When the height of a cuboid is increased by 3cm, it becomes a cube. The surface area is increased by 96 square cm. What is the volume of the original cuboid?
Let the height of the original rectangle be x, then the length and width are x + 3
4*(x+3)*3=96
x=5
The volume of the original rectangle is 5 * 8 * 8 = 320cm & sup3;
RELATED INFORMATIONS
- 1. The surface area of the three cubes is 24 square cm, 54 square cm, 294 square cm. The three cubes are fused into a large cube to obtain a large volume
- 2. If the height of a cube is reduced by 2cm, it becomes a cuboid. At this time, the surface area is reduced by 56cm. What is the volume of the original cube
- 3. If the height of a cuboid is reduced by 4cm, it becomes a cube. At this time, its surface area is reduced by 160cm2. Find its surface area and volume
- 4. When the height of a cuboid is increased by 5cm, it becomes a cube. The surface area is increased by 160cm2. What is the volume of the cuboid
- 5. After shortening the height of a cuboid by 3cm, it becomes a cube, and the surface area is reduced by 24cm2. What is the volume of the cuboid
- 6. If the height of a cuboid is 2 cm, the surface area will be reduced by 24 square cm. The rest is just a cube. What is the surface area of the original cuboid?
- 7. A cuboid reduces its height by 3cm and becomes a cube. Its surface area is reduced by 24cm square. The volume of the original cuboid is () The ratio of length to width of a rectangle is 7:3. If the length is reduced by 12cm and the width is increased by 16cm, it will become a square. What is the area of the original rectangle () square centimeter
- 8. A cuboid wood block, cut 5cm from the left, becomes a cube, the surface area reduces 120 square cm, calculate the volume of the original cuboid
- 9. If the height of a cuboid is reduced by 5cm, it becomes a cube. This means that the surface area is reduced by 120cm2. What is the volume of the original cuboid? Online, etc
- 10. A cuboid wood block is cut off from the top with a small cube 5cm high, and then it becomes a cube, with a surface area of 120cm less than the original, Find the volume of the original cuboid
- 11. There are three cubes of iron, their surface areas are 24 square centimeter, 54 square centimeter and 294 square centimeter respectively. Now we melt three pieces of iron into a big cube, and find the volume of this big cube
- 12. Three cubes with surface area of 24 square cm, 54 square cm and 294 square cm are fused into a large cube. What is the surface area of the large cube? Three cubes with surface area of 24 square centimeter, 54 square centimeter and 294 square centimeter are fused into a big cube. What is the surface area of the big cube?
- 13. As shown in the figure, a large rectangle is just divided into six small squares, of which the smallest square area is 1 square centimeter, then the area of the large rectangle is () A. 154 square centimeter B. 143 square centimeter C. 132 square centimeter D. 120 square centimeter
- 14. A rectangular food box, 20cm in length, 15cm in width and 30cm in height. If a circle of brand paper is pasted around it (not pasted above and below), how many square centimeters is the area of this brand paper at least?
- 15. A circle of trademark paper is pasted around a rectangular biscuit box with a length of 20cm, a width of 15cm and a height of 23cm. The joint part of the trademark paper is 2cm Write the formula and explain the reason
- 16. A rectangular food box is 20 cm in length, 15 cm in width and 15 cm in height. Label paper is pasted around it. How many square centimeters is the area of the label paper
- 17. If one side of a square is increased by 2cm, and the other side is increased by 1cm, the area of the rectangle is twice that of the square, which is 11 square centimeters more than that of the square, then how many centimeters is the length of the original square?
- 18. If one side of a square is increased by 2cm and the other side by 1cm, the area of the rectangle is 14cm2 more than that of the square, then the length of the original square is______ cm.
- 19. If the side length of a square is increased by 1cm, its area will be increased by 9cm. Find the side length of the square How to set up the equation
- 20. If each side of a square is increased by 1 cm, the area will be increased by 17 square centimeters. What is the area of the original square?