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"A tank measuring 45 cm by 24 cm and 27 cm was 1/3 filled with water at first."
so that means the water that is not filled in fractions → 1 - 1/3 = 2/3
2/3 volume (water not filled in)
→ 2/3 x length x breadth x height
= 2/3 x 45 x 24 x 27
= 19440 cm³
= 19.44 litres
"Dillon turned on a tap and let water flow into the tank at a rate of 1.35 l per minute. After 15 minutes, he turned off the tap."
tap water flowed in → 1.35 x 15 = 20.25 litres
water overflowed → tap water flowed in - water not filled in = 20.25 - 19.44 = 0.81 litres