Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 5

Question 5: 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?

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

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