Scientists across the globe adopted an international unit of measurements(S.I.) to improve communication.
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Here in this section, we will discuss Measurement of Volume and Density, calculation of speed, and Measurement of area of any given object.
Volume is defined as the quantity of space occupied by an enclosed object. In this section, we will see how the volume of different things is measured.
Few of the real-life applications are,
Volume of a solid object
Consider you have a tangible object whose volume needs to be determined. It can be found by multiplying its length, width, and height.
So, the volume of any solid object= length X breadth X height
Now, consider finding the volume of a cube.
In this case of cube, length=breadth=height=l
So, Measurement of Volume for cube = l3
Thus the standard unit of volume of any solid object is a cubic meter or m3.
Volume of any liquid
Liquids are physical quantities that do not have a definite shape. Thus, a measuring cylinder is used to measure the volume of any liquid. A measuring cylinder is a glass cylinder with
markings on the sidewall. You need to pour the liquid and take the reading once it comes to rest.
Suppose Arjun and Seema have participated in a 200m race competition in school. Arjun takes 200 seconds, while Seema takes 400 seconds to finish the race. Can you tell me who runs faster?
Here, in this section, you will get an answer to this question.
What is speed?
Speed finds out how fast or how slow an object is moving. It is defined as the distance covered by any object in unit time. Suppose a bike covers a distance of 100 km in 1 hour, then we can say its speed is 100km per hour.
Speed = Total distance covered(d)/Total time taken(t)
he SI unit of speed is meters/second or m/s. It is measured using a speedometer.
Now let us consider our previous example and calculate the speed for them.
Speed of Arjun=200/200= 1 m/s
Speed of Seema=200/400= 0.5 m/s
Thus, we can say that Arjun runs faster than Seema.
An object covers the maximum distance in a given time when it is travelling at the highest speed. Also, the same thing will cover the minimum distance when it is travelling at the lowest speed.
The area is the space occupied by a closed two-dimensional object. In other words, it is the number of squares occupied by a closed flat figure.
In a real-life scenario, we measure the area of the wall to find out the expenses that we might have to bear to paint that wall.
S.I. unit of area is a square meter or m2.
Measurement Of Area Of A Regular Shaped Body
A regularly shaped body or a regular solid is a type of object with a fixed geometrical shape like a plate, compass box, book, etc.
Measurement Of Area Of A Regular Shaped Body using formula gives,
Area of a square = l2, where l is the length
Area of a rectangle=l X b, where l=length and b=breadth
Area of a circle = πr2, where r=radius of circle
Area of a triangle=1/2 x b x h , where b=breadth and h=height
Consider a wooden ball and a brass ball of equal sizes, i.e., same volumes. Now can you tell which is heavier? Yes, the brass ball is heavier than the wooden ball as it has more mass. Thus, Density is defined as mass per unit volume.
A simple example, where a rock sinks in a glass of water, indicates it is denser than water.
S.I. unit of Density is kg/m3.
For Measurement of Density of Regular solid, we would need,
Volume of a cube = (length)3
Volume of a cuboid = length X breadth X height
Volume of a cylinder = π r2h , where r= radius and h=height of the cylinder
Volume of a sphere= 4/3 π r3, where r is radius of the sphere
Physical quantities and Measurement are expressed using standardized units. Volume is the space occupied by a three-dimensional object, whereas area is the space occupied by two-dimensional objects. An item with a higher density is densely packed as compared to the other things. We increase the vehicle’s speed when there is less traffic and decrease its speed during high traffic.
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