Page 222 - Maths Skills - 7
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220 Maths
MIND MAP
Visualising Solid Shapes
“Solids are three dimensional objects which have faces, vertices and edges”
Face Face
A plane surface enclosed by an edge.
Vertex
A point where three surfaces meet.
Edge Edge
The intersection of two adjacent surfaces of solid. Vertex
Name of Solid No. of Faces No. of Vertices No. of Edges
Cube 6 8 12
Cuboid 6 8 12
3
Cylinder None 2
[2 flat, 1 curved]
Verification Through
Sphere 1 (curved) None None Euler's Formula
V + F –E = 2
2
Cone [1 flat, 1 curved] 1 1 Where, V No. of vertices
E No. of edges
5
[2 triangular, 3 6 9 F No. of faces
Prism
rectangular]
Square 5
Pyramid [4 triangular, 1 square] 5 8
Triangular 4 (triangular) 4 6
pyramid