A rectangular tank measuring 32.5 cm by 22.5 cm by 18 cm was 59\frac{5}{9}-filled with water as shown below. When Kamala poured 7 litres of water into the tank, some water overflowed. Find the volume of water that overflowed. Give your answer in litres. Ans: ___

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Worked solution

8

1. Calculate the total capacity of the rectangular tank

Capacity=32.5×22.5×18=13162.5 cm3\text{Capacity} = 32.5 \times 22.5 \times 18 = 13162.5 \text{ cm}^3

2. Find the volume of the empty space in the tank

Fraction of empty space=1−59=49\text{Fraction of empty space} = 1 - \frac{5}{9} = \frac{4}{9}
Volume of empty space=49×13162.5=5850 cm3\text{Volume of empty space} = \frac{4}{9} \times 13162.5 = 5850 \text{ cm}^3

3. Calculate the volume of water that overflowed and convert to litres

Volume of water added=7 litres=7000 cm3\text{Volume of water added} = 7 \text{ litres} = 7000 \text{ cm}^3
Volume overflowed=7000−5850=1150 cm3\text{Volume overflowed} = 7000 - 5850 = 1150 \text{ cm}^3
Volume in litres=11501000=1.15 litres\text{Volume in litres} = \frac{1150}{1000} = 1.15 \text{ litres}

Answer

1.151.15

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