If the height of a cuboid is increased by 4cm, it will become a cube. At this time, the surface area of the cuboid is increased by 192cm. What is the volume of the cuboid?

If the height of a cuboid is increased by 4cm, it will become a cube. At this time, the surface area of the cuboid is increased by 192cm. What is the volume of the cuboid?




If the height of a cuboid is increased by 2 cm, it will become a cube, and the surface area will be increased by 56 square cm. What is the volume of the cuboid


The circumference of the bottom surface of the cuboid is 56 △ 2 = 28 cm
The length and width of the cuboid are 28 △ 4 = 7 cm
Height of cuboid = 7-2 = 5cm
It turns out that the volume of this cuboid is 7 × 7 × 5 = 245 cubic centimeters



If the height of a cuboid is increased by 2 cm, it will become a cube, and the surface area will be increased by 56 square percent


The length and width of the original cuboid: 56 / 4 / 2 = 7 cm, the height of the original cuboid: 7-2 = 5 cm, cuboid volume: 7 × 7 × 5 = 245 cubic cm, cuboid surface area: 7 × 7 × 6-56 = 238 square cm, cuboid volume: 7 × 7 × 7 = 343 cubic cm, I don't know what you want? I'll draw a picture for you



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?


The area of one additional face: 96 △ 4 = 24 (square centimeter); the length (width) of the cuboid: 24 △ 3 = 8 (centimeter); the height of the cuboid: 8-3 = 5 (centimeter); the volume: 8 × 8 × 5 = 320 (cubic centimeter); a: the volume of the cuboid is 320 cubic centimeter