(Solved): The figure below shows a cube of sides L, and a nanorod with sides width w and height L, the sa ...

The figure below shows a cube of sides $$L$$, and a nanorod with sides width $$w$$ and height $$L$$, the same as the cube. a. Derive a formula for the number of nanorods that can be placed in the cube with a gap of $$w$$ between neighboring nanorods as shown below. b. Derive the formula for the total surface area of the cube and the nanorod structure. c. Using the formula derived in (b), find the total surface area of the cube structure and the nanorod structure for $$\mathrm{L}=2\mathrm{cm}$$ and $$\mathrm{w}=2\mathrm{nm}$$.