Mathematics - Surface Areas and Volumes - Bundled/Compiled Geometry

Hello Guys,

Most of the students find difficulty in this topic as they are not able to visualize the shape or the object properly. There is also too much confusion related to the formulas too, as there are too many of them in this topic.

In real life we come across different objects which are a combination of many shapes like cube cuboid, cylinder, sphere, cone etc. In our previous topics we have seen how to find the areas and volumes of simple objects. Now we will look at a few examples on how to find the areas and volumes of combination of solids.

We have come up with a variety of videos related to the shapes mentioned below.

These videos will help you to understand and visualize everything in an easy and simple manner.
This video is a compiled session of 8 videos which covers:

1. Cube, Cuboid and Cylinder
2. Cone and Frustum
3. Sphere and Hemisphere
4. Combination of solids

Surface Area: It is the sum of total exposed area of a three dimensional solid object. Its unit can be in the form cm2, m2 etc
Volume: It is the amount of space occupied by an object. Its unit can be cm3, m3, etc.

Cuboid: A cuboid is the solid shape which has six rectangle faces at right angles to each other.

Cube: A cube is a special form of cuboid which is bounded by six equal square faces.

Right Circular Cylinder: A solid obtained by revolving a rectangular lamina about one of its sides, is called as Right Circular Cylinder.

Cone: A cone is a three-dimensional geometric shape that tapers smoothly from a flat circular base to a point called vertex.
We can also define it as, “A solid obtained by revolving a right angled triangular lamina about any side (except hypotenuse) is a right circular cone.”

Frustum: If the cone is cut off by a plane parallel to the base not passing through vertex then we get the lower base portion as a frustum of cone.

Sphere: A solid obtained by revolving a circular lamina about any of its diameter is called a sphere.
We can also define it as, “The set of all points in space which are equidistant from a fixed point.”

Hemisphere: A plane passing through the center of a sphere divides sphere into two equal parts. Each part is called a hemisphere.

All these videos are also available individually, also check them out.

Surface Area of Cube, Cuboid and Cylinder

Surface Area of Sphere and Hemisphere

Surface Area and Volume of Cone and Frustum

Volume of a Sphere and Hemisphere

Amazing Tricks to understand Surface Areas and Volumes

Activity video for Surface area of Cylinder.

We also have a booklet for the same. The booklet again gives a quick glance about everything with a variety of questions to solve and study.
Assessments and Documents:

Surface Area and Volumes
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