Question

The cube of each side 2 cm is colored red, yellow and green, each color on two opposite sides of the cube. if the cube is cut into 8 smaller cubes of equal size. How many of the smaller cubes will not have the colour green on even one side?

Answer 1

$$\begin{gathered} \mathrm{There}\mathrm{will}\mathrm{be}\mathrm{no}\mathrm{cube},\mathrm{that}\mathrm{would}\mathrm{not}\mathrm{have}\mathrm{the}\mathrm{green}\mathrm{colour}\mathrm{on}\mathrm{even}\mathrm{one}\mathrm{side}. \\ \mathrm{Because}\mathrm{as}\mathrm{cube}\mathrm{is}\mathrm{cutted}\mathrm{in}\mathrm{to}8\mathrm{pieces}.\mathrm{then}\mathrm{these}8\mathrm{pieces}\mathrm{will}\mathrm{have}\mathrm{all}\mathrm{three}\mathrm{colour}\mathrm{on}\mathrm{it}. \\ \mathrm{because}\mathrm{all}\mathrm{the}\mathrm{cube}\mathrm{will}\mathrm{be}\mathrm{at}\mathrm{corners},\mathrm{and}\mathrm{corner}\mathrm{cubes}\mathrm{are}\mathrm{always}\mathrm{have}\mathrm{colour}\mathrm{on}\mathrm{three}\mathrm{sides}. \end{gathered}$$