Surface Area And Volume


Surface area can be defined as total area of faces and curved surface of solid objects or 3 dimensional objects. Square is the unit of area. For example: In case of cube the surface area is 6 * (edge length)2;
The capacity of a three dimensional object is known as volume. Cube is the unit of volume.
There are different shapes in the 3 dimensional geometry such as: Cube, Sphere, cuboid etc:
We can easily calculate the surface area and volume of these 3 dimensional shapes with help of formulas:
Surface area of cube = 6a2;
Volume of a cube = s3;
In case of sphere:
Surface area of sphere = 4⊼r2;
Volume of a sphere = 4 / 3 ⊼r3;
We use these formulas for calculation of surface area and volume of 3 dimensional shapes.
Now we will see how to find the surface areas and volumes of different figures?

To find surface area and volume of a cone we follow some steps which are given below:
Step 1: - First we find radius of base of cone.
Step 2: - Now we find area of base of cone which is a circle.
Step3: - Then we measure the side of cone for finding the area of cone. Its area is 3.14 times more the radius of the side (⊼rl).
We can see that surface area of cone is equals to area of circle and area of cone. Formula for surface area of cone is:
SA = ⊼r2 + ⊼rl,
'R' denotes the radius;
'H' denotes the height of cone;
And 'l' is slant height of cone.

Now we will see how to find the volume of a cube:
We know that the number of cubical units that is exactly filled in a cube is volume of a cube.
Now we will see some steps for finding the volume of a cube:
Step 1: First we find the length of one side of cube.
Step 2: We know that all sides of cube are equal.
Step 3: So if we have one side's length then we can find volume of cube;
The volume of a cube is s3;
Where ‘s’ is the length of one edge of cube;
Suppose we have length of one side of cube which is 8 inch, then we can find volume of cube as shown below:
Volume of a cube = s3;
S = 8 inch;
So volume = (8)3;
Volume = 8 * 8 * 8;
Volume = 512 inch3;
So volume of cube is 512 inch3.
This is how we find volume and surface area of different figures.

Topics Covered in Surface Area And Volume

Solids and Their Surface Areas

The bodies occupying space are called solids, such as a cuboid, a cube, a cylinder, a cone, a sphere, etc.  These solids have plane or curved surfaces.

Surface Area of a Cuboid and A Cube

The outer surface of a cuboid is made up of six rectangles.  If we take the length of the cuboid as l, breadth as b and the height as h, then
Surface area of a cuboid = 2[lb + bh + hl]
Let us recall that ...Read More

Math Topics