VA²=VO²+AO²=6²+ (2√2)²=36+8=44m²
VA=√44=2√11 m
(am folosit AO=4√2/2=2√2)
Aria laterala cub = 4*4²=64 m²
Arie lateral piramida patrulatera VA'B'C'D'= Perim bazei * Aptema/2
Perim bazei =4*4=16
Aptema VM = √(2²+2²)=2√2
am folosit apoteam bazei =4:2=2
si inaltimea piramidei =6-inaltime cub=6-4=2m
deci arie lateral piramida =16*2√2 :2=16√2
Volum = volum cub + volum piramida = 4³ + 4² *2/3=(64 +32/3)m³=224/3 m³
