Question

Zad nr. 3

Prosze o wszystkie obliczenia i dane

Answer 1

Objętość:
V = Pp * H * 1/3

12√2 = 2a |:2
a = 6√2
H = a√3
H = 6√2 * √3
H = 6√6 - wysokość ostrosłupa

|OA| = 6√2
|CA| = 6√2 * 2 = 12√2 = b√2
12√2 = b√2 |:√2
b = 12

Pp = b²
Pp = 12*12 = 144

V = 144 * 6√6 * 1/3
V = 288√6


Pole powierzchni:
P = Pp + Pb

Pp = 144

Pb = 4 * (b*h):2

12 : 2 = 6
6² + h² = 12√2²
36 + h² = 288
h² = 288 - 36
h² = 252 |√
h = √4*63 = 2√63 = 6√7

Pb = 4 * (12 * 6√7):2
Pb = 4 * 36√7
Pb = 144√7

P = 144 + 144√7