From the question statement, we have Edge of a cube = 10cm Length, l = 12.5 cm Breadth, b = 10cm Height, h = 8 cm (i) Find the lateral surface area for both the figures Lateral surface area of cubical box = 4 (edge)2 = 4(10)2 = 400 cm2 …(1) Lateral surface area of cuboidal box = 2[lh+bh] = [2(12.5×8+10×8)] = (2×180) = 360 Therefore, Lateral surface area of cuboidal box is 360 cm2. …(2) From (1) and (2), lateral surface area of the cubical box is more than the lateral surface area of the cuboidal box. The difference between both the lateral surfaces is, 40 cm2. (Lateral surface area of cubical box – Lateral surface area of cuboidal box=400cm2–360cm2 = 40 cm2) (ii) Find the total surface area for both the figures The total surface area of the cubical box = 6(edge)2 = 6(10 cm)2 = 600 cm2…(3) Total surface area of cuboidal box = 2[lh+bh+lb] = [2(12.5×8+10×8+12.5×100)] = 610 This implies, Total surface area of cuboidal box is 610 cm2..(4) From (3) and (4), the total surface area of the cubical box is smaller than that of the cuboidal box. And their difference is 10cm2. Therefore, the total surface area of the cubical box is smaller than that of the cuboidal box by 10 cm2