din formula volumului scoatem Ab
V=Ab*h\3
54√6=Ab*3√3\3
54√6= Ab√3
Ab=54√3
Stiim Ab putem afla latura (l)
Ab=l²√3\4
54√3=l²√3\4
l²=54√3*4\√3
l²=216
l=6√6
Al=Pb*ap\2
Pb=3*l=3*6√6=18√6
Apotema bazei =l√3\6=6√6*√3\6=√18
ap b=3√2
Putem afla Ap piramidei din Δdrept VOM ( V vf piramidei. O piciorul inaltimii piramidei, M piciorul apotemei piramidei)
VM²=VO²+OM²=3√2²+3√2²=18+18=36
VM=6
Al=18√6*6\2=54√6
