# Find the simple 3D solid associated with these views [closed]

Find the simple 3D solid associated with these views. It is given that there are no hidden lines (lines which are not visible from the side or top view).

• There is a range of answers for this although the two answers posted so far cite the most common geometry that fits the requirement. Sep 9, 2015 at 17:00
• No hidden lines. Sep 9, 2015 at 17:19
• @KinjalJain is that side view what the shape would look like from all 4 sides? Sep 9, 2015 at 17:45
• is the inner square of the top view actually a hole that passes entirely through the object? Sep 9, 2015 at 18:41
• Don't know why this is too broad. As far as I can tell there is only one correct answer that doesn't require hidden lines. I'd post it but you put it on hold for some reason. Sep 9, 2015 at 23:30

Modeled a solution in my CAD software. Here are some shaded views:

Just for completeness, here are the drawing views that this part produces:

Edit:

Just to clarify, the other solutions posted suggested this part as a solution:

However, notice the extra lines in the produced drawing. These lines would also appear in the "table with a hole in the middle" solution, so these are not correct.

• Yes! This is what I was trying to suggest, although I thought a half circle as the front profile might work instead of a bell curve. +1 from me! Sep 9, 2015 at 19:11
• I had a similar shape in mind with my "bell curve" answer.
– SQB
Sep 9, 2015 at 19:24
• Regarding the "hidden lines problem", you can simply fill the hole with a flat cube. The edges in the middle would remain as they are. Sep 9, 2015 at 19:32
• If you fill the hole with a flat cube to get rid of the hidden lines, you will also remove two of the solid lines from the top view. Sep 9, 2015 at 22:25

Could it be,

A table with a hole in the middle? The side view is the table turned upside down

• no...In that case there will be hidden lines in side view Sep 9, 2015 at 17:21
• @KinjalJain it could still be a table with two legs though Sep 9, 2015 at 17:28
• how would you get the inner square in top view then? Sep 9, 2015 at 17:34
• @KanakPatel Hmm I guess that would count as hidden lines. Sep 9, 2015 at 17:42

A 2 legged (thanks to Engineer Toast, it's simpler to draw) table with a hole in the middle.

• It could also be a two-legged table. Sep 9, 2015 at 16:59
• @EngineerToast Yes, but who would buy that? Maybe people buing a table with a hole .... Sep 9, 2015 at 17:00
• There are tables with two legs. Here's a square end table. Sep 9, 2015 at 17:02
• no.. assume that there are no hidden lines in them. Sep 9, 2015 at 17:22
• @Trenin Just to be pedantic, the asker did not specify the orientation of the side view. (╯°□°）╯︵ ┻━┻ Sep 9, 2015 at 21:29

EDIT: I trashed my crappy picture to ask a question instead. I don't know if anyone else will benefit from it, but I would like to learn personally.

In the picture below, if there was a hole through the center of the shape, the hidden lines would have to be show like this? I very well could be incorrect in my statement.

To my understanding @dberm22 and @alexmc pictures would have to be drawn like this because the lines making the hole are hidden behind the wall, which is not the original side view.

Please correct if I'm wrong and give a little explanation so I can screw my heads on right! -Thanks

Another thought was (Maybe this can help someone) if you look really close at the side view, you'll notice the inside of both the "legs" have a little extra line to them. I don't know if that's a mess up on the picture or if it has significant value to the solution!!

• Was looking at some comments from @SirParselot and saw mine would have hidden lines based off the hole in the middle. Doh. Sep 9, 2015 at 18:12
• Oh jeez, you're right. My drawings are missing hidden lines. Why didn't my CAD program alert me?? Thanks. Sep 9, 2015 at 19:09
• I'm curious to see the answer now if my thinking isn't wrong. That's a really tricky shape. Sep 9, 2015 at 19:32

Picture a cube. Remove a square cylendar from the middle so it looks like the top view. Now pass it through a half circle, or similar curve, cutting away much of the cube. The key is that the sides need to be cut down enough so that the center gap is showing like in the second picture.

From the front, it will look like a half circle. From the top, still looks like a square donut. And from the side, a U.

Sorry, I don't have any drawing tools at my disposal.