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2009-10-31T12:34:03+01:00
DANE
a=b
cosα=√2/3
4a+4k=40
OBL V
V=1/3a²H
a+k=10
d=a√2
d/2=k*cosα→a/2√2=k*√2/3

Uklad rownan
a/2=k/3→a=2/3k
a+k=10
2/3k+k=10
5/3k=10
k=6
a=4
d=a√2
z tw Pitagorasa
H²=k²-(d/2)²
H²=k²-1/2a²
H²=36-8=26
H=√26
V=1/3*16*√26=16/3√26
V=16/3√26≈27,2

ODP V=16/3√26≈27,2

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