At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
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.
The tricky part is trying to represent this algebraically.
We have height*width*length=volume. What do you get when you plug in the known values?
What are the values.
Sorry i fail at math so bad.
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.
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?
Yeah i understand
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.
Ok Yeah im following
A square room implies width=length! Fabulous, this actually means we are only dealing with one unknown variable now instead of two!
8*x*x=1800 -> 8*x^2=1800!
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.
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
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.
The answer is 15 ft ?
Oh ok. Can you help me on part 2. im not sure if its correct.
And in your second part, the scale implies you divide everything by 72 to bring it into the representative scale.
i got 2.5 inches.
sorry...got mixed up between inches and feet
Yeah so i was correct.
I have Part c and Part D if your not busy can you take a look it it please?
Mm - wish I could but I've got to get back to studying for 3 math finals!
Oh thanks for your help.
Your in college?
Yeah...we call it University here in Canada ;)
Oh wow. Your one smart guy, well goodluck on your finals.