Olympiad workbookIOQMThree Dimensional Geometry
Determine the sum of all possible surface areas of a cube two of whose vertices are (1,2,0) and (3,3,2) .
Correct answer
99
Step-by-step solution
Case-I : aligned SA & =6 [ 4+1+4 ]^2 & =54 sq.unit ^2 Case-II: & aligned 2 a^2+9a= 3 2 S A=6 ( 9 2 )=27 sq unit Case-III : aligned & 3 a=3 & a= 3 & S A=6 a^2=6 3=18 sq.unit ^2 & Possible S A=18+27+54=99 aligned