SOLUTION: As part of a sculpture,a girl wants to make a tetrahedron by welding together lenghts of steel.she has a 20m length of steel to use and she wants the sides of the tetrahedron to be

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: As part of a sculpture,a girl wants to make a tetrahedron by welding together lenghts of steel.she has a 20m length of steel to use and she wants the sides of the tetrahedron to be      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1018735: As part of a sculpture,a girl wants to make a tetrahedron by welding together lenghts of steel.she has a 20m length of steel to use and she wants the sides of the tetrahedron to be whole numbers of metres.what is the lenghs of the side of the largest tetrahedron she can build?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
She needs 3 lengths to make the side of the base,
and 3 more lengths to make the edges going from the vertices of the base to the apex of the pyramid/tetrahedron.
That is 3%2B3=6 .
Dividing 20 By 6 , the whole number quotient is
highlight%283%29 , with a remainder of 20-6%2A3=20-18=2 .
The largest tetrahedron she can build has highlight%283m%29 sides,
and she will have a 2m length of steel leftover.