The surface area of a cylinder is
Where r = 6cm and h = 12cm.
![\begin{gathered} S=2\pi\cdot6\operatorname{cm}\cdot12\operatorname{cm}+2\pi(6\operatorname{cm})^2 \\ S=452.16(cm)^2+226.08(cm)^2 \\ S=678.24(cm)^2 \end{gathered}]()
Therefore, the surface area is 678.24 square centimeters.
The lateral surface area would be
Because is the first term of the surface area formula.
Therefore, the lateral surface area is 452.16 square centimeters.