Page 215 - Maths Skills - 7
P. 215
Visualising Solid Shapes 213
Let us summarise in a tabular form.
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]
Sphere 1 curved None None
2
Cone 1 1
[1 flat, 1 curved]
Prism 5
[2 triangular, 6 9
3 rectangular]
5
Square [4 triangular, 5 8
Pyramid 1 square]
Triangular 4 triangular 4 6
Pyramid
EULER'S FORMULA
Euler gave a distinct formula for all the solids called Euler's formula
V + F – E = 2
Where V represents the number of vertices, F the number of faces and E the number of edges of a given solid.
Try to verify it for all the solid shapes given in the above table.