H = 5 cm
5^2 + x ^2 = 13^2
25 + x^2 = 169
x^2 = 169 - 25
x^2 = 144
x = 12
Pp = 0,5 * 5 * 12
Pp = 30 cm2
Pb = 13*5 + 5*5 + 12*5
Pb= 65 + 25 + 60
Pb = 150 cm2
Pc= 2Pp + Pb
Pc= 2 * 30 + 150
Pc = 60 + 150
Pc = 210 cm2
V = Pp * H
V = 30 * 5
V = 150 cm3
b) (8-2) :2 = 6:2 = 3
x^2 + 3^2 = 5^2
x^2 + 9 = 25
x^2 = 16
x = 4
h = 4
Pp= 0,5 (2+8) * 4
Pp= 20 cm2
Pb = 2*5 + 5* 5 * 8*5 + 5*5
Pb = 10 + 25 + 40 + 25
Pb = 100 cm2
Pc = 2* 20 + 100
Pc = 140 cm2
V= 20 * 5
V = 100 cm3
c) 12-4 = 8
8^2 + x^2 = 10^2
64 +x^2 = 100
x^2 = 36
x = 6
h = 6
Pp= 0,5 * (4+12) *6
Pp= 48 cm2
Pb = 4*5 + 10*5 + 12*5 + 6*5
Pb = 20 + 50 + 60 + 30
Pb = 160 cm2
Pc = 2*48 + Pb
Pc = 96 + 160
Pc = 256 cm2
V = Pp * H
V = 48 * 5
V = 240 cm3
mam nadzieję że ok <: