1 hectare is 10000 $m^2$ not 100
Hi,
I have this problem that I can't figure out. I've had quite a few attempts, but am really not sure where I'm going wrong. It's a simple question, so I'm sure it's something silly I'm doing...
Anyway,
A flash flood left a 200 hectare property ankle deep (100 mm) in water. How much water is this in mega litres? (1 hectare = 100m x 100m. 1 litre = 1000 cm^{3})
So, if 1 hectare = 100m^{2}, then 200 hectare = 20,000m^{2}.
Based on this, to determine the volume of water, we could multiply the area by the height of the water - 100mm, or 0.1m. 20,000m^{2} * 0.1m = 2,000m^{3}.
I now have to convert this to litres, and by knowing that 1L = 1cm^{3}, I should convert m^{3} to cm^{3}. 1 m3 = 1,000,000cm^{3}, so 2,000m^{3} = 2,000,000,000cm^{3}.
Now, if 1 L is equal to 1000cm^{3}, then 20,000,000,000cm^{3} = 2,000,000L.
Then, if 1 Megalitre = 1,000,000 L, then 2,000,000L = 2 megalitres.
However, according to the quiz sheet, this is incorrect...Could someone please explain?
,
I was replying to astuart not to you. I can see what you did but without explanation it might not make sense, your "without thinking about it" approach doesn't help much with understanding.
My post was a follow on from romsek's.Post #4 was trivial and irrelevant.
Your post might not have been clear. You can't seem to see it from the perspective of someone who doesn't understand unit conversion. It looks like gibberish if someone is missing just a bit of understanding of what you are doing. For example, depending on what level of pre-university they are in they might not have used dot notation as multiplication. My opinion was that you took too much pre-requisite knowledge for granted and that it might not be understood so assuming that your post was overlooked because it was confusing he would have romsek's hint and my hint which correct his mistakes allowing him to finish the problem by himself.
I am here to teachIf you have a different way, use it.
How about:
(mi/gal)gal=mi, does that require explanation?
ex: (5mi/gal)3gal=15mi
Let’s get “advanced:”
(mi/gal)(1.609km/mi)(1gal/3.79L)=.434km/L
1mi/gal=.434km/L
5mi/gal = 5(.434km/L) = (2.17)km/L, or
5mi/gal(.434km/L)/(1mi/gal) = (2.17)km/L, or, directly:
(5mi/gal)(1.609km/mi)(1gal/3.79L)= (2.17)km/L
I look forward to OP’s solution using your’s and romsek’s guidelines.
I will admit it's easier to "see" if you can write the terms as a over b instead of a/b.