The Mysterious Cube & It'd Edges

<p>Can someone explain to me why it's 12 right angles?</p>

<p>There are 12 edges...so is it only 1 rt angle per edge?</p>

<p>Take a seat in big papa's lap. You naturally think that a cube has 24 right angles. Why don't you draw a cube and then count the number of DISTINCT right angles, marking off each one with a check or something. Then get back to me</p>

<p>Twenty-four check marks...? What is a raw angle?</p>

<p>Because the answer is 24 right angles.</p>

<p>If you want a non-math answer, I have a Rubik's cube in front of me and you can count 24 angles.</p>

<p>Remember: Faces are not edges.</p>

<p>Those of you saying infinity are thinking of the intersection of two faces, rather than the edges. If you have a wireframe model, edges only form angles at the corners, which means there are 24 angles.</p>

<p>If you want to think of it another way, a cube is composed of six squares. A square contains four right angles. A cube would therefore contiain 24 angles.</p>

<p>That's what I put, but this xyz-plane stuff is over my head. Sorry, I'm only in Calc AB. =)</p>

<p>Draw a cube if you haven't already.</p>

<p>At every point of intersection -- that is, at every corner -- there are three (3) right angles formed, one for each face of the cube intersecting at that point. There are eight (8) points of intersection, or edges.</p>

<p>Thus, 3 x 8 = 24 right angles</p>

<p>Zack, your a moron. There are 12 edges on a cube and therefore there must be 12 distinct right angles.</p>

<p>I just read for a fact that a cube has 24 angles. When referring to edges, does this change anything?</p>

<p>Sorry to be panicking but I've already missed 1. Still praying for that 790 w/ 760 as a safety-net (760 as prayer-score w/ 720 safety-net is horrifying!)</p>

<p>A cube does have 24 right angles.</p>

<p>Cookie: You are confusing yourself. You are thinking that the right angles are formed by the intersection of faces, not edges. If the question were asking faces, you would be correct because at every edge two faces intersect to form a right angle. However, this question refers to angles created by edges.</p>

<p>He's not a moron... there are 3 distinct right angles per. Imagine that you are facing a cube in front of you. One right angle faces you, another is to your east, and another is on the bottom of the cube (I'm using a bottom right corner as an example). I'm guessing you counted the one facing you and the one facing east, but didn't count the one on the bottom (right angle facing down). 3 per multiplied by 8 "corners" gives you 24.</p>

<p>Exactly. So cookie explain. I don't see 12, I see 24. So just seeing isn't good enough, because i see the "extra" ones. I'm not saying I don't believe you...I'm nervous I'll believe anything. But give some real proof!</p>

<p>Each cube have three pairs of two planes that are parallel to each other. These parallel planes also have corresponding vertices that are connected to its parallel counterpart by a line segment. Now, the angles at the connected vertices, do you count it one time or two times? If you count it two times, why not count it three, four, five, infinity number of times?</p>

<p>lol I feel like i'm forgetting what the question was now...anyone remember the wording?</p>

<p>i hope this question is thrown out...i mean, they could have made the wording clearer (i.e. "where the edges meet at the corner"...)</p>

<p>Cookie, you are just doing what I said you were doing in my previous reply. These are EDGES, not FACES. Edges are not planes.</p>

<p>CLEARLY, its 24 edges, i dunno why the hell anyone would think 12 edges, </p>

<p>OVIOUSLY there are 3 RIGHT ANGLES FORMED at each edge...</p>

<p>Yes, Heca is right... we're talking angles, not planes. Wait... am I wording it correctly?</p>

<p>First of all, there are only 12 edges and 8 corners.</p>

<p>Definition of an edge: A line segment where two faces of a polyhedron meet, also called a side. (Mathworld)</p>

<p>Original question: How many right-angles are formed by the edges of a cube? (Not by the faces, which would be 12).</p>

<p>I recall this question extremely clearly because I was going to put down 12, but then I realized it was the angles formed by the edges, not at the edges.</p>

<p>oh s h i t, i meant 24 ' right angles' my bad</p>