Technically, the volume of the surface would be the surface area, but assuming that's what you're referring to, and that the thickness of the waste basket doesn't add any extra volume/area, this is how you would solve that:
SA=2(wh+lw+lh)
SA=2[3/4(2)+1 1/2(3/4)+1 1/2(2)]
SA=2(1 1/2+1 1/8+3)
SA=2(45/8)
SA=11 1/4 ft
If there is no lid, you would subtract the lw:
SA=2(wh+lh)
SA=2[3/4(2)+1 1/2(2)]
SA=2(1 1/2+3)
SA=2(4 1/2)
SA=9 ft