A rectangular block of wood, cut from the upper and lower parts of the cuboid 3 cm and 2 cm high, will become a cube, the surface area reduced by 120 square meters Cm, how many cubic centimeters is the volume of the original cuboid? Come on, I'm in urgent need now. Please help me!

A rectangular block of wood, cut from the upper and lower parts of the cuboid 3 cm and 2 cm high, will become a cube, the surface area reduced by 120 square meters Cm, how many cubic centimeters is the volume of the original cuboid? Come on, I'm in urgent need now. Please help me!

Let the length, width and height of the original cuboid be: A, B, C. according to the title, the reduced surface area is the side area of the two cuboids to be cut, and there should be B = C. the side area can be expressed as: 3 (B + C) * 2 + 2 (B + C) * 2 = 120cm2, so B + C = 12cm, that is, B = C = 6cm. Further, a = 3 + 2 + 6 = 11cm. Therefore, the volume obtained is: 11 * 6 * 6 = 396cm3