After three cubes of the same size are assembled into a cuboid, the surface area is reduced by 144cm square. What is the volume of the cuboid? Notice the volume, not the surface area

After three cubes of the same size are assembled into a cuboid, the surface area is reduced by 144cm square. What is the volume of the cuboid? Notice the volume, not the surface area

3-1=2
2×2=4
144 △ 4 = 36 square cm = 6 cm × 6 cm
Therefore, the edge length of a cube is 6 cm,
The volume of the cuboid: 6 × 6 × 6 × 3 = 648 cubic centimeter