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As shown in the figure, the four corners of a square sheet iron are cut off, and a small square with side length of 4 cm is made into a box without cover. If the volume of the box is 400 cm3, the side length of the original square sheet iron is calculated
Suppose the side length of the original square sheet iron is xcm, then we can get 4 (X-8) 2 = 400 from the meaning of the question. The solution is X1 = 18, X2 = - 2
As shown in the figure, the four corners of a square sheet iron are cut off, and a small square with side length of 4 cm is made into a box without cover. If the volume of the box is 400 cm3, the side length of the original square sheet iron is calculated
Suppose the side length of the original square sheet iron is xcm, then we can get 4 (X-8) 2 = 400 from the meaning of the question. The solution is X1 = 18, X2 = - 2
RELATED INFORMATIONS
- 1. As shown in the figure, a small square with a side length of 2 √ 2cm is cut off at the four corners of the square cardboard with a side length of (20 √ 3-6 √ 2) cm, and then folded along the dotted line to form a carton without cover, and the volume of the carton is calculated
- 2. A small square with X (CM) side length is subtracted from the four corners of a rectangular sheet of iron with the ratio of length to width of 2:1, and folded to make an open iron box If the sheet width is a (CM) (a > 2x), the volume of the iron box can be calculated
- 3. At the four corners of a square newspaper with a CM side length, subtract one side length from each other, which is BCM (b)
- 4. Take a rectangular paperboard 8 cm in length and 6 cm in width, and cut off four small cubes 1 cm in side length from four corners to make a cuboid carton without cover Find the volume of this cuboid
- 5. Find a carton with a lid. Open the lid and observe every two sides and joints. Is the surface area of the carton equal to the total area of the paper? Why?
- 6. The volume of an open cube carton is 5 cubic centimeters less than half of that of a cube whose edge length is 4cm. What is the surface area of the carton
- 7. How many square meters of cardboard should be used to make a cube carton with an edge length of 6 decimeters?
- 8. The utility model relates to a square cardboard box without a cover, with an edge length of 9 decimeters. How many square meters of cardboard are needed at least to make 50 such cardboard boxes
- 9. Xiao Ming wants to make a cube carton (with cover) with an edge length of 0.9 meters. At least how much cardboard should he use? What's the volume of the carton?
- 10. How to cut the rectangular cardboard (as shown in the figure) with 10 cm long and 6 cm wide to make a square cardboard box with 2 cm edge length? Use shadow to show the parts that should not be cut. At least two different schemes are given
- 11. A rectangular iron sheet (as shown in the figure), 25 cm long and 15 cm wide, cut out the small square with side length of 2 cm from the four corners, and then fold it around to make an iron box without a cover. Please help to calculate: how much iron sheet does it need to make such a box? What is the volume of the iron box?
- 12. The square iron sheet with side length of 48 cm is used to make an iron box without cover
- 13. There is a rectangular sheet of iron, 24 cm long and 14 cm wide. Cut out the same small square at the four corners, and fold it to make a uncovered iron box, so as to find the capacity of the iron box The side length of the cube is 4cm
- 14. In the four corners of a square with side length of ACM, subtract one square with side length of 5cm, (2 / a > 5) In the four corners of a square with side length of ACM, subtract a square with side length of 5cm, (2 / a > 5) to make a 900 cubic centimeter uncovered box. How much is the side length a of the square?
- 15. As shown in the figure, when a square with side length x is cut off from the four corners of the rectangular paper piece with length 6 and width 4 respectively, and the area of the cut off part is equal to the area of the remaining part, the side length of the square is______ ．
- 16. A rectangular iron sheet is 45cm long and 30cm wide. If you cut a 5cm square from each corner to make a box, how many ml is the volume of the box?
- 17. There is a rectangular sheet of iron 40cm in length and 35cm in width. After cutting a square from each corner, it is just a 5cm high uncovered iron box What is the volume of the box
- 18. As shown in the figure, cut off the four corners of a rectangular iron sheet 40cm in length and 30cm in width to form a square of the same size, and then fold each side to make a box without cover, so that its bottom area (shadow part) is half of the area of the original iron sheet, and calculate the height of the box
- 19. A rectangular sheet of iron, 30cm long and 25cm wide, cut a 5cm square from each of the four corners, and then made into a box. How many sheets of iron do you use?
- 20. Unfold the side of a cuboid box with a square bottom, which is a square with a side length of 12 decimeters. How many square decimeters of hard paper do you need to make this covered box