I take it you mean the surface of the cuboid of those dimensions.
A quick sketch on paper, as you can't create it in a simple text editor, helps in cases like this.
Taking the 2 x 2 faces first, their total area = 2 x (2 x 2) = 8 cm^2
Now the 2 x 1 faces: 4 x ( 2 X 1) = 8cm^2.
So total surface area of the cuboid = 8 + 8 = 16 square centimetres.
[Edited to try to force paragraphs on this wretchedly basic text system!]
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Eight little cubes.
If the shape is a cuboid, then the volume is 4 cubic centimetres.
A cylinder whose radius is 2cm and height is 8cm has a total surface area of approximately 125.66cm2 {ADDED} To explain that further, the formula is pi*r^2 X h where r is the radius and h the height.
Volume of a cuboid = widthxlengthxheight; therefore V = 2cm x 4cm x 1cm = 8cm3
It is a rectangle.