How many chairs can fit in a triangular space that is 15X15X15?
Monday, November 16th, 2009 at
7:32 pm
I’m planning my wedding ceremony for a space located by a lake. I have a triangular space. Each side of the triangle is roughly 15 ft. If chairs are 1.5 ft, how many chairs can I fit in that space?
Tagged with: chairs • triangle • wedding ceremony
Filed under: Your Community Center
Like this post? Subscribe to my RSS feed and get loads more!
the area of the triangle is 7.5^2+x^2=15^2
15^2= 225
7.5^2= 56.25
=> 56.25 + x^2 = 225 => 225 – 56.25 = 168.75
=> square of 168.75 = ~13
=> 13 * 15 = 195 feet squared.
Since the area of the chair = 1.5 * (1.5+0.5) = 1.5 * 2 = 3.5
=> 195/3.5 = 55.07104
You could fit 55 chairs.
PS. The (+0.5) was what I inculeded for extra space for people to actually sit and be comfortable.
area of space = .5basexheight
space is equalateral triagle base = 15. height = 158sqrt3/2
chair = 1.5*1.5 = 2.25
# area of space/area chair