Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

(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 ????

share|improve this question
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
add comment

1 Answer

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.

share|improve this answer
thanks a lot for your reply. Its really helpful –  rst Apr 22 '13 at 16:36
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.