Faces, Edges and Vertices
Faces, Edges and Vertices: Overview
This topic contains concepts like Polyhedrons, Difference between Polyhedrons and Non-Polyhedrons, Surfaces of Non-Polyhedrons and Elements of a Polyhedron.
Important Questions on Faces, Edges and Vertices
A rectangular prism has faces, edges and vertices.

A rectangular prism is also known as cube.

FInd the volume of a box in which is in the shape of a rectangular prism whose length, breadth and height is given by

Cube is an example of non-polyhedron.

If all the faces are not polygons, then the figure is a non-polyhedron.

Non-Polyhedrons are solids that have at least one _____face.

Which of the following is a polyhedron?

Cuboid is an example of polyhedron and sphere is an example of non-polyhedron.

A cylinder is a polyhedron and pentagonal prism is a non-polyhedron.

A cube is a polyhedron and cone is a non-polyhedron.

Differentiate between polyhedron and non-polyhedrons.

Sphere is an example of polyhedron.

Which among the following is a non-polyhedron?

How many litres of water a tank can occupy which is in the shape of a rectangular prism whose length, breadth and height is given as , and

Arun has a chocolate box whose shape resembled that of a rectangular prism whose length is , height is and width is . Find the volume of the box in

Tabulate the number of faces, edges and vertices for the following polyhedrons, Here stands for number of vertices, stands for number of faces and stands for number of edges. What do you infer from the last two columns?
Solid | |||||
Cuboid | |||||
Triangular pyramid | |||||
Triangular prism | |||||
Pyramid with square base | |||||
Prism with square base |

The number of vertices in a rectangular prism is _____. (Write the answer in numeral)

Icosahedron has 20 faces and 30 edges. The number of vertices for the icosahedron will be _____

What will be the number of faces, edges and vertices of a pyramid whose base is a polygon of N sides ?

Can a simple solid have 6 edges and 7 vertices? Verify using Euler’s formula.
