If the height is reduced by 2cm and becomes a cube, then the surface area is reduced by 56 square centimeters. What is the volume of the original cuboid? A cuboid, The way to solve the problem should be detailed

If the height is reduced by 2cm and becomes a cube, then the surface area is reduced by 56 square centimeters. What is the volume of the original cuboid? A cuboid, The way to solve the problem should be detailed

The height is reduced by 2cm, becoming a cube, and the surface area is reduced by 56cm2, which shows that the bottom is square, that is, the length and width are equal, so the length and width are 56 △ 2 △ 4 = 7. The height is 7 + 2 = 9. So the volume of the original cuboid is 7x7x9 = 441cm

The height of a cuboid is reduced by 2 cm to become a cube, and the surface area is reduced by 48 square cm. How many cubic cm is the original cuboid volume?
When the height of a cuboid is reduced by 2 cm, it becomes a cube, which means that the bottom of the cuboid is square, length = width;
After the height of the cuboid is reduced by 2 cm, it becomes a cube, which shows that height - 2 = length = width, that is, height = length + 2 = width + 2;
When the height of a cuboid is reduced by 2 cm, it becomes a cube, and the surface area is reduced by 48 square cm, which indicates that the surface area is reduced by 2 × length + 2 × length + 2 × width + 2 × width, and the length = width, 2 × length + 2 × length + 2 × width + 2 × width = 2 × length × 4, that is, 2 × length × 4 = 48;
Length = 48 △ 8 = 6 (CM) = width, height = length + 2 = 6 + 2 = 8 (CM);
The original cuboid volume is: length × width × height = 6 × 6 × 8 = 288 (cubic centimeter)

The height of a cuboid is reduced by 2 cm to become a cube, and the surface area is reduced by 48 square cm. How many cubic cm is the original cuboid volume?
The surface area is reduced, but the side area is actually reduced
Perimeter of reduced part: 48 / 2 = 24 cm
The rest is cube: l = w = 24 / 4 = 6cm
H = 6 + 2 = 8 cm
The volume of the original cuboid: length * width * height = 6 * 6 * 8 = 288 cubic centimeters

Four identical squares overlap. A vertex of the lower square coincides with the center of the upper square. The side length of each small square is 20 cm,
This is the plaque of a Chinese medicine store,

It can be seen from the title that the side length of a large square is twice that of a small square, that is, 40 cm,
The outer perimeter is the sum of two large squares and a small square, that is, 2 * 40 * 4 + 20 * 4 = 400 (CM)