ABCDA'B'C'D' cub
AΔAB'C=32√3 cm²
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At=?V=?
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AB'=B'C=AC pentru ca sunt diagonale in patrate congruente⇒
⇒ΔAB'C echilateral
A=B'A²√3/4
B'A²√3/4=32√3
B'A²√3=4·32√3
B'A²√3=128√3
B'A²=128
B'A=8√2 cm
a) At=6·l²
At=6·(8√2)²
At=6·128
At=768 cm²
b)Vcub=l³
Vcub=B'A³
Vcub=(8√2)³
Vcub=(8√2)²·8√2
Vcub=128·8√2
Vcub=1024√2 cm³
