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H - wysokość ostrosłupa = 8 cm
h - wysokość ściany bocznej = ?
α - kąt miedzy H i h = 60°
V - objętość ostrosłupa
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H/h = cos60° = 1/2
H = h* 1/2
h = H : 1/2 = H * 2 = 8 * 2 = 16 cm
(a/2) : h = sin60° = √3/2
(a/2) = h * √3/2 = 16√3/2 = 8√3 cm
a = 2 * 8√3 = 16√3 cm
Pp -pole podstawy = a² = (16√3)² = 256 * 3 = 768 cm²
V - objętość ostrosłupa = 1/3 * Pp * H = 1/3 * 768 * 8 = 256 * 8 = 2048 cm³