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Dutchess_III's avatar

How many bases does a prism have?

Asked by Dutchess_III (47126points) March 1st, 2012

A question on a test a student took took today (exactly as written)
that caused me to go researching. Didn’t find a satisfactory answer.

Please be specific.

Thanks.

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12 Answers

lemming's avatar

I think it can have any number. I had a glass pyramid prism with four sides, two bases (if I understand correctly) a few years ago, and now I have one that hangs with eight ‘bases’... Hope that helps!

Dutchess_III's avatar

@rojo What if it’s an equilateral rectangular prism?

rojo's avatar

@Dutchess III By my way of thinking, it would only ever sit on one surface and that would be the “base”. the other surfaces are tops and sides. Although, I think by definition, @lemming is correct and the top is also called a base. Suspended prisms throw my theory for a loop however, then there are no bases only faces.
I think that this is one of those “it depends on what your definition of ‘is’ is” things.

Dutchess_III's avatar

But if the base and the sides are the same dimension, then the base could be interchangeable, no? How many bases does a cube have? I would say 6….

The program that we use for teaching frustrates the crap out of me. Sometimes they’re so vague, and sometimes they’re flat-out wrong. From what little I understand, a triangular prism has two bases but a rectangular has one. So when they ask, “How many bases does a prisim have,” it just leaves you scratching your head.

I can’t find anything on the internet to give me a definitive answer.

rojo's avatar

But what happens to that rectangular prism when you lay it lengthwise? Does it not then have 3 bases?

Dutchess_III's avatar

I don’t understand the question. If you have a cube it can sit on any side, and whatever side it’s sitting on would be the base at that moment…6 equal sides that can be a base if it really wants to be.

A rectangular prism would have 4 equal sides that could be a base, and two ends.

Rarebear's avatar

Wow, Dutch, I know you sent this to me, but I don’t know. It seems to me that a prism can have as many sides as you want it to—just look at, say, a diamond crystal. But I imagine that the answer of one is correct.

rojo's avatar

To my way of thinking, the “base” is whatever it is sitting on. Why would only the larger sides of a rectangular prism be the bases?

augustlan's avatar

Yeah, it seems to me that any flat/level surface could serve as a base, even if it’s the smallest part of the prism. As long as it could stand on that surface, it would count, to me. I don’t see how there could be one universal answer to that question. Weird that it was on a test. Are you sure it wasn’t “How many bases does this prism have?”, with an example of the particular prism included?

Dutchess_III's avatar

That sounds right to me too, but this dumb program that the students have to use said the correct answer was “2.” I could have understood 1, but I don’t understand 2. A rectangular prism has 6 sides…a Triangular prism has 4 sides (3 sides and the bottom)

Help somebody! Go get somebody! Go get Stevie Hawkings!!

Dutchess_III's avatar

@augustlan That’s a good question. I don’t think it did but I need to double check….I checked. It said “A prism has ____” and then there was a drop down box with the option of “1 base” or “2 bases.”

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