A cubical box has each edge 8 cm and another cuboidal box is 12 cm long, 8 cm wide and 6 cm high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

(i) Given, each edge of the cubical box, a = 8cm

∴ Lateral surface area of the cubical box

For cuboidal box,

l = 12 cm, b = 8cm and h = 6cm

∴ Lateral surface area of the cuboidal box

Hence, cubical box has the smaller total surface area than the cuboidal box by