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# An order of magnitude problem to measure my bedroom.

I wanted to figure out how much liquid would fit in my bedroom.

I was lying in my bed one summer night, when I was struck with the urge to drink some water. I drowsily reached my hand up to the shelf above my bed with hopes of retrieving my water bottle and with it the moisture in my system. To my disappointment, I found my bottle capless and unrestrained, and in one fell swoop, I was covered in freezing drink. I started out of my bed with a cry, and the thought struck me; what if my bottle never stopped spewing water? I quickly made sure this wasn't happening, but my mind was stuck firmly on this theory. And so my mind remained, on one side afraid of destroying my living quarters with a flood of water, and on the other curious at whether or not my water bottle could precipitate such a deluge. To ease my mind, I decided to determine how many cups of water it would take to fill my room. So follow my studies:

I started by measuring my room in feet. I found my room to be 14 feet in length, 8 feet in width and 8 feet tall. By multiplying the length of the room by the width of the room, I established the area of the floor to be 112 square feet. I then multiplied the floor's area by the height of the room (112 x 8 = 896) which gave me the room's volume: 896 square feet.

I then determined that 7.4805 gallons of water fit into a square foot. I wanted to figure out this conversion on my own, and I searched for something small, square and non absorbent that I could use to convert an amount of water to an area, but I couldn't find any. I ended up finding the conversion online. By multiplying the square footage of my room by the gallon equivalent of one square foot, I found my room to have the potential to hold 6,702.528 gallons. There are 16 cups in each gallon, so by multiplying 6,702.528 by 16, I found that my room could hold 107,240.448 cups. That is alot of cups.

This project took me a little over an hour to complete, thanks for taking the time to read and rate this. :)6,700

#### 16 comments

great – fun

how were you able to determine the conversion for gallon/cubic foot?

guessing from the size of a gallon jug of milk the estimation seems a little high

I did an experiment – I filled a 4″ x 7.75″ x 11.5″ box with 6 quarts of water

1 Cubic foot is 144″x12″ = 1728″ cubic inches

my box is 365″ cubic inches

So my box is 365/1728 = 20% — hmmmm so 1/5 a cubic foot

so a cubic foot is 30 quarts which is 7.2 gallons

who knew!!

This looks like a very interesting idea, I give it a 10/10!

You were correct John, the conversion I had in there was for a cubic foot. I found the conversion online.

No - you were correct to use cubic feet conversion – and my experiment bears out that 7.5 gallons is correct – it’s hard to think 7 gallons of milk fit in a cubic foot – I would have guessed 5(at most)

Very unique project, plus very fun to read how this idea came to you.

10/10

I love the inspiration. It would be cool if you had done more of these problems.

7/10

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