# Surface Area and Volume

May 19, 2022, 16:45 IST

## About Surface Area and Volume

The basic concept behind Surface area and volume is that it is calculated for any three-dimensional geometrical shape. The surface area can be defined as area covered or actual region covered by the surface of any given object. Whereas volume is the amount of space available in an object.Do solve NCERT Exercise with the use of NCERT Solutions.

### Examples on Surface Area and Volume

Example 1: Find the surface area of a cuboid whose sides are 3cm by 6cm by 10cm.

Solution:

Surface area of the cuboid is given by:

TSA = 2 (16*4 + 14*10 + 10*16)

TSA = 2(3 x 6 + 6 x 10 + 3 x 10)

TSA = 2(18 + 60 + 30)

TSA = 216 cm2

Example 2 Calculate the volume of a cylinder if r = 2.5 cm and h = 4.5 cm

Solution: Volume of the cylinder = π × r2× h

Volume of the cylinder = 3.14 × (2.5)2× 4.5

Volume of the cylinder = 3.14 × 6.25 × 4.5

Volume of the cylinder = 3.14 × 26.5625

Volume of the cylinder = 83.40625 cm3

### Frequently Asked Questions on Surface Area and Volume

Question 1: A marble (shaped as a sphere) has a diameter of 1cm. What is the volume of the marble?

Solution: V = π × d3/6

V = π ×13/6

V = 0.5236

V = 0.52

So the volume of the marble is: 0.52 cm3. Do solve more Questions based on surface area and volume