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) 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?
Edge of cubical box cm
Lateral surface area of cubical box (1)
Length of cuboidal box cm
Breadth of of cuboidal box cm
Height of cuboidal box cm
Lateral surface area of cuboidal box (2)
From (1) and (2), we can say that cubical box has greater lateral surface area by 40 .
Total surface area of cubical box
Total surface area of cuboidal box
Therefore, cubical box has smaller total surface area by 10