1.
dane:
a=6
b=10
[latex]P1= frac{6 ^{2}* sqrt{3} }{4} [/latex]
[latex]P1=9 sqrt{3} [/latex]
[latex]h1= sqrt{10 ^{2}-3 ^{2} } [/latex]
[latex]h1= sqrt{91} [/latex]
[latex]P2= frac{6* sqrt{91} }{2} [/latex]
[latex]P2=3 sqrt{91} [/latex]
[latex]P=(9 sqrt{3})+3*(3 sqrt{91} )[/latex]
[latex]P=9 sqrt{3} +9 sqrt{91} [/latex]
2.
dane:
a=12
b=18
- pole:
[latex]P1=12 ^{2} [/latex]
[latex]P1=144[/latex]
[latex]h1= sqrt{18 ^{2}-6 ^{2} } [/latex]
[latex]h1=12 sqrt{2} [/latex]
[latex]P2= frac{12*(12 sqrt{2}) }{2} [/latex]
[latex]P2=72 sqrt{2} [/latex]
[latex]P=144+4*(72 sqrt{2}) [/latex]
[latex]P=288 sqrt{2}+144 [/latex]
- objętość :
[latex]d=12* sqrt{2} [/latex]
[latex]d=12 sqrt{2} [/latex]
[latex]H= sqrt{18 ^{2}-(6 sqrt{2}) ^{2} } [/latex]
[latex]H=6 sqrt{7} [/latex]
[latex]P1=12 ^{2} [/latex]
[latex]P1=144[/latex]
[latex]V= frac{144*(6 sqrt{7}) }{3} [/latex]
[latex]V=288 sqrt{7} [/latex]
3.
dane:
a=8
b=12
[latex]P1= frac{8 ^{2}* sqrt{3} }{4} [/latex]
[latex]P1=16 sqrt{3} [/latex]
[latex]h1= sqrt{12 ^{2}-4 ^{2} } [/latex]
[latex]h1=8 sqrt{2} [/latex]
[latex]P2= frac{8*(8 sqrt{2}) }{2} [/latex]
[latex]P2=32 sqrt{2} [/latex]
[latex]P=(16 sqrt{3})+3*(32 sqrt{2}) [/latex]
[latex]P=16 sqrt{3}+96 sqrt{2} [/latex]
4.
dane:
a=8
b=10
- pole:
[latex]P1=8 ^{2} [/latex]
[latex]P1=64[/latex]
[latex]h1= sqrt{10 ^{2}-4 ^{2} } [/latex]
[latex]h1=2 sqrt{21} [/latex]
[latex]P2= frac{8*(2 sqrt{21}) }{2} [/latex]
[latex]P2=8 sqrt{21} [/latex]
[latex]P=64+4*(8 sqrt{21}) [/latex]
[latex]P=32 sqrt{21}+64 [/latex]
- objętość:
[latex]d=8* sqrt{2} [/latex]
[latex]d=8 sqrt{2} [/latex]
[latex]H= sqrt{10 ^{2}-(4 sqrt{2}) ^{2} } [/latex]
[latex]H=2 sqrt{17} [/latex]
[latex]P1=8 ^{2} [/latex]
[latex]P1=64[/latex]
[latex]V= frac{64*(2 sqrt{17}) }{3} [/latex]
[latex]V= frac{128}{3} sqrt{17} [/latex]
