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D = 3√2
V = ?
V = a³
a² + d² = D²
d = a√2
a² +(a√2)² = D²
a² + 2a² = D²
3a² = D² / :3
a² = D²/3
a = √(D²/3)
a = D√3/3
V = (D√3/3)³
V = (3√2*√3/3)³
V = (√6)³
V = 6√6
Odp: Objętość sześcianu wynosi 6√6.