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Dane: Szukane:
a = 8 V
α = 60° P
h = a√3 / 2 więc h = 4√3
b = h * tg α więc b = 4√3 * √3 więc b = 12
H² = b² - a²/4 więc H² = 144 - 16 więc H = 8√2
V = a²√3 / 4 * H więc V = 64√3 / 4 * 8√2 więc V = 128√6
P = 2 * a²√3 / 4 + 3 * a * H więc P = 32√3 + 192√6
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Zad. 2
a) V = 12 * 8 / 2 * 20 = 960 (dm³)
b) Pp - powierzchnia podłogi
Ps - powierzchnia ściany
Pp = 12 * 20 = 240 (dm²)
Ps = √(6² + 8²) * 20 * 2 + 12 * 8 / 2 * 2 = 400 + 96 = 496 (dm²)