There are still many mathematical mysteries about volume, waiting for our classmates to discover and explore. Here is an article about math diary's volume. Welcome to read it!

Math diary 1 On Volume Do you know what a volume is? I don't think you know, let me tell you! Volume is: the size of the space occupied by an object is called the volume of the object. The unit of volume is usually: cubic meter, cubic centimeter, cubic decimeter, expressed in letters: m, cm, DM.

How big is 1 cubic centimeter? In our daily life, many objects are 1 cubic centimeter, such as dice, cubes and so on. To be precise, the volume of a small cube with a length of 1 cm is 1 cm. How big is 1 cubic decimeter? 1 cubic decimeter is a cube with a side length of 1 decimeter. In daily life, there are many things 1 cubic decimeter, such as chalk boxes and Rubik's cubes. How big is 1 m3? The volume of a cube with a side length of 1 m is 1 m3. The box and cabinet of TV set in life is about 1 m3.

There are many mysteries about volume, waiting for us to discover and explore.

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Math diary 2 About size Today, my parents and I went to the river to play. My father found a strange stone and said to me: You have just learned cubes and cuboids, and now you have applied what you have learned. Can you tell me the volume of this stone? Dad, you really don't understand the situation. We are learning the volume of cuboids and cubes. This stone is not a cuboid or a cube. How do I calculate its volume? Is there nothing you can do? Dad said solemnly.

Look at dad's eyes, I know there must be a good way! But what is the solution? Ask dad lest he laugh at me. In order not to let my father look down on me, I have to calm down and think about it.

My eyes can't help but stay on the fish tank at home. ? Got it! ? I got up and ran to the bathroom, took out a big basin and a fishing net, filled the basin with water, and scooped all the fish in, leaving only an empty fish tank filled with two-thirds of water.

? What are you doing? I told you to turn up the volume, not to play with goldfish! ? Dad looked at me puzzled. ? Am I not begging? It will be done in 5 minutes at most! ? I smiled mysteriously and continued to move.

? Listen, dad. This fish tank is a cuboid with a length of 6 centimetres and a width of 4 centimetres. Now the water depth in it is 2 decimeters, which is 6? 4? 2=48 square decimeters. I'm going to put this stone in now. ? With that, I picked up the stone and put it in.

? Look, now the water level has risen by 0.2 decimeter! ? I said proudly, measuring the water level with a ruler.

? So what? Dad pretended to be calm.

? So the volume of this stone is 6? 4? 0.2=4.8 square decimeter! ? I am proud to say.

I continued:? Because the stone is completely immersed in the fish tank, the volume of the fish tank is equal to the volume displaced by immersion in water, and it is also equal to the volume of water in the fish tank increased by the stone sinking into the water and the water level rising. This is actually equal product transformation. ?

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Math diary 3 About the size After dinner, it's time to eat fruit. I looked at the lovely red apple and suddenly had a question: how to calculate the size of the apple?

I asked my father: Dad, apples are irregular objects. How to calculate its volume?

Dad smiled and found a transparent plastic box filled with water. The cuboid container in Dad's hand is 15CM long, 10CM wide and 10CM horizontal. You calculate, what is the volume of this cuboid?

So, I calculated: 15? 10? 10= 150? 10= 1500 (cubic centimeter), I said 1500 cubic centimeter. Dad said with satisfaction:

? That's right. Now put the apple in and measure the height. You see, the water level has risen by 2 cm. So, the size of the apple is:

15? 10? ( 12- 10)

= 15? 10? 2

= 150? 2

=300 (cubic centimeter). ?

I understand this problem today and feel very happy.

The world of mathematics is really mysterious!

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