Name: Oblique Sketches
Uploaded: 2019-07-19
Duration: 5 min 56 s
Description: Oblique sketching is a pictorial representation of a three-dimensional object in which the diagram intends to depict or portray the perspective of the three-...

Question

Complete the following table:


Faces $(F)$	$6$	$4$
Edges $(E)$	$12$
Vertices $(V)$	$8$	$4$

Accepted Answer

Faces: A face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by faces is a polyhedron.

Vertex: A point where two or more line segments meet. A corner.

Edges: An edge is a particular type of line segment joining two vertices.

Pyramid:

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. It is a conic solid with polygonal base. A pyramid with an $n -$ sided base has $n + 1$ vertices, $n + 1$ faces, and $2 n$ edges.

Given figure is a square based pyramid, also square has four sides. Therefore, number of edges of given figure is $8$ .

Given figure is a cube with one edge has triangle. A Cube is a solid three-dimensional figure, which has $6$ faces, $8$ vertices and $12$ edges. Therefore, in the given figure we can see there are $6 + 1 = 7$ faces, $12 + 3 = 15$ edges and $(V)$ vertices.

Given figure is a cube-based pyramid. We know that, a Cube is a solid three-dimensional figure, which has $6$ faces, $8$ vertices and $12$ edges. Also a square based pyramid has $5$ faces, $5$ vertices and $8$ edges.

Therefore, the given cube-based pyramid has $18$ faces, $20$ edges and $9$ vertices.

Therefore, the completed table is as follows.

Faces $(F)$ $6$ $4$ $18$ $7$

Edges $(E)$ $12$ $8$ $20$ $14$

Vertices $(V)$ $8$ $4$ $9$ $10$

Jammu and Kashmir Board Solutions for Chapter: Visualising Solid Shapes, Exercise 3: DO THIS

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