The surface area of a cuboid is 360 square centimeters. It can be cut into two identical cubes. What is the surface area of each small cube?

The surface area of a cuboid is 360 square centimeters. It can be cut into two identical cubes. What is the surface area of each small cube?


360÷(6×2-2)×6
=36×6
=216 square centimeters



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



The surface area of a cube is 360 square centimeters. Cut it into two identical cuboids. What's the surface area of each cuboid?


After a cube is cut into two identical cuboids, the sum of the surface areas of the two cuboids is two more faces than that of the original cube
Therefore, the surface area of each cuboid is equal to the area of four faces of the cube
Area of one surface of cube = 360 △ 6 = 60 (square centimeter)
Surface area of each cuboid = 60 × 4 = 240 (square centimeter)