Tuesday, January 4, 2011

Nana's Fish Tank: Volume Problem

PROBLEM:
If Nana wanted to change all the water in the fish tank, how many large bottles worth of water would it take?

WHAT WE KNOW:
1. One water cooler bottle is equal to 5 US gallons. Using a converter we calculated that this is 18.9 litres.
2. One litre of water weighs 1 kilogram (I found this out with a previous experiment).




SOLUTION:
1. How big is a litre?
  • We measured a litre carton of milk, using a tape measure.
  • It is 7.3cm x 7.3cm x 20 cm high
  • 7.3 x 7.3 = 53.29 cm²
  • 53.29 x 20 = 1,065.8, we rounded that off to 1,000cm³
  • Conclusion: 1 litre is equal to 1000cm³

2. How big is the fish tank?
  • We measured the tank and it was 44cm wide, 52 cm high and 88 cm long
  • 44 x 52 x 88 = 201,344 cm³ or aprox 200,000 cm³
  • Since one litre equals 1000cm³ then 200,000 ÷ 1000 = 200
  • Therefore there are 200 litres in Nana's fish tank

3. How many jugs of water are needed?
  • We know that one jug is 18.9 litres so 200 litres ÷ 18.9 = 10.5
  • Therefore we will need aprox 10.5 jugs of water.

THINGS WE FOUND OUT:
1. 1 litre is equal to 1000 cm³ , we can use a tape measure to figure out the volume of something in litres.

2. If it is water we can also figure out how much it weighs because we know that 1 litre of water weighs 1 kg.

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