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(Objective question)

A box of sticks of equal lengths is provided.

The minimum number sticks needed to build a frame to enclose a 3 dimensional volume is

1) 6





2)We can make cube with the help of 12 sticks.

It will definitely enclose 3 dimensional figure.

1)Also with the help of 6 sticks I can make tetrahedron

Here 3 sticks are require to make base

Also with other 3 sticks,its top is formed

I think it is the answer

3)According to me, it is not possible

4)It is rejected as I make 3 dimensional figure in option (1)

But suggest me the 3 dimensional figure formed by 8 sticks.

Am I doing right ????

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I'd say you did a good job! – Jerry Apr 22 '13 at 15:20
This question is under-specified. What is a frame, and what is the volume that it encloses? Also, your second "4)" should be "2)". – TonyK Apr 22 '13 at 15:21
Thanks , I corrected the mistake. – rst Apr 22 '13 at 15:24
I think frame means any arrangement of sticks which can be used for enclosing 3D volume. – rst Apr 23 '13 at 2:10
As in question "a 3 dimensional volume" is given . So this means any 3D volume – rst Apr 23 '13 at 2:12
up vote 2 down vote accepted

You are correct that a tetrahedron can be made with six sticks, so can ignore the choices 8 and 12. There doesn't have to be a solid with 8 sticks for the answer to be 6. But you can make one-a pyramid with a square base.

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thanks a lot for your reply. Its really helpful – rst Apr 22 '13 at 16:36

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