Optimising a Triangular Prisim

J

JessicaDay

New member
Joined
Aug 17, 2015
Messages
5
How do you find the dimensions of a triangular prism with a volume of 800ml minimising the total Surface Area? I have not been provided with any dimensions..
:)
 
JessicaDay said:
How do you find the dimensions of a triangular prism with a volume of 800ml minimising the total Surface Area? I have not been provided with any dimensions.. :)
Click to expand...
Assume the sides of the triangle are a, b and c. Assume the height of the prism is H.

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting
 
Okay then this is what i have worked out so far,

V= 1/2 l x w x h
S.A. = 2(1/2b x h) + (S1 +S2 + S3) H * I DON'T KNOW IF THIS FORMULA IS CORRECT*

so from there you can work out the height maybe? --> h=800/1/2 l x w

S.A = 2(1/2b x h) + (S1 +S2 + S3) H
= 2(1/2 b x V / 1/2 l x w) + (S1 +S2 + S3) H
= 2(1/2 b x 800 / 1/2 l x w) + (S1 +S2 + S3) H

Now i am stuck from here
 
Formula

So this is what i have figured out,

v= 800ml
V= 1/2 l x w x h --> h = 800/1/2 l x w

S.A = 2(1/2 b x h) + S1 +S2 +S3
= 2(1/2 x b x V/ 1/2 l x w) + S1 +S2 +S3
= 2(1/2 x b x 800/ 1/2 l x w) + S1 +S2 +S3
 
You must log in or register to reply here.
Top