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El área total es A = 6 L²
El volumen es V = L³; si dividimos las dos relaciones
A / V = 6 L² / L³ = 6 / L
A = (6 / L) V; pero L = ∛V
Finalmente A = (6 / ∛V) . V = 6 V^(2/3)
Saludos Herminio