After a cube is cut into two identical cuboids, the surface area increases by 72 square centimeters. The original cuboid volume is () cubic centimeters

After a cube is cut into two identical cuboids, the surface area increases by 72 square centimeters. The original cuboid volume is () cubic centimeters

The bottom area is 72 △ 2 = 36 square centimeters
Because 36 = 6 × 6
So the edge length is 6 cm
So the volume is 6 × 6 × 6 = 216 square centimeters

After sawing a cube block into two identical cuboids, the surface area of each cuboid is 72cm2 smaller than that of the original cuboid

72 △ 4 = 18 (square centimeter), so the original surface area of each side is 18 × 2 = 36 (square centimeter), 36 × 6 = 216 (square centimeter). Answer: the original surface area of the cube is 216 square centimeter

The surface area of a cuboid is 72 square centimeters, which is cut into two identical cubes,
The surface area of each cube is () square centimeter

43.2 square centimeters
After cutting into two identical cubes, there are 12 faces,
The surface area of the original cuboid is equivalent to the surface of 10 cubes
Each cube has six faces,
So the surface area of the cube is 72 * 6 / 10 = 43.2 square centimeters

Divide a cube into two identical cuboids, so the surface area increases by 72 square centimeters. The original surface area of the cube is ()
Divide a cube into two identical cuboids, so the surface area increases by 72 square centimeters. The original surface area of the cube is () square centimeters?

72*3=216