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V=32√3cm³ H=?
a=H/2
a- krawędź podstawy
Roz:
Pp=a²√3/4
Pp=(H/2)²√3/4
Pp=H²/4√3/4
Pp=H²/4 * √3/4
Pp=H²√3/16
V=Pp*H
32√3cm³=H²√3/16 *H/*16
512√3cm³=H³√3/:√3
512cm³=H³/∛
H=8cm
Odp:Wysokość graniastosłupa wynosi 8cm.