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What is the shape of the cross section of the triangular prism in each statement?

 

1. A triangular prism is sliced so the cross section is parallel to the base.

Options: circle, triangle, trapezoid, or rectangle 

 

2. A triangular prism is sliced so the cross section is perpendicular to the base.

Options: circle, triangle, trapezoid, or rectangle

 

Thanks so much!

Guest May 31, 2017
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8+0 Answers

 #1
avatar+90581 
+2

What is the shape of the cross section of the triangular prism in each statement?

Your question does not state which side it is calling the base! Therefore there can be no definitive answers!

Whoever wrote this multiple choice question should be given a stern talking to. LOL

 

You need to specify whether you are calling the base a triangle or a rectangle.

Then you can answer these questions yourself.

If you post your answers someone will tell you if they are right. (I will if I see your post)

 

 

1. A triangular prism is sliced so the cross section is parallel to the base.

Options: circle, triangle, trapezoid, or rectangle 

 

2. A triangular prism is sliced so the cross section is perpendicular to the base.

Options: circle, triangle, trapezoid, or rectangle

 

Here are some pictures of some triangular prisms

 

Melody  Jun 1, 2017
 #2
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0

My teacher asked this question, I apologize. The base of the triangular prism is going to be a rectangle.

Guest Jun 1, 2017
 #3
avatar+90581 
0

ok well look at the pictures and tell me what you think the answers will be.

OR what they cannot be.

 

Do you know what perpendicular and parallel mean?

 

:)

Melody  Jun 1, 2017
edited by Melody  Jun 1, 2017
 #4
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+1

Well, it cannot be a trapezoid or a circle, that's for sure

Guest Jun 1, 2017
 #5
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+1

Parallel to the base would be a triangle.

Perpendicular to the base would be a rectangle.

Right?

Guest Jun 1, 2017
 #6
avatar+90581 
+1

Thanks for answering :)

You are right, it certainly cannot be a trapezoid or a circle :)

 

If the base is a rectangle and  you chop it parallel to the base, that means in the same direction as the base, (sideways) then you will get smaller and smaller rectangles.  Can you see that?

 

If you chop it perpendicular to the base, that is like the chocolates in a toblerone bar are divided, then each cros section will be a triangle, exactly the same as the triangle at the front. :)

 

Think about it :)

Melody  Jun 1, 2017
 #7
avatar+4728 
+3

This image may help. To look at a cross section, imagine slicing through it with a knife, and look at the shape you just formed from the slicing.

 

 

 

 

Also, I have a tip for how to remember parallel from perpendicular.

The two L's in " Parallel " are two parallel lines! smiley

 

To Melody, I have a question...aren't there two ways to get a perpendicular cross section???

hectictar  Jun 1, 2017
edited by hectictar  Jun 1, 2017
 #8
avatar+90581 
+1

YES you are absolutely right Hectictar. Nice correction :))

Give yourself another point becasue I can't.  

You should give your self points for all your good answers, most other people do ;))

Melody  Jun 1, 2017
edited by Melody  Jun 1, 2017

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