AboutAzeem Hussain Expertise I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.
I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.
Experience I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.
Publications Reflections, Riverside School Board (2005, 2006)
Education/Credentials Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.
Awards and Honors Pascal Math Competition, School Champion(2007)
Why is perimeter measured in units and area is measured in square units? Please give examples to clarify your explanation. Additionally, why would we measure volume in cubic units?
Thanks in advance.
ANSWER: Hi Dwayne,
When you're measuring perimeter you are only dealing with one dimension. If I asked you to find the perimeter of a square whose side measures 2 m, you would instinctively say it was 8 m. You would probably show your work like this:
p=4(2)
p=8 m
Now do it, but carry the units m throughout the calculation.
p=4(2 m)
p=8 m
In one dimension, this is trivial. Let's try in two. Find the square's area. Once again carry the units.
A=(2 m)(2 m)
A=4 mē
When multiplying meter by meter (m times m), you get mē. The same principle applies to volume.
v=(2 m)(2 m)(2 m)
v=8 m^3
Thanks for asking,
Azeem
---------- FOLLOW-UP ----------
QUESTION: Thanks Azeem. Just to follow-up on the last part of my question - why would we measure volume in cubic units?
Answer Dwayne,
Reread the last part of my answer. It's essentially the same as with area, but in three dimensions. Volume would be found by, say, multiplying length by width by height. If these are all measured in meters, then you have (m)(m)(m)=m^3.
