Answer:
Surface Area increases by 36 times.
Step-by-step explanation:
[tex]Let \ length, \ height \ and \ width \ of \ a \ cube \ be \ a[/tex]
[tex]Surface \ Area = 6a^2[/tex]
[tex]Now \ length, \ height \ and \ width \ are \ multiplied \ by \ 6, that \ is \ sides = 6a[/tex]
[tex]New \ Surface\ area = 6 (6a)^2 = 6 (36a^2) = 36 \times 6a^2[/tex]
[tex]That \ is \ new \ surface \ area = 36 \times \ old \ surface\ area[/tex]