Maths Class 10 Chapter 13: Surface Areas and Volumes

Maths Class 10 Chapter 13: Surface Areas and Volumes


Important Concepts and Formulas

1.      We can find the surface area of an object formed by combining any two of the basic solids, namely, cuboid, cube, cone, cylinder, sphere and hemisphere. We can add the surface areas of all the solids from which it is formed.

To know the basic formulas of surface areas of different solids ----- Click Here!

2.      To find the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere, we can add the volumes of the objects by which it is formed.

 To know the basic formulas of volumes of different solids ----- Click Here!

3.      From a right circular cone, which is sliced through by a plane parallel to its base, if the smaller conical portion is removed, the resulting solid is called a frustum of a right circular cone.

4.      The formulas involving the frustum of a cone are as follow:

5.      Volume of a frustum of a cone is given by:


6.      Curved surface area of a frustum of a cone = πl(r1 + r2), where l is given by:


7.      Total surface area of frustum of a cone = πl(r1 + r2) + π(r12 + r22), where                           
       h = vertical height of the frustum, l = slant height of the frustum, r1 and r2 are radii of the two bases (ends) of the frustum.

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