A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm²) of all the 8 parts?

Solution (By Examveda Team)

Length of smaller cuboid = $$\frac{{30}}{2}$$ = 15 cm
Breadth = $$\frac{{40}}{2}$$ = 20 cm
Height = $$\frac{{50}}{2}$$ = 25 cm
Total surface area of cuboid
= 8[2($$l$$b + bh + h$$l$$)]
= 8[2(15 × 20 + 20 × 25 + 25 × 15)]
= 16(300 + 500 + 375)
= 16 × 1175
= 18800