anonymous
  • anonymous
An architect is designing a public storage building with two different sized storage units. The ceilings will be 8 feet high for each storage unit. A) All small storage units will have square floors the volume of each small unit will be 1,800 cubic feet. What will be the dimensions of each of these storage units? B) The ration of the dimensions in the architect’s drawing to the dimension of the actual small storage unit is 1 inch to 72 inches. How many inches of the architects drawing would represent the actual width of each small storage unit in Part A?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
So a room's volume is its height*its width*its length. We are given the height and the volume, as well as the fact that its width=its length. We can construct an algebraic equation with this information that will let us solve for the length and width.
anonymous
  • anonymous
Ok
anonymous
  • anonymous
The tricky part is trying to represent this algebraically.

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anonymous
  • anonymous
We have height*width*length=volume. What do you get when you plug in the known values?
anonymous
  • anonymous
What are the values.
anonymous
  • anonymous
Sorry i fail at math so bad.
anonymous
  • anonymous
That's ok, it just takes practice. So you know the rooms height and volume - its given to you in the question! Those are height=8ft and volume=1800ft^3.
anonymous
  • anonymous
Ok
anonymous
  • anonymous
Lets give these dimensions variable names so that we can better work with them. Lets call x width, y length, and w height. If x (height) = 8, then we have 8*x*y=1800 for our equation. Do you follow?
anonymous
  • anonymous
Yeah i understand
anonymous
  • anonymous
Now we have two unknown variables to solve for, which would be impossible usually except that in this case we have an extra bit of information that will help us. We are dealing with a square room.
anonymous
  • anonymous
Ok Yeah im following
anonymous
  • anonymous
A square room implies width=length! Fabulous, this actually means we are only dealing with one unknown variable now instead of two!
anonymous
  • anonymous
8*x*x=1800 -> 8*x^2=1800!
anonymous
  • anonymous
Whats that?
anonymous
  • anonymous
So since width=length, we have x=y. They are always going to be the same in a square room, so we can choose to use just one or the other.
anonymous
  • anonymous
so instead of 8*x*y, we can write 8*x*x or 8*y*y. I doesn't really matter, because since x=y they are all equal
anonymous
  • anonymous
Ok yeah
anonymous
  • anonymous
So the rest is algebra. You can divide both sides by 8, and take the square root of the left hand side to find your width and length.
anonymous
  • anonymous
The answer is 15 ft ?
anonymous
  • anonymous
Yep
anonymous
  • anonymous
Oh ok. Can you help me on part 2. im not sure if its correct.
anonymous
  • anonymous
And in your second part, the scale implies you divide everything by 72 to bring it into the representative scale.
anonymous
  • anonymous
so 15/72
anonymous
  • anonymous
i got 2.5 inches.
anonymous
  • anonymous
sorry...got mixed up between inches and feet
anonymous
  • anonymous
Oh
anonymous
  • anonymous
rather (12*15)/72
anonymous
  • anonymous
Yeah so i was correct.
anonymous
  • anonymous
Yep
anonymous
  • anonymous
I have Part c and Part D if your not busy can you take a look it it please?
anonymous
  • anonymous
Mm - wish I could but I've got to get back to studying for 3 math finals!
anonymous
  • anonymous
Oh thanks for your help.
anonymous
  • anonymous
Your in college?
anonymous
  • anonymous
Yeah...we call it University here in Canada ;)
anonymous
  • anonymous
Oh wow. Your one smart guy, well goodluck on your finals.
anonymous
  • anonymous
thanks

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