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panjang alas a dan tinggi kotak t maka
V = La . t
4000 = a² . t
t = 4000/a² .... (i)
Luas permukaan:
Lp = La + 4Lsisi
= a² + 4at
= a² + 4a(4000/a²)
= a² + 16000/a
Lp maksimum ketika turunannya = 0
2a - 16000/a² = 0
2a = 16000/a²
2a³ = 16000
a³ = 8000
a = 20
Lp = a² + 16000/a = 20² + 16000/20 = 400 + 800 = 1200 cm²