every surface of the block shown will be painted, except for one of the bases. how many square units will be painted

To answer the question, we first calculate the area of the cube.
The area of a cube with side length s is given by
[tex]A=6s^2[/tex]Now in our case, s = 3.2 cm; therefore, the above gives
[tex]A=6(3.2cm^{})^2[/tex][tex]A=61.44\operatorname{cm}^2\text{.}[/tex]Now, we are told that all sides have been painted except for one; therefore, we subtract the area of one side from above to get:
[tex]61.44\operatorname{cm}-3.2\operatorname{cm}^2[/tex][tex]=51.2\operatorname{cm}^2[/tex]Hence, 51.2 square units will be painted.