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Inverted beverage bottle There is a drink bottle with a volume of 30 cubic decimeters. Now it contains some drinks. The height of the drink is 20 cm when it is placed upright, and the height of the rest part when it is placed upside down is 5 cm. The existing drinks in the bottle are () cubic decimeters The answer is 24 cubic decimeters, how to calculate? To calculate formula! Formula! Formula!
There is a drink bottle with a volume of 30 cubic decimeters. Now it contains some drinks. The height of the drink is 20 cm when it is placed upright and 5 cm when it is placed upside down. There are (24) cubic decimeters of drinks in the bottle
30×20/(20+5)=24
A mathematical problem of volume and volume
4. The glass container in the picture on the left has no cover, and the glass is 0.5cm thick. How many cubic centimeters of water can this glass container hold? How many milliliters?
Container length: 40cm
Width: 26cm
Height: 35.5cm
The inner wall of the vessel is 40-0.5 * 2 = 39cm in length, 26-0.5 * 2 = 25cm in width and 35.5-0.5 = 35cm in height
Volume = 39 * 25 * 35 = 34125 CC = 34125 ml
A mathematical problem about volume
The length and width are 6cm and 4cm rectangular iron sheets respectively, which form a cylindrical bucket with a bottom. What is the maximum volume of the bucket?
In this question, we should take the maximum area of the land, that is to say, take the height as 4
That is, 6 is the perimeter of the ground area
6=2πR R=3/π
S (bottom) = π R ^ 2 = 9 / π
V (volume) = 4 * (9 / π) = 36 / π
On volume and volume
If a rectangular glass fish tank with a length of 4 decimeters and a height of 4 decimeters is put into a rectangular iron block with a length of 2 decimeters, a width of 4 decimeters and a height of 2 decimeters, the following questions will be asked: (1) if the original water depth is 3. How many liters of water will overflow? (2) how many decimeters is the maximum water depth to keep the water from overflowing?
1. (4 * 5 * 3.5 + 2 * 4 * 2-4 * 5 * 4) / (4 * 5) = 0.3 decimeter
It will overflow 0.3 liters of water
2. (4 * 5 * 4-2 * 4 * 2) / (4 * 5) = 3.2 decimeters
In other words, the depth of water should be 3.2 decimeters at most?
RELATED INFORMATIONS
- 1. Ask a math question about volume A rectangular iron box with a square bottom, if you unfold its side, you will get a cube with a side length of 40cm. How many liters is the volume of the iron box?
- 2. There is a kind of beverage bottle with a cylindrical body (excluding the bottle neck) and a volume of 30 decimeters. 3. Now there are some drinks in the bottle. The height of the drink is 20 cm when it is placed upright, and the height of the rest part is 5 cm when it is placed upside down. (see Figure) the existing drinks in the bottle are () cubic decimeters A. 20B. 21C. 22D. 24
- 3. The volume of a certain kind of drink is 3 liters, and its bottle body is cylindrical (excluding the bottleneck). Now there are some drinks in the bottle. The height of the drink is 20cm when it is placed upright and 20cm when it is placed upside down The height of the spare part is 5cm
- 4. There is a kind of beverage bottle with a cylindrical body (excluding the bottle neck) and a volume of 30 cubic centimeters. Now there are some drinks in the bottle, and the height of the drinks is 0 Then above: 20 cm, the height of the rest of the space is 5 cm, how many cubic centimeters of the existing beverage in the bottle?
- 5. There is a kind of beverage bottle with a cylindrical body (excluding the bottle neck) and a volume of 30 decimeters. 3. Now there are some drinks in the bottle. The height of the drink is 20 cm when it is placed upright, and the height of the rest part is 5 cm when it is placed upside down. (see Figure) the existing drinks in the bottle are () cubic decimeters A. 20B. 21C. 22D. 24
- 6. A cylindrical beverage bottle is 7 cm in diameter and 12 cm in height. Put 24 bottles into a cuboid carton. What is the length, width and height of the cuboid at least?
