If you cut a cube into two identical cuboids and increase the surface area by 18 square centimeters, the volume of the cube is______ Cubic centimeter

If you cut a cube into two identical cuboids and increase the surface area by 18 square centimeters, the volume of the cube is______ Cubic centimeter

Area of cuboid section: 18 △ 2 = 9 (square centimeter) because 3 × 3 = 9, the edge length of the cube is 3 cm, then the volume of the cube is 3 × 3 × 3 = 27 (cubic centimeter) a: the volume of the cube is 27 cubic centimeter. So the answer is: 27

If the height of a cuboid is cut off by 2 cm, its surface area will be reduced by 32 square cm. What's left is the cuboid. What's the volume of the cuboid?

The width of the reduced surface (the edge length of the remaining cube) is 32 ／ 4 ／ 2 = 4 (CM); the height of the original cuboid is 4 + 2 = 6 (CM); the volume of the original cuboid is 4 × 4 × 6, = 16 × 6, = 96 (cm3). A: the volume of the original cuboid is 96 cm3

Put two cubes with a surface area of 6 square centimeters together to form a cuboid. The cuboid has a surface area of square centimeters and a volume of cubic centimeters
Cut a cuboid of 8 decimeters in length, 6 decimeters in width and 4 decimeters in height into two identical cuboids. The surface of the cuboid will be square meters or square decimeters. With 12 cubes with a volume of 1 cubic centimeter, we can make different cuboids. What is the largest area and the smallest square centimeter

A cube with a surface area of 6 square centimeters and its edge length is 1 centimeter
Two cubes with a surface area of 6 square centimeters are put together to form a cuboid, so the surface area of the cuboid is 6 * 2-1 * 2 = 10 square centimeters
The volume is 1 * 1 * 1 * 2 = 2 cubic centimeters
Add: there are three cases
If the length is cut, add 6 * 4 * 2 = 48 square centimeters
If you cut the width, add 8 * 4 * 2 = 64 square centimeters
If the height is cut open, add 8 * 6 * 2 = 96 square centimeters
Add more
The surface area is the largest, it should be 1 * 1 * 12
At this time, its surface area is 1 * 1 * 2 + 12 * 1 * 4 = 50 square centimeters
The surface area is the smallest. It should be 2 * 2 * 3
At this time, the surface area is 2 * 2 * 2 + 2 * 3 * 4 = 32 square centimeters

Five identical cubes are put together into a cuboid. The surface area of this cuboid is 198 square decimeters. The original surface area of each cube is 198 square decimeters______ Square centimeter, the volume is______ Cubic centimeter

The area of one side of a small cube is: 198 ^ (5 × 6-8), = 198 ^ 22, = 9 (square centimeter), so the surface area of each small cube is: 9 × 6 = 54 (square centimeter), because 3 × 3 = 9, so the edge length of each small cube is 3 centimeter, so its volume is: 9 × 3 = 27 (cubic centimeter). A: the surface area of each cube is 9 square centimeter, and its volume is 27 cubic centimeter So the answer is: 9, 27