If the height of a cuboid increases by 2 cm, it will become a cube, and the surface area will increase by 56 square cm. What is the volume of the cuboid?
What is the perimeter of the base of the cuboid
56 △ 2 = 28 (CM)
What is the length and width of a cuboid
28 △ 4 = 7 (CM)
What is the height of a cuboid
7-2 = 5 (CM)
The original cuboid volume is
7 × 7 × 5 = 245 (cm3)
RELATED INFORMATIONS
- 1. If the height of a cuboid is increased by 3cm, it will become a cube, and the surface area will be increased by 60cm______ Cubic centimeter
- 2. If the height of a cuboid is reduced by 4 cm, it will become a cube. At this time, the surface area will be reduced by 96 square cm. What is the volume of the original cuboid?
- 3. If the height of a cuboid is increased by 2cm, it will become a cube. The surface area of the cuboid will be increased by 56cm. The volume of the cuboid is
- 4. If the height of a cuboid is reduced by 2 cm to become a cube, the surface area will be reduced by 48 square cm, and the volume of the cube is () cubic cm A. 216B. 96C. 288D. 72
- 5. When the height of a cuboid increases by 2cm, it becomes a cube. At this time, the surface area increases by 56 square centimeters. What is the volume of the original cuboid? Attach the formula and explanation
- 6. If the height of a cuboid is increased by 2cm, it will become a cube. The surface area will be increased by 64cm. What is the volume of the cuboid?
- 7. When the height of a cuboid is reduced by 2cm, it becomes a cube, and the surface area is reduced by 48cm2. What is the volume of the original cuboid?
- 8. A circle has the largest square in it. The diameter of the circle is 20 cm. Find the area of the square
- 9. A piece of square paper with a side length of 20 cm is cut at a 45 degree angle 5 cm from the top (as shown in Figure 5), and a small square is formed in the middle. What is the area of the small square?
- 10. A piece of square paper with a side length of 20 cm is cut at a 45 degree angle 5 cm from the top (as shown in Figure 5), and a small square is formed in the middle. What is the area of the small square?
- 11. If the height of a cuboid is increased by 3 cm, it will become a cube. At this time, the surface area is increased by 96 square cm. What is the volume of the original cuboid?
- 12. If the height of a cuboid is increased by 2 cm, it will become a cube. At this time, the surface area will be increased by 56 square cm. What is the volume of the original cuboid
- 13. What is the volume of a cube divided into two cuboids with an average surface area of 32 square centimeters
- 14. If the height of a cuboid is reduced by 3 cm, it will become a cube, and the surface area will be reduced by 60 square cm
- 15. Reduce the height of a cuboid by 6cm, just turn it into a cube, and reduce the surface area by 48cm2. What's the surface area of this cuboid?
- 16. Two cubes with a surface area of 24 square centimeter form a cuboid. The cuboid has a surface area of () square centimeter A. 48B. 44C. 40D. 16
- 17. The surface area of a cuboid is 360 square centimeters. It can be cut into two identical cubes. The volume of each cube is______ Cubic centimeter
- 18. Mathematics: put three cubes with a surface area of 24 square centimeters into a cuboid, the surface area of the cuboid is () square centimeters, and the volume is () process
- 19. When the height of a cuboid is reduced by 8cm, it just becomes a cube. At this time, the surface area is reduced by 128 square centimeters?
- 20. When the height of a cuboid is reduced by 3cm, it becomes a cube with a surface area of 36cm less than the original cuboid