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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 > Triangular Prism

Geometry - Triangular Prism


Expert: Azeem Hussain - 9/17/2009

Question
how to find the surface area, volume and lateral area of the triangular prism if the height of the triangle is unknown

Answer
Hi Fatima!

Assuming you have the three sides of the triangle and the prisms height...
[a=side 1 of triangle
b=side 2 of triangle
c=side 3 of triangle
h=height of prism
s=(a+b+c)/2 (semi-perimeter of triangle)
z=area of triangle]

The triangle's area can be found by Hero's formula, which is:
z=(s(s-a)(s-b)(s-c))^(1/2)

At this point, you can find the volume as you would for any prism: base area times height.
V=hz

Lateral area is base perimeter times height.
LA=(a+b+c)h

Surface area is lateral area plus twice the base area.
SA=(a+b+c)h+2z

Thanks for asking,
Azeem

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