An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimensions 20 cm × 15 cm. If the side of each square is 2 cm, the total outer surface area of the box is

A

$$148 cm^{2}$$

B

$$284 cm^{2}$$

C

$$316 cm^{2}$$

D

$$460 cm^{2}$$