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

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) (Show Source): You can put this solution on YOUR website!
She needs lengths to make the side of the base,
and more lengths to make the edges going from the vertices of the base to the apex of the pyramid/tetrahedron.
That is .
Dividing By , the whole number quotient is
, with a remainder of .
The largest tetrahedron she can build has sides,
and she will have a length of steel leftover.
RELATED QUESTIONS
Barbra made a clay sculpture that has a mass of 92 kg.Louis wants to make a similar... (answered by stanbon)

find what fraction of the altitude of a tetrahedron must be cut off by a plane parallel... (answered by KMST)

A sphere is inscribed in a regular tetrahedron. If the length of an altitude of the... (answered by Earlsdon)

calculate the length of steel rods required to make a cubical skeleton steel fram of edge (answered by rothauserc)

Welding: A type of steel sheet weighs 3.125 lb. per square foot. What is the weight of a... (answered by MathLover1)

The cost to make a sculpture is $0.75. A sculpture is for $14.50 each @ a craft store.He... (answered by richwmiller)

Jackson has the following pieces of scrap wood to make into a triangular shaped... (answered by Alan3354)

what is the approximate srface area of a regular tetrahedron with edge length 12 cm? (answered by Alan3354)

what is the approximate surface area of a regular tetrahedron with edge length 12cm ? (answered by nyc_function)