A cuboid with a surface area of 360 square centimeters can be cut into two identical cubes. How many cubic centimeters is the volume of each small cube?

A cuboid with a surface area of 360 square centimeters can be cut into two identical cubes. How many cubic centimeters is the volume of each small cube?

360 ÷ (4 × 2 + 2), = 36 △ 10, = 36 (square centimeter), because 6 × 6 = 36, so the edge length of the cube is 6cm, then the volume of the cube is: 6 × 6 × 6 = 216 (cubic centimeter), a: the volume of each small cube is 216 cubic centimeter