Step 1 :The medication is ordered to be given every 8 hours. Since there are 24 hours in a day, the child will receive \(\frac{24}{8} = 3\) doses in a day.
Step 2 :The medication is available in a concentration of 135 mg/5 mL, so each dose will be 5 mL.
Step 3 :Multiply the number of doses by the mL per dose to find the daily dosage: \(3 \times 5 = 15\) mL.
Step 4 :Final Answer: The daily dosage is \(\boxed{15}\) mL.