dimensional shape that can be folded to form a three-dimensional solid. It shows all the faces of the solid laid out flat, facilitating visualization and calculation of surface area.
In a pentagonal pyramid, how many triangular faces does it have?- a)5
- b)4
- c)8
- d)6
Correct answer is option 'B'. Can you explain this answer?
In a pentagonal pyramid, how many triangular faces does it have?
a)
5
b)
4
c)
8
d)
6
| | Get Idea answered |
A pentagonal pyramid has 5 triangular faces. One face is a pentagonal base, and the other four are triangular sides that connect the vertices of the pentagon to the apex.
How many total faces does a pentagonal prism have?- a)8
- b)6
- c)7
- d)5
Correct answer is option 'C'. Can you explain this answer?
How many total faces does a pentagonal prism have?
a)
8
b)
6
c)
7
d)
5
| | Get Idea answered |
A pentagonal prism has 7 faces: two pentagonal bases and five rectangular lateral faces. This structure is essential for understanding the properties of prisms in geometry.
What is the primary purpose of a net in geometry?- a)To find the surface area of solids
- b)To classify shapes
- c)To measure volume
- d)To create solid shapes
Correct answer is option 'A'. Can you explain this answer?
What is the primary purpose of a net in geometry?
a)
To find the surface area of solids
b)
To classify shapes
c)
To measure volume
d)
To create solid shapes
| | Get Idea answered |
The primary purpose of a net is to help find the surface area of solids by laying out all the faces flat. This visualization aids in understanding the dimensions and calculations required for surface area.
How many faces does a triangular pyramid (tetrahedron) have?- a)5
- b)4
- c)8
- d)6
Correct answer is option 'B'. Can you explain this answer?
How many faces does a triangular pyramid (tetrahedron) have?
a)
5
b)
4
c)
8
d)
6
| | Get Idea answered |
A tetrahedron has 4 faces, all of which are triangular. Each triangular face meets the other faces at the vertices, making it a simple polyhedron with a minimal number of faces.
Which of the following represents a valid use of Euler's formula?- a)F + V = E + 2
- b)F - E + V = 2
- c)F - V = E - 1
- d)F + E = V + 3
Correct answer is option 'B'. Can you explain this answer?
Which of the following represents a valid use of Euler's formula?
a)
F + V = E + 2
b)
F - E + V = 2
c)
F - V = E - 1
d)
F + E = V + 3
| | Get Idea answered |
The correct representation of Euler's formula is F - E + V = 2. This formula is fundamental in topology and helps in classifying different types of polyhedra.
Which polyhedron has 8 faces, 12 edges, and 6 vertices?- a)Pentagonal prism
- b)Cube
- c)Hexagonal prism
- d)Triangular prism
Correct answer is option 'C'. Can you explain this answer?
Which polyhedron has 8 faces, 12 edges, and 6 vertices?
a)
Pentagonal prism
b)
Cube
c)
Hexagonal prism
d)
Triangular prism
| | Get Idea answered |
A hexagonal prism consists of 8 faces (2 hexagonal bases and 6 rectangular lateral faces), 12 edges, and 12 vertices. This structure highlights the properties of prisms and their base shapes.
A rectangular pyramid has how many vertices?- a)4
- b)6
- c)8
- d)5
Correct answer is option 'D'. Can you explain this answer?
A rectangular pyramid has how many vertices?
a)
4
b)
6
c)
8
d)
5
| | Get Idea answered |
A rectangular pyramid has 5 vertices: one at the apex and four at the corners of the rectangular base. This configuration supports the unique shape of the pyramid.
What is the number of edges in a tetrahedron?- a)6
- b)8
- c)4
- d)12
Correct answer is option 'A'. Can you explain this answer?
What is the number of edges in a tetrahedron?
a)
6
b)
8
c)
4
d)
12
| | Get Idea answered |
A tetrahedron has 6 edges. These edges connect the 4 vertices of the tetrahedron, forming the framework that defines its triangular faces.
What is a polyhedron?- a)A 3-D shape with flat faces and straight edges
- b)A 3-D shape with curved surfaces
- c)A 2-D shape with only straight lines
- d)A shape that cannot be folded
Correct answer is option 'A'. Can you explain this answer?
What is a polyhedron?
a)
A 3-D shape with flat faces and straight edges
b)
A 3-D shape with curved surfaces
c)
A 2-D shape with only straight lines
d)
A shape that cannot be folded
| | Get Idea answered |
A polyhedron is defined as a three-dimensional shape that has flat polygonal faces and straight edges. Examples include cubes, pyramids, and prisms, which differ from shapes like spheres and cones that feature curved surfaces.
A rectangular pyramid has how many faces?- a)6
- b)5
- c)8
- d)4
Correct answer is option 'B'. Can you explain this answer?
A rectangular pyramid has how many faces?
a)
6
b)
5
c)
8
d)
4
| | Get Idea answered |
A rectangular pyramid consists of 5 faces: one rectangular base and four triangular lateral faces. This structure demonstrates how different shapes can form a complex 3-D object.
Which of the following shapes has the highest number of faces among the options?- a)Triangular pyramid
- b)Cube
- c)Tetrahedron
- d)Hexagonal prism
Correct answer is option 'D'. Can you explain this answer?
Which of the following shapes has the highest number of faces among the options?
a)
Triangular pyramid
b)
Cube
c)
Tetrahedron
d)
Hexagonal prism
| | Get Idea answered |
The hexagonal prism has the highest number of faces among the options, with a total of 8 faces (2 hexagonal bases and 6 rectangular lateral faces). This variety allows for more complex geometric properties.
What is the total number of edges in a cuboid?- a)10
- b)8
- c)14
- d)12
Correct answer is option 'D'. Can you explain this answer?
What is the total number of edges in a cuboid?
a)
10
b)
8
c)
14
d)
12
| | Get Idea answered |
A cuboid has 12 edges, which are formed by the intersection of its rectangular faces. Each edge corresponds to the connection between two vertices.
Which statement is true regarding the edges of a cube?- a)A cube has 8 edges
- b)A cube has 6 edges
- c)A cube has 12 edges
- d)A cube has no edges
Correct answer is option 'C'. Can you explain this answer?
Which statement is true regarding the edges of a cube?
a)
A cube has 8 edges
b)
A cube has 6 edges
c)
A cube has 12 edges
d)
A cube has no edges
| | Get Idea answered |
A cube has 12 edges, which connect the vertices of its 6 square faces. The edges form the framework of the cube, allowing it to maintain its 3-D structure.
Chapter doubts & questions for Representing 3-D in 2-D - Mathematics Class 8 ICSE 2026 is part of Class 8 exam preparation. The chapters have been prepared according to the Class 8 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 8 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of Representing 3-D in 2-D - Mathematics Class 8 ICSE in English & Hindi are available as part of Class 8 exam. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Mathematics Class 8 ICSE23 videos|98 docs|14 tests |
