Saturday, September 11, 2010

Volume P6 2010 SA2 RGS P2 Q11

A tank with a square base of side 60 cm, 80 cm tall, was 1/3 filled with water. (a) Find the volume of water in the tank (b) At 1 p.m., a tap was turned on to drain water out a rate of 10 litres per minute. 6 minutes later, another tap was turned on to fill the tank at 12 litres per minute. Find the volume of water in the tank at 1.10 p.m. [4 marks][Answer given: 96 litres or 96000 cm3, 44 litres]


60 x 60 x 80 = 288000 cm3
                    = 288 l

1/3 x 288 = 96 l

a) It ws 96 litres.

6 x 10 = 60

96 - 60 = 36 l

12 - 10 = 2 litres/min

4 x 2 = 8 l

36 + 8 = 44 l

b) It was 44 litres.

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