Faces, Edges and Vertices

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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

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A rectangular prism has 8 faces, 10 edges and 10 vertices.

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A rectangular prism is also known as cube.

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FInd the volume of a box in m3which is in the shape of a rectangular prism whose length, breadth and height is given by 8 m,7 m,6 m

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Cube is an example of non-polyhedron.

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

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Non-Polyhedrons are 3-D solids that have at least one _____face.

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Which of the following is a polyhedron?

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

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

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

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Differentiate between polyhedron and non-polyhedrons.

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Sphere is an example of polyhedron.

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Which among the following is a non-polyhedron?

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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 6 m3 m and 4 m

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Arun has a chocolate box whose shape resembled that of a rectangular prism whose length is 6 m, height is 2 m and width is 4 m. Find the volume of the box in (m3)

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Tabulate the number of faces, edges and vertices for the following polyhedrons, (Here V stands for number of vertices, F stands for number of faces and E stands for number of edges). What do you infer from the last two columns?

Solid F V E F+V E+2
Cuboid          
Triangular pyramid          
Triangular prism          
Pyramid with square base          
Prism with square base          

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

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

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

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