A 8 lb rabbit needs 300ug/kg of a 1% solution. How many ml should be given

First convert all numbers to consistent units.

1 lb = 0.4536 kg
1 μg = 1/1000000 g

Therefore
8 lbs = 8*0.4536 kg = 3.63 kg

medication required
= 300 * 3.63 μg
= 300 * 3.63 / 1000000 g
= 0.0011 g

Volume of 1% solution required
= 0.0011 / 0.01 ml
= 0.11 ml