There are several ways to place 24 small cubes with 1 cm long edges into cuboids of different shapes. Among them, how many square centimeters is the largest surface area?

There are several ways to place 24 small cubes with 1 cm long edges into cuboids of different shapes. Among them, how many square centimeters is the largest surface area?

In other words, if 24 is divided into a × B × C forms, there are six pendulum methods
① 1× 1×24
② 1× 2×12
③ 1× 3×8
④ 1× 4×6
⑤ 2×2×6
⑥ 2×3×4
S①=2(24×1+24×1+1×1)=98
S②=2(12×2+12×1+2×1)=76
S③=2(8×3+8×1+3×1)=70
S④=2(6×4+6×1+4×1)=68
S⑤=2(2×2+2×6+2×6)=56
S⑥=2(2×3+2×4+3×4)=52
It can be seen that the surface area of S 1 is the largest