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About Azeem 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)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Comparing Prism Areas

Geometry - Comparing Prism Areas


Expert: Azeem Hussain - 5/16/2009

Question
the base of the right triangular prism is an equilateral triangle with a perimeter of 30 in. the base of right pentagonal prism is a regular pentagon of 30 in. both prisms are the same height but which one has greater lateral area. then i have to JUSTIFY MY REASONING. i know how to get all the sides of the bases and angles of the bases and i think the formula for LA is perimeter of the base times height.im not sure though. then i have to  figure out which one has the most surface area. i drew the figures but still need help. can you help me plz

Answer
Hey Matt,

Lateral area is the product of the base perimeter and the height.  Total surface area is lateral area plus the area of the two bases.  In this case, both prisms have equal base perimeters and heights, therefore they have equal lateral areas.  Because they have equal lateral areas, the only difference in their total surface areas comes down to their base areas.  Compare the base areas, that is triangle to pentagon, and the one with the larger base will have the greater total surface area.

Thanks for asking,
Azeem

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