Profile
Settings
Refer your friends
Sign out
Have you ever faced any confusion in these two terms i.e., Area and Volume
You might have come across many 3D or 2D figures in your life. Like a water bottle, A washing machine, a bag, a rectangle, a circular playground, etc. These all things cover some area and have a volume. 2D figures have area, whereas volume is occupied by 3D figures only.
These two terms seem the same, but these are totally different things. Let’s have a look below at the definition of these terms.
Area
The area is described as the region covered by two-dimensional figures. The area of different figures depends on their dimensions. A unit of area is a square unit of length.
Some examples of 2D Figures are circles, triangles, squares, rectangles, parallelograms, pentagons, hexagons, and so on.
Volume
Volume is described as three-dimensional shapes. For each three-dimensional figure, including sphere, cube, cuboid, cylinder, cone, etc., the volume is different. It is measured in a cubic unit of length.
Now that you have seen the definitions of area and volume, some points about area and volume get cleared in your mind, for removing remaining confusion in your mind, the difference between area and volume is given below.
Difference between Area and Volume
AREA | VOLUME | |
The area is the region occupied by any two- dimensional shape. | Volume is the region occupied by any three–dimensional shape. | |
The area is calculated always for only two – dimensional figures. | And, volume is calculated only for three–dimensional figures. | |
A unit of area is a square unit of length (Length)2. | A unit of volume is a cubic unit of length i.e., (length)3. |
How will you calculate the area or volume of any given figure
We can calculate the area or volume of any of the shapes. If we know the formula for basic figures like square, circle, rectangle, cube, cuboid, cylinder, etc.
Following tables are given with the formula of area or volume of some basic two – dimensional or three–dimensional figures.
Areas of two – dimensional shape
S. No. | Shape | Area |
1 | Circle | R2 (R = radius) |
2 | Semicircle | 12 R2 ( R= radius) |
3 | Triangle | 12 × base × height |
4 | Square | (Side)2 |
5 | Rectangle | Length × Width |
6 | Parallelogram | Base × Height |
7 | Rhombus | Side × Height |
8 | Trapezoid | 12 ×(Sum of parallel side) × height |
The volume of three – dimensional shape
S. No. | Shape | Volume |
1 | Cube | (Side)3 |
2 | Cuboid | Length × Width × Height |
3 | Sphere | (43) R3 |
4 | Hemisphere | 23 (R3) |
5 | Cylinder | R2H |
6 | Cone | 13 (R2H) |
7 | Prism | Area of Base × Height |
Examples
Find the area of the circle having a diameter of 14 cm.
Sol. : Diameter = 14 cm
Radius (R) = Dia2
R = 142
R = 7 cm
Area of circle = R2
= 227 × 7 × 7
= 22 × 7
= 154 cm2
Find the volume of a water tank which is in cuboidal shape having dimensions 10 × 5 × 5 cm.
Sol. L = 10 cm
B = 5 cm
H = 5 cm
Volume of cuboid = L × B × H
= 10 × 5 × 5
= 250 cm3
The volume of the water tank is 250 cm3.
Find the volume of the sphere of radius of 21 cm.
Sol. R = 9 cm
Volume of Sphere = (43) R3
= 43 × 227 × 21 ×21 ×21
= 43 × 227 × 3 × 7 × 21 × 21 ( write 21 in its factors form, to simplify the problem)
= 4 × 22 × 21 × 21
= 38,808 cm3
Find the area of rhombus having length of side 5 cm and height 4 cm.
Sol.
Area = Side × Height
= 5 × 4
= 20 cm2.
