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After four cubes of the same size are glued into a cuboid (as shown in the figure), the surface area is reduced by 54 square centimeters, and the surface area and volume of the cuboid are calculated
(1) (2) volume: 33 × 4, = 27 × 4, = 108 (cubic centimeter); answer: the surface area of cuboid is 162 square centimeter, the volume is 108 cubic centimeter
After four cubes of the same size are glued into a cuboid (as shown in the figure), the surface area is reduced by 54 square centimeters, and the surface area and volume of the cuboid are calculated
If the side length of a square is increased by 6 cm, its area will be increased by 96 square cm. What is its original area
96 △ 6 = 16 (CM) 16x16 = 256 (cm2)
The side length of a square is increased by 6cm, and the area is increased by 144cm. What is the original side length
Original side length = (144-6 × 6) △ 6 △ 2 = 9cm
RELATED INFORMATIONS
- 1. The side length of a square is 6 cm. If you increase the side length by x cm, the area will increase______ Square centimeter
- 2. How many small squares with an area of 4 square centimeters can a square paper with a side length of 16 cm be cut into?
- 3. A 60cm, 20cm wide rectangular cardboard, cut a 5cm cube from four corners, and then fold it into a carton What's the surface area of this carton in square centimeter
- 4. A cuboid is 20cm in length, 12cm in width and 6cm in height. After it is divided into two cuboids, what is the minimum and maximum increase in surface area?
- 5. The height of a cone is 12cm, and it is semicircle when the side is unfolded? Urgent···· Before 8 o'clock
- 6. When a cylinder with a bottom area of 24cm and a height of 12cm is sawed into two identical small cylinders, the surface area increases by () cm;
- 7. As shown in the figure, a chopstick with a length of 24cm is placed in a cylindrical water cup with a diameter of 5cm at the bottom and a height of 12cm. If the length of the chopstick exposed on the outside is HCM, the value range of H is () A. 0＜h≤11B. 11≤h≤12C. h≥12D. 0＜h≤12
- 8. A brick is 25cm in length, 12cm in width and 5cm in thickness. How much space can 1000 bricks occupy? +- x △ is represented by ←, and X △ can be copied. Be sure to write the ideas and notes of each part
- 9. The circumference of a rectangle is 55cm. It is known that its length is 3.5cm longer than its width. How many cm are the length and width of the rectangle?
- 10. The perimeter of a rectangle is between 40 cm and 50 cm. If the ratio of its length to width is 5:7, what is the perimeter and area of the rectangle?
- 11. After four cubes of the same size are glued into a cuboid (as shown in the figure), the surface area is reduced by 54 square centimeters, and the surface area and volume of the cuboid are calculated
- 12. If a cuboid is reduced by 2 cm, it will become a cube. It is known that the surface area of a cube is 54 square cm. Find the volume of the cuboid I know that the square of 9 is 3, but the primary school students have not yet learned. The energy length of a scholar's Cube: 54 / 6 / 3 = 3cm, why divide by 3,
- 13. The surface area of a cube is 54 square centimeters, and the area of one side () square centimeters?
- 14. The surface area of a cuboid with a square cross section is 114 square centimeters. The largest cuboid is cut off and the surface area is 54 square centimeters, How much square centimeter has been subtracted from the surface area of the truncated cube wood?
- 15. A cube with a surface area of 96 square centimeters has a volume of several cubic centimeters
- 16. The surface area of a cube is 54. How many square centimeters is its bottom area and how many cubic centimeters is its volume
- 17. What is the volume of a cube with a surface area of 54 square centimeters?
- 18. The bottom area and height of a cylinder and a cone are equal. The volume of a cone is 36 cubic centimeters less than that of a cylinder. What is the volume of a cylinder?
- 19. The volume of a cylinder is 18 cubic centimeters more than that of a cone with the same base and height. How many cubic centimeters is the volume of a cone?
- 20. The volume of cone a is 128 cubic centimeters, and the height is 12 centimeters. The bottom area of cone B and cone a is equal, and the height is 9 centimeters. What is the volume of cone B?