Answer:
[tex]96units^2[/tex]
Step-by-step explanation:
The total surface area of a cube is given by [tex]6l^2[/tex].
The first cube has side length [tex]l=6[/tex] units.
This cube has total surface area, [tex]6(6)^2=216units^2[/tex].
If the second cube is reduced in size by [tex]\frac{2}{3}[/tex], then the corresponding change in area is [tex]\frac{2^2}{3^2}=\frac{4}{9}[/tex].
the total surface area of the new cube is [tex]=\frac{4}{9}\times 216[/tex].
[tex]=96units^2[/tex]
