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Transcript
00:00Hi kids! Today we will learn about volume and capacity. So let's get started.
00:10Volume of an object is the amount of liquid it can contain or displace.
00:17The volume of a container is a measure of how much liquid it can hold.
00:24It is also known as the capacity of the container.
00:29In metric system, volume is mostly measured in liters or milliliters.
00:37Now let's see what is a unit cube and what is its volume.
00:44A cube where each edge measures one centimeter is called a unit cube.
00:51Now let's find its volume.
00:54We can calculate its volume with a simple formula, which is length multiplied by breadth multiplied by height.
01:05Here, length, breadth, and height all are one centimeter.
01:12So its volume will be volume equals 1 multiplied by 1 multiplied by 1 equals 1.
01:22And volume is measured in cubic units.
01:26So its volume is 1 centimeter cubed.
01:31We learned a unit cube is a cube with length, width, and height equals 1 centimeter.
01:41And its volume is 1 centimeter cubed.
01:45Now let's see what is the capacity of the same cube.
01:50A unit cube can hold 1 milliliter of liquid.
01:55So capacity of unit cube is 1 milliliter.
02:001 centimeter cubed equals 1 milliliter.
02:05So a unit cube has capacity of 1 milliliter and volume is 1 centimeter cubed.
02:14So kids, now we know that volume of a unit cube is 1 centimeter cubed.
02:22Now we will be using unit cubes to show the capacity and volume of various solid objects, which are made up of unit cubes.
02:34Here we have a figure, which is made up of all unit cubes.
02:40We have to find out its volume and capacity.
02:44For that, first of all, we will find out it is made up of how many unit cubes?
02:52Let's see.
02:54Three cubes at bottom and one above.
02:58So it's made up of four unit cubes.
03:02So its volume is equal to the volume of four unit cubes.
03:08So the volume of this figure is 4 multiplied by volume of a unit cube.
03:15And we know volume of a unit cube is 1 centimeter cubed.
03:21So volume of this figure is 4 multiplied by 1.
03:27That is 4 centimeter cubed.
03:31And its capacity is equal to capacity of four unit cubes.
03:37And the capacity of one unit cube is 1 milliliter.
03:43So the capacity of this figure is 4 milliliters.
03:48Now, let's take another example.
03:52Now let's find out the volume of figure A, which is made up of all unit cubes.
03:59So kids, we need to find out number of unit cubes used to make the figure A to find its volume.
04:09Let's find it out.
04:12Figure A has two rows of four unit cubes each.
04:17So figure A is made up of eight unit cubes.
04:22And volume of one unit cube is 1 centimeter cubed.
04:28So volume of figure is 8 multiplied by 1 equals 8 centimeter cubed.
04:35Similarity, capacity of this figure A is also 8 milliliters.
04:41As capacity of each unit cube is 1 milliliter.
04:46So volume and capacity are same, but units are different.
04:52And to calculate the volume and capacity of solid objects, which are made up of unit cubes,
04:59we just need to know the number of unit cubes there in the figure.
05:05And its volume and capacity is same as the number of unit cubes it is made up of.
05:12So kids, now you may go ahead and take a quiz to learn more.
05:17Bye-bye.