![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
If the length of a cuboid is increased by 3 cm, it will become a cube, and the surface area will increase by 144 square cm. What is the surface area and volume of the cuboid?
Hello, 58856711
Cube edge length: 144 △ 3 △ 4 = 12 (CM)
The length of the cuboid is: 12-3 = 9 (CM)
The surface area is: 2 × 12 × 12 + 4 × 12 × 9 = 720 (square centimeter)
Cuboid volume: 12 × 12 × 9 = 1296 (cm3)
Divide a cube with a surface area of 54 square centimeters into two cuboids. The surface area of each cuboid is______ ．
54 △ 6 = 9 (square centimeter) and because 3 × 3 = 9 (centimeter), the edge length of the cube is 3cm; then the length, width and height of the cuboid are 3cm, 3cm and 1.5cm respectively, and the surface area of the cuboid: (3 × 3 + 1.5 × 3 + 3 × 1.5) × 2 = 18 × 2 = 36 (square centimeter) a: the surface product of each cuboid is 36cm square, so the answer is: 36cm square
After three cubes of the same size are put together into a cuboid, the surface area is reduced by 144 square centimeters. How many square meters is the surface area of this cuboid?
Don't ask for reason, ask for formula! The formula should be neat
Solution
Reduced the area of 4 cubes
The area of the bottom of the cube is 144 △ 4 = 36 square centimeters
The edge is 6 cm long
So the surface area of the cuboid is
6x6x6x3-144 = 504cm2
When the height of a cuboid is reduced by 3 cm, it becomes a cube, and the surface area is reduced by 144 square cm. What is the surface area of the original cuboid
The edge length of the cube is 144 ﹣ 3 ﹣ 4 = 12 (CM)
The original surface area of the cuboid is 12 × 12 × 2 + (12 + 3) × 12 × 4 = 1008 (square centimeter)
RELATED INFORMATIONS
- 1. Three cubes with a surface area of 54 square centimeters are put together to form a cuboid. What is the surface area of this cuboid By 7:3, come on
- 2. The surface area of a cube is 54 square centimeters. Divide it into two cuboids equally. The surface area of each cuboid is______ Square centimeter
- 3. Use a 96cm long wire to make a cuboid frame. The ratio of length to width is 5:4:3. What is the surface area of the cuboid? There are also two questions, a batch of seeds do germination test, the first time, 100 seeds germinate 80 seeds, the germination rate is 80%, the second time, 200 seeds germinate 180 seeds, the germination rate is 90%, from this, how much is the germination rate of this batch of seeds? 4 / 5 of the number a is equal to 2 / 3 of the number B, then a: B is equal to several? There is a process
- 4. How long does it take to make a 10 cm long, 5 cm wide and 3 cm high rectangular frame with iron wire?
- 5. Use 120 cm iron wire to make a cuboid frame. The ratio of length to width to height is 3:2:1, and the length to width to height is 3:2:1 How much is it? Come on, come on, come on, come on, come on, come on, come on, come on
- 6. Make a rectangular frame with 120cm iron wire, the ratio of length, width and height is 3; 2; 1. How many centimeters is the length, width and height of the cuboid? 2. Plant tomatoes, cucumbers and eggplants in a geographical area of 30m in length and 12m in width, of which 5% of the area is planted with tomatoes, and the rest is planted with cucumbers and eggplants according to the ratio of 3:2?
- 7. Make a cuboid frame with 120cm iron wire. The ratio of length to width to height is 3:2:1. What are the length, width and height of the cuboid? What are the surface area and volume To write a detailed sub title!
- 8. Make a cuboid frame with 96cm iron wire. The ratio of length to width is 3:2:1. What's the volume of the cuboid?
- 9. With a 56 cm long wire just welded into a 6 cm long, 5 cm wide, several cm high cuboid
- 10. A 92 cm long wire can be welded into a 10 cm long, 8 cm wide and () cm high rectangular teaching aid A.80 B.5 C.5.5
- 11. The surface area of a cuboid is 56 square centimeters, which can be divided into three equal cuboids. What is the volume of this cuboid?
- 12. Put three small cubes together into a cuboid. The surface area of the cuboid is 56 square centimeters. How many square centimeters is the surface area of the cuboid
- 13. Use three cubes of the same size to make a cuboid. The surface area of the cuboid is 224 square centimeters, and the surface area of each cube is () square centimeters?
- 14. The surface area of a cube is 24 square decimeters. Divide it into two identical cuboids. The surface area of each cuboid is______ Square decimeter
- 15. There is a cube. Divide it into 24 small cuboids. The total surface area of these cuboids is 72 square decimeters. How about the volume of this cube?
- 16. Saw a cube with an edge length of 3 decimeters into two cuboids. What is the sum of the surface areas of the two cuboids?
- 17. A cube with a surface area of 54 square decimeters is sawn into two cuboids. The sum of the surface areas of the two cuboids is () square decimeters A. 108B. 72C. 54
- 18. After sawing a 20dm long cuboid into three equal sections, the surface area increases by 24 square decimeters. What is the volume of this section of wood?
- 19. Please solve a mathematical problem: saw a 20dm long cuboid wood into three sections on average, the surface area increased by 28dm, what is the original volume of this wood?
- 20. A cuboid fish Tang is 8m long, 4.5m wide and 2m deep. What is the volume of this fish Tang