Respuesta :

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.

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