Let us denote by variable n the length of the side of this geometric figure.
Therefore, using the formula from the Pythagorean theorem, we get the following equation:
n ^ 2 + n ^ 2 = (12√3) ^ 2;
2n ^ 2 = 144 * 3;
n ^ 2 = 216.
In turn, we can represent the full surface of this geometric figure in the form:
6n ^ 2.
Substitute the value n ^ 2 from the equation above and calculate what the full surface of this geometric figure will equal:
6 * 216 = 1296.
Answer: The full surface of a cube is 1296 conventional units.
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