A5. Through a cube with an edge of $5 \mathrm{~cm}$, we cut out a regular quadrilateral prism with a base edge of $1 \mathrm{~cm}$, as shown in the figure. The resulting body is dipped in paint, so that all surfaces are painted. The total area of the painted surfaces is
(A) $130 \mathrm{~cm}^{2}$
(B) $144 \mathrm{~cm}^{2}$
(C) $156 \mathrm{~cm}^{2}$
(D) $168 \mathrm{~cm}^{2}$
(E) $170 \mathrm{~cm}^{2}$
A5. The total area of the colored surfaces is $P=6 \cdot(5)^{2}-2 \cdot(1)^{2}+4 \cdot(1 \cdot 5)=168 \mathrm{~cm}^{2}$.