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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）
The formula is correct
The idea is that the height of the beverage when it is placed upright + the height of the remaining space when it is placed upside down is the height of the beverage bottle. The total volume divided by the total height is the bottom area, and then multiplied by the height of the beverage to get the volume of the beverage
If the bottle is irregular, the answer cannot be found
As shown in the figure, the volume of a drink bottle is 80 cubic centimeters. When the bottle is placed upright, the height of the drink is 16 centimeters. When the bottle is placed upside down, the upper free height is 4 centimeters. What is the volume of the drink in the bottle?
Merge the two pictures, and you will find that: after exchanging the inverted blank part with the upright blank part, it is a regular cylinder. At this time, the height of the bottle is 16 + 4 = 20 cm, 80 △ 20 = 4 square cm ·· bottom area
16 × 4 = 64 cubic centimeter
A kind of drink bottle has a cylindrical body with a volume of 500 cubic centimeters. Now there are some drinks in the bottle. When the bottle is placed, the height of the drink is 20 centimeters,
The height of the rest of the bottle is 5cm. How many milliliters of drinks are there in the bottle
The height of the rest of the bottle is 5cm, that is, the air part is equal to a 5cm high cylinder, so the beverage in the bottle is 20 / (20 + 5) * 500 = 400ml
There is a kind of beverage bottle whose body is cylindrical (excluding bottle neck) and its volume is 4 liters. There are some drinks in the bottle (as shown in the figure). The height of the drink is 20 cm when it is placed upright, and the spare part is 5 cm when it is placed upside down
Because the volume of the drink is constant, and the volume of the spare part in the bottle is also constant, so the volume of the drink is 4 times of the volume of the spare part: 20 △ 5, then the volume of the drink is 44 + 1 = 45, the volume of the drink is 4 × 45 = 3.2 (L); a: the volume of the drink in the bottle is 3.2 L
RELATED INFORMATIONS
- 1. 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．
- 2. 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?
- 3. 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!
- 4. 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?
- 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. 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
- 7. 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?
- 8. 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
- 9. 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?
- 10. 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
- 11. 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?
- 12. 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
- 13. 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?
- 14. 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?
- 15. 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?
- 16. 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?
- 17. 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
- 18. There are 12 bottles of drinks, 11 of which are of the same quality, and another one is heavier. How many times can we guarantee to find out the heavier one?
- 19. If you drink 50% of a box of drinks, there are 18 bottles left. If you drink 6 bottles, how many bottles are left?
- 20. In midsummer, 10 students went to the cold drink shop and handed over the beverage statistics they needed to the waiter: Six wanted coke, five wanted sprite, Five people want juice, three people want Coke and Sprite, two people want sprite and juice, and one person wants all three. Q: how many people have drinks and drinks? (three situations.)