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?

Explanation

To solve the given problem step by step, we will calculate the lateral surface area and total surface area for both the cubical box and the cuboidal box.

### Step-by-Step Solution:

**Step 1: Calculate the Lateral Surface Area of the Cubical Box**

The formula for the lateral surface area (LSA) of a cube is given by:
\[
...