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Volume And Capacity - Introduction
GenX-Education
Follow
7/31/2024
Category
📚
Learning
Transcript
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00:00
Hi kids! Today we will learn about volume and capacity. So let's get started.
00:10
Volume of an object is the amount of liquid it can contain or displace.
00:17
The volume of a container is a measure of how much liquid it can hold.
00:24
It is also known as the capacity of the container.
00:29
In metric system, volume is mostly measured in liters or milliliters.
00:37
Now let's see what is a unit cube and what is its volume.
00:44
A cube where each edge measures one centimeter is called a unit cube.
00:51
Now let's find its volume.
00:54
We can calculate its volume with a simple formula, which is length multiplied by breadth multiplied by height.
01:05
Here, length, breadth, and height all are one centimeter.
01:12
So its volume will be volume equals 1 multiplied by 1 multiplied by 1 equals 1.
01:22
And volume is measured in cubic units.
01:26
So its volume is 1 centimeter cubed.
01:31
We learned a unit cube is a cube with length, width, and height equals 1 centimeter.
01:41
And its volume is 1 centimeter cubed.
01:45
Now let's see what is the capacity of the same cube.
01:50
A unit cube can hold 1 milliliter of liquid.
01:55
So capacity of unit cube is 1 milliliter.
02:00
1 centimeter cubed equals 1 milliliter.
02:05
So a unit cube has capacity of 1 milliliter and volume is 1 centimeter cubed.
02:14
So kids, now we know that volume of a unit cube is 1 centimeter cubed.
02:22
Now we will be using unit cubes to show the capacity and volume of various solid objects, which are made up of unit cubes.
02:34
Here we have a figure, which is made up of all unit cubes.
02:40
We have to find out its volume and capacity.
02:44
For that, first of all, we will find out it is made up of how many unit cubes?
02:52
Let's see.
02:54
Three cubes at bottom and one above.
02:58
So it's made up of four unit cubes.
03:02
So its volume is equal to the volume of four unit cubes.
03:08
So the volume of this figure is 4 multiplied by volume of a unit cube.
03:15
And we know volume of a unit cube is 1 centimeter cubed.
03:21
So volume of this figure is 4 multiplied by 1.
03:27
That is 4 centimeter cubed.
03:31
And its capacity is equal to capacity of four unit cubes.
03:37
And the capacity of one unit cube is 1 milliliter.
03:43
So the capacity of this figure is 4 milliliters.
03:48
Now, let's take another example.
03:52
Now let's find out the volume of figure A, which is made up of all unit cubes.
03:59
So kids, we need to find out number of unit cubes used to make the figure A to find its volume.
04:09
Let's find it out.
04:12
Figure A has two rows of four unit cubes each.
04:17
So figure A is made up of eight unit cubes.
04:22
And volume of one unit cube is 1 centimeter cubed.
04:28
So volume of figure is 8 multiplied by 1 equals 8 centimeter cubed.
04:35
Similarity, capacity of this figure A is also 8 milliliters.
04:41
As capacity of each unit cube is 1 milliliter.
04:46
So volume and capacity are same, but units are different.
04:52
And to calculate the volume and capacity of solid objects, which are made up of unit cubes,
04:59
we just need to know the number of unit cubes there in the figure.
05:05
And its volume and capacity is same as the number of unit cubes it is made up of.
05:12
So kids, now you may go ahead and take a quiz to learn more.
05:17
Bye-bye.
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