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krawedz podstawy a=3cm
kraw,boczna h=a
Pp=3a²√3/2=3·3²·√3/2=3·9√3/2=27√3/2 cm²
Pb=6ah=6·3·3=54cm²
pole całkowite granistoslupa
Pc=2Pp+Pb=2·27√3/2 +54=27√3 +54=27(√3+2) cm²
b)
kraw,podstawy=a
krawedz boczna h=3cm
Pb=1/2·Pc /·2
2Pb=Pc
Pb=4ah
Pp=a²
Pc=2Pp+Pb=2a²+4ah
2·4ah=2a²+4ah=
8ah=2a²+4ah /:2a
4h=a+2h
4h-2h=a
2h=a
zatem 2·3=a
a=6cm
czyli Pp=a²=6²=36cm²
Pb=4ah=4·6·3=72cm²
pole calkowite granistoslupa :
Pc=2pp+Pb=2·36+72=72+72=144cm²