A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Side of cubical box l = 10 cm
Curved surface area of cubical box = 4l² = 4(10)² cm² = 4(100) cm² = 400 cm²
Length of cuboidal box l = 12.5 cm, breadth b = 10 cm and height h = 8 cm
Curved surface area of cuboidal box = 2(l + b)h = 2(12.5 + 10) × 8 cm² = 2(22.5) × 8 cm² =360 cm²
Difference between surface area of two boxes = 400 cm² – 360 cm² = 40cm²
Hence, the curved surface area of cubical box is more than cuboidal box by 40 cm².

(ii) Side of cubical box l = 10 cm
Total surface area of cubical box = 6l² = 6(10)² cm² = 6(100) cm² = 600 cm²
Length of cuboidal box l = 12.5 cm, breadth b = 10 cm and height h = 8 cm
Total surface area of cuboidal box = 2(lb + bh + hl)
= 2(12.5 × 10 + 10 × 8 + 8 × 12.5) cm² = 2(125 + 80 + 100) cm²
= 2(305) cm²
= 610 cm²
Difference between total surface areas of two boxes = 610 cm² – 600 cm² = 10 cm²
Hence, the total surface area of cubical box is more than cuboidal box by 10 cm².