If the height of a cuboid is reduced by 5 cm, it becomes a cube. At this time, the surface area is reduced by 120 square cm. How about the volume of the cuboid?

If the height of a cuboid is reduced by 5 cm, it becomes a cube. At this time, the surface area is reduced by 120 square cm. How about the volume of the cuboid?

What is the perimeter of the base of the cuboid
120 △ 5 = 24 cm
What is the length and width of a rectangle
24 △ 4 = 6cm
What is the height of a cuboid
6 + 5 = 11 cm
What is the volume of a cuboid
6 × 6 × 11 = 396 cm3

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

The area of one additional face: 60 △ 4 = 15 (square centimeter); the length (width) of the cuboid: 15 △ 3 = 5 (centimeter); the height of the cuboid: 5-3 = 2 (centimeter); the volume: 5 × 5 × 2 = 50 (cubic centimeter); answer: the original volume of the cuboid is 50 cubic centimeter. So the answer is: 50 cubic centimeter

If the height of a cuboid is reduced by 2cm, it becomes a cube, and the surface area is reduced by 40cm2, so the volume of the original cuboid can be calculated
It's urgent

The height is reduced by 2 cm, and the surface area is reduced by 40 square cm, because the surface area is reduced by 4 small rectangles with a width of 2 cm
Area of a small rectangle: 40 / 4 = 10 square centimeter
The length of the small rectangle: 10 / 2 = 5cm. This is also the bottom side length of the cube
The height of the original cuboid: 5 + 2 = 7 cm
Volume: 5 * 5 * 7 = 175 cm3