Odpowiedź:
Szczegółowe wyjaśnienie:
H = 5 cm
c = 5 cm
a = 8 cm
b = 2 cm
h - wysokość trapezu = √[c² - (a - b)²/2²] = √[5² - (8 - 2)²/4] cm =
= √(25 - 6²/4) cm = √(25 - 36/4) cm = √(25 - 9) cm =
= √16 cm = 4 cm
Pp = 1/2 * (a + b) * h = 1/2 * (8 + 2) cm * 4 cm = 1/2 * 10 cm * 4 cm
= 1/2 * 40 cm² = 20 cm²
Pb = (a + b + 2c) * H = (8 + 2 + 2 * 5) cm * 5 cm =
= (10 + 10) cm * 5 cm = 20 cm * 5 cm = 100 cm²
Pc = 2 * Pp + Pb = 2 * 20 cm² + 100 cm² = 40 cm² + 100 cm² =
= 140 cm²
V = Pp * H = 20 cm² * 5 cm = 100 cm³