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