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Question

Complete the following table by filling the number of faces, the number of faces, the number of edges and the number of vertices for the given solid:

Solid

Number of

faces

Number of

edges

Number of

vertices

Cuboid/Cube
Triangular prism
Hexagonal prism
Triangular pyramid
Square pyramid
Pentagonal pyramid

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Solution

Every individual flat surface of a solid is called its face.

The line segment which acts as an interface between two faces is called an edge. Sometimes it is also described as the line segment joining two vertices.

Vertex is a point where two or more edges meet.

A cuboid and cube has 6faces, 12edges, and 8vertices.

A triangular prism has 5faces, 9edges, and 6vertices.

A hexagonal prism has 8faces, 18edges, and 12vertices.

A triangular pyramid has 4faces, 6edges, and 4vertices.

A square pyramid has 5faces, 8edges, and 5vertices.

A pentagonal pyramid has 6faces, 10edges, and 6vertices.

Hence, the complete table is given below:

Solid

Number of

faces

Number of

edges

Number of

vertices

Cuboid/Cube6128
Triangular prism596
Hexagonal prism81812
Triangular pyramid464
Square pyramid585
Pentagonal pyramid6106

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