I have no idea how to do the question, as I have never done this type of question before, and the teacher just told us to do it. I need help to explain what is going on..
QUESTION:
A tropical fish tank is 55cm high, 1 metre wide and 40cm deep.
200L of water is poured in. When the stones are added, the water goes up by 2cm.
What is/was the water height?
Please help to explain how to do it! Thanks! :D
Update:I know I'll sound stupid, but why do you need to divide it at the end?
And also why is the height of the tank missed out ? (55cm)
Thanks for the answer though!!!!!!!!! :D
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Answers & Comments
Verified answer
Area of the base of the tank is 100cm x 40cm = 4000cm^2
200 litres = 200,000 cm ^3
so the water level would be 200,000 / 4000 = 50cm
and 52cm after the stones
So basically, first step is to convert everything in the same unit (meters make it easier):
height= 0,55 m
width= 1m
depth=0,4 m
You have the volume of the water: 200L=0.2 m3
Knowing that the volume formula is : height x width x depth and you need to calculate the depth of the water you get: 0,55 x 1 x d =0,2 ; d= 0,2/0,55=0.36 (ish) m
So, the water height before you add the stones is 36 cm. Add the stones, 38 cm.