These things usually do not do this unless you can get them suspended in the water. I guess the psuedopodia are exteneded like this to locate a suitable substrate to grasp on to. I am not too sure as to what this thing has formed a vacuole around. From what I have read about amoebae they are very selective in what they eat, so I guess size doesn't really matter here, quality not quantity it seems.
Radiating Amoeba
Sony DSC-P200
Auto mode
1/100 sec. @ f/2.8 ISO 100
Zeiss Axiostar Plus, 40X/0.65 CP Achromat (Zeiss)
Oblique halogen illumination with 18mm darkfield stop off center