- 7. The following figure is a schematic diagram of a beverage bottle. The volume of the beverage bottle is 1250 ml, which contains some drinks. When the bottle is placed upright, the beverage is% 0
- 8. On the right is a schematic diagram of a beverage bottle. The volume of the bottle is 625 ml, which contains some drinks. When the bottle is placed upright, the height of the drink is 10 cm. When the bottle is placed upside down, the height of the spare part is 2.5 cm
- 9. When the bottle is placed upright, the height of the drink is 16 cm; when the bottle is placed upside down, the height of the rest is 4 cm How many milliliters is the drink in the bottle? Please explain why
- 10. A glass bottle with a mass of 0.25kg and a mass of 1.5kg when filled with water, what is the volume of the glass bottle? How many kg of alcohol can it hold?
- 11. There is a beverage bottle body as shown in the figure, the volume of 3 cubic decimeters, now The body of a drink bottle is shown in the figure, with a volume of three cubic decimeters. Now there are some drinks in it. The height of the drink is 20 cm in the upright position and 5 cm in the inverted position. How many cubic decimeters are there in the bottle?
- 12. As shown in the figure, a kind of beverage bottle has a volume of 200ml and a cylindrical body. When the bottle is placed upright, the height of the beverage is 20cm, and when it is placed upside down, the height of the remaining part is 5cm, and the beverage in the bottle is 20cm______ ml．
- 13. The volume of a beverage bottle is 30 cubic centimeters, which contains some drinks. The height of the drink is 20 centimeters when it is placed upright, and when it is placed upside down A kind of beverage bottle has a volume of 30 cubic centimeters. It contains some drinks. When it is placed upright, the height of the drink is 20 centimeters. When it is placed upside down, the height of the spare part is 5 centimeters. How many cubic centimeters of drinks are there in the bottle? I know the answer is 24, I want to ask what is the train of thought My formula: 20÷（20＋5）×30＝24（cm³）
- 14. The rule of cold drink shop is: five empty soda bottles can be exchanged for one bottle of soda. A class of students drank 161 bottles of soda, some of which were exchanged with empty bottles left over. So, how many bottles of soda should they buy at least?
- 15. Five empty bottles can be exchanged for one bottle of soda. A class of students drank 161 bottles of soda, some of which were exchanged with the remaining empty bottles, so they should at least buy soda
- 16. There is a kind of drink bottle with a cylindrical body (excluding the bottle neck) and a volume of 300 cubic centimeters. Now there are some drinks in the bottle, which are placed at the height of the drink There is a kind of beverage bottle with a cylindrical body (excluding the bottle neck) and a volume of 480 ml. now there are some drinks in the bottle. The height of the drink is 20 cm when it is placed upright, and the height of the rest is 4 cm when it is placed upside down. How many cubic centimeters of drinks are there in the bottle?
- 17. Class A and class B of grade 9 in Guangming Middle school donated the same amount of money for "Hope Project", both of which were more than 300 yuan and less than 400 yuan. It is known that one person in class a donated 6 yuan, and the others donated 9 yuan; one person in class B donated 13 yuan, and the others donated 8 yuan. What is the total number of students in class A and class B?
- 18. A supermarket bought 240 bottles of coke. One third of the drinks were sold on the first day, and one fourth of the total drinks were sold on the second day. How many of them are still unsold?
- 19. In order to expand sales and increase profits, the supermarket is prepared to reduce the price appropriately. According to the calculation, if the price of each box is reduced by 1 yuan, 2 more boxes can be sold every day. (1) if you want to make a profit of 14000 yuan per day, how much should you reduce the price of each box? (2) How much is the price reduction per case? Is the supermarket making the biggest profit every day? What is the maximum profit?
- 20. There are 7 bottles of pop-up beverage, one of which is less in quality. If you weigh it with a balance at least several times, you can find the bottle with less in quality