A metal cube of edge 12cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6cm and 8cm, find the edge of the third smaller cube.

Explanation

To solve the problem step by step, follow the instructions below:

### Step 1: Find the volume of the larger cube.
The volume \( V \) of a cube is calculated using the formula:
\[ V = \text{edge}^3 \]
For the larger cube with an edge of 12 cm:
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