# Two different cross sections are taken parallel to the base of a three-dimensional figure. the theo cross sections are the same shape but are not congruent. what is the three-dimensional figure?

QUESTION POSTED AT 01/06/2020 - 04:22 PM

QUESTION POSTED AT 01/06/2020 - 04:22 PM

Same shape => similar.

The sections could be either great or smaller in area.

The possible figures could be:

1. A cone (all sections are circles)

2. A truncated cone (all sections are circles)

3. A hemisphere (all sections are circles)

4. A pyramid of any base (triangle, square, pentagon,....)

5. A truncated pyramid of any base (triangle, square, pentagon,....)

There are still other less conventional shapes, but I suppose the above options should suffice.

The sections could be either great or smaller in area.

The possible figures could be:

1. A cone (all sections are circles)

2. A truncated cone (all sections are circles)

3. A hemisphere (all sections are circles)

4. A pyramid of any base (triangle, square, pentagon,....)

5. A truncated pyramid of any base (triangle, square, pentagon,....)

There are still other less conventional shapes, but I suppose the above options should suffice.

QUESTION POSTED AT 02/06/2020 - 02:02 AM

QUESTION POSTED AT 02/06/2020 - 02:02 AM

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QUESTION POSTED AT 01/06/2020 - 04:04 PM