Odpowiedź:
A)
Pc = 2Pp + Pb
Pp = [tex]\frac{1}{2}[/tex] * 4 * 3
Pp = 6
Pb = [tex]\sqrt{3} * 5 + \sqrt{3} * 4 + \sqrt{3} *3[/tex]
Pb = 12[tex]\sqrt{3}[/tex]
Pc = 2*6+12[tex]\sqrt{3}[/tex]
Pc = 12 + 12[tex]\sqrt{3}[/tex]
V = Pp * H
V = 6 * [tex]\sqrt{3}[/tex]
V= 6[tex]\sqrt{3}[/tex]
B)
Pc = 2Pp + Pb
Pp = 2[tex]\sqrt{2}[/tex] * 3[tex]\sqrt{2}[/tex] = 6[tex]\sqrt{4}[/tex] = 6 * 2 = 12
Pb = 2*(2[tex]\sqrt{2}[/tex] * 4) + 2*(3[tex]\sqrt{2}[/tex] * 4)
Pb = 16[tex]\sqrt{2}[/tex] + 24[tex]\sqrt{2}[/tex] = 40[tex]\sqrt{2}[/tex]
Pc = 2 * 12 + 40[tex]\sqrt{2}[/tex]
Pc = 24 + 40[tex]\sqrt{2}[/tex]
V = Pp * H
V = 12 * 4
V = 48
C)
Pc = 2Pp + Pb
Pp = 24[tex]\sqrt{3}[/tex]
Pb = 6*(4*6) = 6*24 = 144
Pc = 2*24[tex]\sqrt{3}[/tex] + 144
Pc = 48[tex]\sqrt{3}[/tex] + 144
V= Pp*H
V = 24[tex]\sqrt{3}[/tex] * 6
V = 144[tex]\sqrt{3}[/tex]
Licze na naj!