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Mathematics 14 Online
OpenStudy (anonymous):

Last one for the night! Part A: Name the polyhedron that Tiya will get if she folds up the net. Part B: Is this a regular polyhedron? Using complete sentences, justify your answer.

OpenStudy (anonymous):

OpenStudy (anonymous):

Part A: rectangular prism.

OpenStudy (anonymous):

What makes it a rectangular polyhedron? Because the length is longer than the width?

OpenStudy (anonymous):

Part B: A polyhedron is a geometric solid in three dimensions with flat faces and straight edges. All prisms are considered to be polyhedrons. Thus, a rectangular prism is a polyhedron.

OpenStudy (anonymous):

Theres your answer to your question and Part B.

OpenStudy (anonymous):

There's*

OpenStudy (anonymous):

Was what I said right about part A?

OpenStudy (anonymous):

And I think part B was asking if it was a regular polyhedron or not haha

OpenStudy (anonymous):

No, it's a polyhedron due to the geometric shape of a rectangular prism. All prism have flat surfaces and straight edges. that's why prisms are considered to be polyhedrons. That's the main characteristic of being a polyhedron.

OpenStudy (anonymous):

All prisms*

OpenStudy (anonymous):

Thank you! :)

jimthompson5910 (jim_thompson5910):

For part B, it's a polyhedron, but it's NOT a regular polyhedron. In order for a polyhedron to be a regular polyhedron, all of its faces need to be congruent polygons. Since that's not the case here, it's not a regular polyhedron.

OpenStudy (anonymous):

Ah, @jim_thompson5910 is absolutely correct. I missed that. Thanks for correcting me. @missashleyn, it's not a regular polyhedron for the reasons stated above by @jim_thompson5910

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