Cube Surface Area

S=6a2S = 6 a^{2}

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Learning zone

A cube has six identical square faces, so its surface area is six times the area of one face. Painting a cubic tank 2 m on a side means covering 6 × 2² = 24 m². Solving for the edge takes the principal positive square root, since an edge length is positive by definition. Comparing S = 6a² with V = a³ shows why big cubes hold proportionally more than they cost to coat — volume outruns surface as size grows.

Cube Surface Area
S=6a2S = 6 a^{2}
Where
  • SS= Surface area
  • aa= Edge length
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