Maths trivia

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9 years 1 month ago #35022 by Stikkibeek
Maths trivia was created by Stikkibeek
Here's a brain teaser for the maths genius' amongst us.......or those that think they are!

6,250 litres of rain collected in 24 hours off 200 sqm roof. How many cm of rain is that!

Did you know, that what you thought I said, was not what I meant :S

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9 years 1 month ago #460072 by Megan
Replied by Megan on topic Maths trivia
1cm (10mm) of rain on 1 square metre of roof yields 10L water, therefore divide the litres collected by 10, divide the answer to that by 200, equals 3.125cm or 31.25mm.

We've had about the same over the last 24hrs too!

Megan

The nice part about living in a small town is that when you don't know what you are doing, someone else does.
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9 years 1 month ago #460075 by Aquila
Replied by Aquila on topic Maths trivia
Wow Megan you made that harder than you had to.

6250 divided by 200 (Sqm roof area) = 31.25mm so 3.125cm

Sent from my GT-I9300 using Tapatalk 2

Edited to appease spoook

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9 years 1 month ago #460078 by spoook
Replied by spoook on topic Maths trivia
Aquila, I do not think "Wow Megan you made that harder than you had to." was a fair comment.
The details given gave the reason for the calculation and not just produced the answer. Stikki now knows how to calculate from Megan but only knows the answer from you. (might have helped had you not hit the shift key when displaying the divide slash for it to come out as a question mark [;)])

There are no bad questions only those that are not asked.
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9 years 1 month ago #460080 by Aquila
Replied by Aquila on topic Maths trivia
Its a divide sign on my phone....... Maybe just not displaying correctly your end

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9 years 1 month ago #460085 by Ruth
Replied by Ruth on topic Maths trivia
But was the roof area flat?

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9 years 1 month ago #460086 by muri
Replied by muri on topic Maths trivia
Yes, and if not flat, what was the orientation of the roof and which direction was the rain coming from.
There is a huge difference if you have a west facing roof and the rain is coming from the west, but when it comes from the east, that tank will get a lot less water in it than if the rain was coming from the west

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9 years 1 month ago #460114 by Aquila
Replied by Aquila on topic Maths trivia
(deleted) (censored)

Neither of your questions are really relevant as the captured water is being measured not the rainfall.

If you know how much rainfall you got I can calculate how much you actually managed to collect.

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9 years 1 month ago #460116 by eelcat
Replied by eelcat on topic Maths trivia

Megan;461636 wrote: 1cm (10mm) of rain on 1 square metre of roof yields 10L water, therefore divide the litres collected by 10, divide the answer to that by 200, equals 3.125cm or 31.25mm.

We've had about the same over the last 24hrs too!

Haven't checked our gauge but we did get quite a bit judging by the lakes we now have!

1 Border collie, 1 Huntaway, 2 Lhasa Apsos, Suffolk and arapawa ewe crosses, an Arapawa ram,an East Friesian ewe , 5 cats, 42 ducks , 1 rooster and 30 hens, 5 geese, 12 goats, 2 donkeys, 2 house cows, one heifer calf, one bull calf, 3 rabbits and lots and lots and lots of fruit trees...

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9 years 1 month ago #460122 by Stikkibeek
Replied by Stikkibeek on topic Maths trivia

Aquila;461683 wrote: Bit of a desperate housewife thing going on here now?

Neither of your questions are really relevant as the captured water is being measured not the rainfall.

If you know how much rainfall you got I can calculate how much you actually managed to collect.


And those questions matter not a jot, because even a rain gauge placed in a good pozi will have more rain hitting one side, than the other, but the measurement is still relevant. Also, 200Msq is still 200Msq whether is it flat or pitched.

You can be assured of the accuracy of 6250L as the tank is 1/4 full now and it was empty. Since it is a 25,000L tank, 25000/4=6250

I like Megan's answer the best, as by showing how she worked it out, shows logical sequence, and knowledge. Just the sort of thing that math's challenges in schools look for. We have an inter school mathex coming up sometime this year.

Did you know, that what you thought I said, was not what I meant :S

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9 years 1 month ago #460123 by Aquila
Replied by Aquila on topic Maths trivia
You're aware the tank is full at the start of the dome, not full to overflowing?

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9 years 1 month ago #460126 by Stikkibeek
Replied by Stikkibeek on topic Maths trivia

Aquila;461692 wrote: You're aware the tank is full at the start of the dome, not full to overflowing?

Sent from my GT-I9300 using Tapatalk 2

Yes.

Did you know, that what you thought I said, was not what I meant :S

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9 years 1 month ago #460128 by muri
Replied by muri on topic Maths trivia
Actually stikki, it does matter what the pitch of your roof is and the direction of the rain but this wont affect the rain gauge at all, if its level is above the surroundings - thats how rain gauges work they can measure wherever the weather comes from.
When we get easterly rain, my water tank on my west sloping roof collects next to no water so orientation and pitch will make a huge difference to what is collected

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9 years 1 month ago #460139 by skyline_glenn
Replied by skyline_glenn on topic Maths trivia

Stikkibeek;461691 wrote: Also, 200Msq is still 200Msq whether is it flat or pitched.


BUt is the actual roof 200 sq/m or is the house 200 sq/m?
A 200 sq/m house with a 45degree roof plus over hangs will measure alot more than 200 sq/m[;)]

Glenn
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9 years 1 month ago #460146 by Stikkibeek
Replied by Stikkibeek on topic Maths trivia

skyline_glenn;461708 wrote: BUt is the actual roof 200 sq/m or is the house 200 sq/m?
A 200 sq/m house with a 45degree roof plus over hangs will measure alot more than 200 sq/m[;)]

I see what you write, but would you say to your maths teacher; to the question what is 12x4?
"Sir is the actual figure 12, or does it overhang due to a variation and therefore make 14?" I didn't give you any extranious information, with the exception of 24 hours, which while making the problem to solve more interesting, is unimportant in the equation.

Did you know, that what you thought I said, was not what I meant :S

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