The total surface area of a cube is $216 \text{ cm}^{2}$. Find the length of its edge.

The total surface area of a cube is $216 \text{ cm}^{2}$. Find the length of its edge.
  1. $5$ cm
  2. $6$ cm
  3. $7$ cm
  4. $8$ cm

Solution

$6 a^{2} = 216 \Rightarrow a^{2} = 36 \Rightarrow a = 6$ cm.

Asked in: IMO

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