LearnNext
The self-learning module of TeachNext
Phone Icon 1800-419-1234 (Toll Free)

Visualising Solid Shapes

Summary

LearnNext Lesson Video

HD 12:15 Animated video Lecture for Visualising Solid Shapes

Three dimensional objects or solids generally have length, breadth and height. Three dimensional objects look different from different locations or angles.

Polyhedron
A polyhedron is a solid shape bounded by polygons whereas non-polyhedrons do not have polygon shaped faces.

Faces
Polygons forming a polyhedron are known as its faces.


Edges
Line segments common to intersecting faces of a polyhedron are known as its edges.

Vertices
Points of intersection of edges of a polyhedron are known as its vertices.

Reguler polyhedron
A polyhedron is said to be regular if its faces are made up of regular polygons and the same number of faces meet at each vertex.

Irregular polyhedron
An irregular polyhedron is made of polygons whose sides and angles are not of equal measure.
Cubes, cuboids, prisms, and pyramids are few examples of polyhedrons. Spheres, cones and cylinders are a few examples of non-polyhedrons.

Three dimensional objects, solids, polyhedron, non-polyhedrons, irregular polyhedron, concave polyhedron, convex polyhedron, polygons, regular polygons, concave polygons, polygonal regions, Euler�s formula, face, edge, vertex, Prisms, pyramids


F + V = E + 2 is known as Euler’s formula and it holds true for any polyhedron. Here F stands for faces, V for vertices and E for the edges of the polyhedron.

Three dimensional objects, solids, polyhedron, non-polyhedrons, irregular polyhedron, concave polyhedron, convex polyhedron, polygons, regular polygons, concave polygons, polygonal regions, Euler�s formula, face, edge, vertex, Prisms, pyramids

Convex polyhedron
In a convex polyhedron, the line segment joining any two points on the surface of the polyhedron lies entirely inside or on the polyhedron.

Concave polyhedron
A polyhedron some of whose plane sections are concave polygons is known as a concave polyhedron. Concave polygons have at least one interior angle greater than 180° and has some of its sides bent inward.


Three dimensional objects, solids, polyhedron, non-polyhedrons, irregular polyhedron, concave polyhedron, convex polyhedron, polygons, regular polygons, concave polygons, polygonal regions, Euler�s formula, face, edge, vertex, Prisms, pyramids

Prism
A prism is a polyhedron with parallel congruent polygon bases and sides made of parallelograms.

Pyramids
A pyramid is a polyhedron whose base is a polygon of any number of sides and whose lateral faces are triangles with a common vertex.

Prisms and pyramids are named after the shape of their base.
Maps represent the location of a place or object in relation to other places or objects.

Three dimensional objects, solids, polyhedron, non-polyhedrons, irregular polyhedron, concave polyhedron, convex polyhedron, polygons, regular polygons, concave polygons, polygonal regions, Euler�s formula, face, edge, vertex, Prisms, pyramids

Videos

Questions & Answers

1 . Verify Euler’s formula for the figure given below:
Recall the Euler’s formula, F + V = E + 2
From the given figure, we have
Number of faces, F = 12
Number of vertices,...
2 . Verify the Euler’s formula for a triangular prism.
Consider the triangular prism shown

Recall the Euler’s formula, F + V = E + 2
Here number of faces, F = 5
N...
3 . Names of five distinct polyhedrons
Please go through the following path to understand polyhedrons effectivley.

http://www.learnnext.com/CBSE-Class-VIII-Maths/L...
4 . Why are triangular shapes used while constucting towers,
It is not necessary that we should use triangles while constructing towers or bridges or houses etc.
5 . what is a prism
The prism is type of glass has cogruent all sides, the light passes from prism it's curve in 20 0 to 40 0 degree bec...