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In a cuboid glass jar with a length of 20cm, a width of 10cm and a water depth of 20cm, a square iron block with a length of 5cm is placed. How much has the water surface risen
Rise = 5 × 5 × 5 ／ 20 ／ 10 = 0.625cm
Three same cubes are put together into a big cube. The total edge length of the cuboid is 40 decimeters. Calculate the surface area and volume of the cuboid
After the cuboid is assembled, count how many cuboids it is composed of
There are four long ones, each of which has three small edges. The total length is 34 = 12, plus four wide ones and four high ones, there are 12 + 4 + 4 = 20
The length of each ridge is 40 △ 20 = 2 cm
Length of cuboid: 2 × 3 = 6cm
Width of cuboid: 2 cm
Height of cuboid: 2 cm
Surface area: (6 × 2 + 6 × 2 + 2 × 2) × 2 = 56 square centimeter
Volume: 2 × 2 × 6 = 24 square centimeter
Use three same cubes to bond them into a cuboid. The total edge length of the cuboid is 40 decimeters. What are the surface area and volume of the cuboid?
Add units with formulas
The original cube edge length is 40 / (12 * 3-4 * 4) = 40 / 20 = 2 decimeters
Cuboid surface area 2 * 2 * 6 * 3-2 * 2 * 4 = 20 square decimeters
Cuboid Volume 2 * 2 * 2 * 3 = 24 cubic decimeters
RELATED INFORMATIONS
- 1. Put four cubes whose edges are 2 decimeters long into a cuboid. The surface area of the cuboid is______ Or______ ．
- 2. How many square decimeters is the surface area and how many cubic decimeters is the volume of the cuboid?
- 3. The length, width and height of a cuboid are 5cm, 4cm and 3cm respectively. If we saw it into the largest cube, its volume would be larger than that of the original cuboid
- 4. A cuboid is 20 cm in length, 12 cm in width and 8 cm in height. After cutting out the largest cube from the cuboid, the volume of the remaining part is smaller Is it () cubic centimeter?
- 5. Cut a cuboid 20 cm long, 16 cm wide and 12 cm high into the largest cube. How many cuboids are left
- 6. The length, width and height of a rectangular block are 10 cm, 8 cm and 6 cm respectively. If you saw it into the largest cube, how many percent of its volume will be reduced?
- 7. Cut a cuboid 8 cm long, 5 cm wide and 3 cm high into the largest cube. What is the volume of the cube? (calculation process)
- 8. The cuboid wood is 8 cm long, 6 cm wide and 6 cm high. It is sawed into the largest cube wood. What is the volume of cube wood?
- 9. A cuboid is a small cuboid with a cut volume of 32 cubic centimeters, and the rest is a cube with an edge length of 4 centimeters. The surface area of the original cuboid is______ ．
- 10. If the height of a cuboid is shortened by 3cm, it will become a cube. At this time, the volume is reduced by 75cm3. What is the volume of the cuboid
- 11. In a 50 cm long and 40 cm wide cuboid glass jar, put a 10 cm long square iron block into it, and the water depth is 20.5 cm?
- 12. A cuboid glass container is 8 decimeters long, 6 decimeters wide, 5 decimeters high and 4 decimeters deep. If you put a cube with an edge length of 4 decimeters Solid iron, how much water will overflow from the container?
- 13. The edge of a cube glass container is 2 decimeters long, and the water depth in the container is 12 cm What's the volume of stone in cubic centimeter?
- 14. A rectangular glass container is one meter long, 0.5 meters wide and 2 meters deep. Now the water depth is 0.6 meters. When a square iron block with an edge length of 2 decimeters is placed in the water What's the depth of water in the middle and back?
- 15. After cutting off a cuboid with a volume of 80 cubic meters from one end of a cuboid, there is just a cuboid with an edge length of 10 meters, which is the original cuboid volume What is the surface area? Learning needs
- 16. The length, width and height of a cuboid are 20m, 15m and 10m respectively. If the height is increased by 5m, the cuboid volume will be increased by () cubic meters The surface area increased by () square meters
- 17. When the height of a cuboid wood block is reduced by 3 cm, it becomes a cube, and the surface area is reduced by 120 square cm. What is the original surface area of the cuboid
- 18. Cut a cube with a surface area of 1.8 square meters into three cuboids of the same size (regardless of loss). What is the surface area of each cuboid?
- 19. Divide a cube with a surface area of 30 square centimeter into two cuboids, and then put the two cuboids together into a large cuboid to find the surface of the large cuboid
- 20. After sawing a cube whose edge length is 1 decimeter into two cuboids, its surface area increases () square decimeter