19 September 2013

Solving number of faces on complex geometric solids



I'm receiving frequent requests for solving the question on "counting the number of faces" that appeared in CEED 2013 question paper (as shown below). This is a complex geometric solid, which will probably confuse you and will consume more time.

For this, I had given step-by-step solution in the form of pictures with arrows to locate the faces. Remember that you need to visualize this mentally, for arriving to the final answer without putting pen or pencil on paper to save time. 

You may get the downloadable format of this guide at the end of this page.

Question :




Solution :


Now, as discussed in my other posts (Working with geometric objects), we will count the number of faces following the order :

Front > Right > Back > Left > Top > Bottom

Let us now count the faces from front direction. As you can see I considered the semi-circular portion (numbered 5) as a single surface. So totally you will be counting 6 faces.



Now count the number of faces from the right direction as shown below. Note that I counted the two slant surfaces ( numbered 5 and 6) in this direction. You may even count the slant surfaces from front direction, provided you neglect the same from right side view. It's up to you to decide and count.




Counting for number of faces from back side will give four faces as shown in the below picture.



Counting from Left direction is a bit trickier, as you may visualize only one surface, but in fact you should be seeing two surfaces as shown in the picture below. Remember that the surfaces which are not in the same plane cannot be counted as a single face.



Now, we will count the number of faces that can be seen from top direction. You should be counting four faces as shown below.



Finally, you need to count the number of faces from bottom. I visualize only one surface, because all the individual shapes are in same plane. Thus summing up the counting in all directions, you should now get 23 as answer (option 2). I hope you enjoyed doing this.


Get the PDF format of this page - here


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Here's my video guide on how to easily solve number of faces problem and what mistakes to avoid



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25 comments:

  1. For those who are guest commenting here just for the sake of BACKLINKING,
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    ReplyDelete
  2. can you please post a link for more these type of questions.?

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  3. in this question you are not talking about bottom view????

    ReplyDelete
    Replies
    1. It's already mentioned (I mentioned that in written form instead of including image) after the last image. Pl check!

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  4. What are the common topics from nata and nid that might appear in uceed?

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    Replies
    1. I haven't gone through NATA and NID, so don't know what similarities exist

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    2. ya in NATA and NID , Uceed aptitude tests, gk and above types of questions are common but but but the level of the questions in NID(written test) or NATA is less than questions appearing in uceed so according to me if u prepare for uceed u do not need to study separately except nata , your drawing must be good for nata

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  5. What exactly does it mean when you say "not in same plane"? Please elaborate.

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  6. Then how come in the "Right" surfaces, the mirrored 'L' shape is counted as one surface?

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  7. Your blog is a great help not only to UCEED but also NID and NATA aspirants.
    Could you post sample papers of uceed(if any) as there is just one previous year question paper available.

    ReplyDelete
    Replies
    1. There are already very gud no. of UCEED papers in this blog, CEED Part A mock papers are also equally helpful for uceed as well as NID parts. You can check this pages for mock test -

      Complete UCEED collection page

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  8. since 1 and 4 are one same plane
    we will count them two different surfaces ??
    is it a rule ?

    ReplyDelete
    Replies
    1. 1 and 4 are not in the same plane! they are in different planes. Simple find is you can check at what level (height) they are compared with any reference (generally we can consider the bottom most solid plane - the plane on which the solid is assumed to rest as reference) , plane 1 is little raised in height in compared to 4. I hope you got now.

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  9. kindly if you suggest me something for block Counting,because I face a lot of problem in it.

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  10. its ans is 21 ?
    sir i am confused how 23 is ans ?

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    Replies
    1. What's there to confuse ? I've clearly indicated with arrows for all sides in the above images. Check and do let me know if u feel like I've repeatedly counted twice any surface. Btw where did u get this ans 21 ?

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  11. uh we have to count also curved surfaces right ?then it will be 23

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  12. I've had 2 questions at NID-DAT this term related the above question and i'm glad you posted this blog, It really helped me solving those 2 questions in seconds. Thank you again Sir. Cheers. :)

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  13. hey, i had a doubt whether we are supposed to count base surface too.....for counting no of surface?

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    Replies
    1. of course, that's comes as bottom surface

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    2. I've not showed that in image, but have mentioned that in the paragraph following the last image, u have to note that.

      Delete

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