Combine cucumbers with 3 cups of water in blender untill liquefied.
Using a strainer over the mouth of a 2 quart pitcher, pour half of cucumber mixture slowly to strain the liquid.
Add the wedges of a lime to the other half of cucumber mixture in blender. Blend together for a few seconds untill chopped up into medium pieces. **Note: Blending the lime longer or into smaller pieces may give a bitter taste.
Pour the remaining mixture over strainer.
Add 2 cups of water and ice into the pitcher and stir well.