Consider a cube of edge length 1 cm. The total surface area of the same material if it were subdivided into colloidal size cubes each having an edge length of `10^(−7)` cm is y×`10^(7)` sq cm. What is y?

Explanation

To solve the problem, we need to calculate the total surface area of a cube with edge length \(1 \text{ cm}\) when it is subdivided into smaller cubes with edge length \(10^{-7} \text{ cm}\).

### Step-by-Step Solution:

1. **Calculate the surface area of the original cube:**
The surface area \(A\) of a cube is given by the formula:
\[
A = 6a^2
...