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
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- 1. What is the volume of a cube cardboard box with an edge length of 8cm? How many square centimeters of cardboard should be used to make 2000 cartons?
- 2. It is known that the edge length of the first cube carton is 6cm, and the volume of the second cube carton is 127cm3 larger than that of the first carton. The edge length of the second carton is calculated
- 3. The sum of the side length of a square and the width of a rectangle is 20 cm, the perimeter of a square is one third of the perimeter of a rectangle, the width of a rectangle is 4 / 5 of the length, and the sum of the area of a rectangle and a square is how many square centimeters?
- 4. Use three 15 cm square to make a rectangle and find the perimeter of the rectangle
- 5. Cut a piece of rectangular paper 120 cm long and 80 cm wide into a square of the same size and as large as possible. There is no paper left. At least how many pieces can be cut? Please list
- 6. A coin with a radius of 1cm rolls along the edge of the triangle cardboard. The three sides of the triangle are 6cm, 7cm and 8cm respectively. When the coin rolls back to its original position, what is the distance of the center of the coin
- 7. A rectangular sheet of iron, 26 cm in length and 16 cm in width, is cut off from its four corners. The square with a side length of 3 cm is then welded into an open iron box. How many ml is the volume of this iron box?
- 8. A cuboid is 26 cm high. It is cut into two cuboids horizontally. The surface area is increased by 80 square cm
- 9. A rectangular piece of paper is 60 cm long. After cutting off the largest square, a small rectangle is left. What is the perimeter of this small rectangle?
- 10. Make a cuboid oil tank without cover with iron sheet. The bottom is a square with side length of 2 decimeters and the height is 1.5 meters. How much iron sheet do you need to make such an oil tank?
- 11. 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?
- 12. 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
- 13. How many square meters of cardboard should be used to make a cube carton with an edge length of 6 decimeters?
- 14. 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
- 15. 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?
- 16. 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
- 17. At the four corners of a square newspaper with a CM side length, subtract one side length from each other, which is BCM (b)
- 18. 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
- 19. 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
- 20. 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