Topic: tetrahedron list of topics
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26 items are filed under this topic.

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	A regular tetrahedron		2017-03-12
		From Jeramie: When we have a regular tetrahedron, is it always true that all the angles of the triangles measure 60 degrees? Answered by Penny Nom.
	The surface area of the tetrahedron		2012-04-04
		From youssef: how to find the total surface area of the tetrahedron ? Answered by Penny Nom.
	The volume of an irregular tetrahedron		2012-02-22
		From Brittany: If I am given an irregular tetrahedron with the coordinates of the 4 points how do I find the volume? For example I am asked to find the volume and only given the points A(-4,-3,5), B(2,-1,2), C(0,-5,0), and D(-2,0,0) can you shown me the working and formular to find the volume? Answered by Robert Dawson.
	The volume of a closed 3D mesh object		2009-09-10
		From Ozen: I want to calculate the volume of a closed 3D mesh object having a surface made up triangles. Answered by Robert Dawson.
	A triangular pyramid		2009-02-06
		From kamran: what would be an example of a triangular pyramid Answered by Stephen La Rocque.
	A truncated tetrahedron		2009-02-05
		From Brad: If you take a regular tetrahedron and truncate it so you keep the original three 60degree angles around one vertex but the legs originating from it become any three consecutive terms of the Fibonacci series the new base is one triangle of a pentagon. I want to know the height of the new pyramid relative to its new base and the angles between the base and the other three sides. Answered by Robert Dawson.
	Triangular prisms and pyramids		2009-01-10
		From KJ: What are some items found in a home or school that could be considered a triangular prism or triangular pyramid? Answered by Robert Dawson and Penny Nom.
	Angles in a regular tetrahedron		2008-08-07
		From Carla: Hi guys, A regular tetrahedron has all its edges 8cm in length. Find the angles which an edge makes with the base. Thanks. Carla Answered by Penny Nom.
	An irregular tetrahedron		2008-04-24
		From RAUL: I am looking an expression for an edge length as function of the other five edge lengths of irregular tetrahedron. Answered by Walter Whiteley.
	Scalar triple product and volume of a general tetrahedron		2007-08-03
		From Anurag: how do you prove that volume of tetrahedron= 1/12 times scalar triple product of vectors a,b and c? Answered by Stephen La Rocque.
	An irregular tetrahedron		2007-05-06
		From Carrie: Assume a tetrahedron (not regular) with vertices A, B, C, O, in which vertex A is at (0,0,0) in Cartesian space, line-segment AB is the x-axis, and face ABC defines the x-y plane (but no edge is parallel to the y-axis). Assuming that the xyz coordinates of O are all positive, and given the lengths of all of the line-segments (AB, BC, AC, AO, BO, CO), but none of the angles, what is the formula for calculating the xyz coordinates of O? Answered by Penny Nom.
	Iago the Insect lives on the surface of a regular tetrahedron		2006-12-29
		From Cassie: Iago the Insect lives on the surface of a regular tetrahedron with edges of length 4 inches. He wants to travel on the surface from the midpoint of one edge to the midpoint of the opposite edge. What is the length of the shortest possible trip for Iago to do this? Two edges in a tetrahedron are opposite if they do not share a common endpoint! Answered by Walter Whiteley.
	The volume of an irregular tetrahedron		2006-12-06
		From Hai Van: Could you please show me the way to calculate the volume of an irregular tetrahedron Answered by Penny Nom.
	What defines a pyramid?		2006-04-25
		From Julie and son: My son and I think that a pyramid can have any number of sides, but my son's teacher says a pyramid has just 4 sides (including the base). Who's right? Answered by Stephen La Rocque.
	I want to place four sticks equal distance apart into a tennis ball.		2005-12-13
		From Bev: I want to place four sticks equal distance apart into a 3 inch tennis ball. The circumference of the ball is 9 inches. Where should I place the sticks and how many inches apart. Answered by Chris Fisher.
	The volume of a tetrahedron		2004-02-03
		From Joseph: How do I calculate the volume of a bird tetrahedron. I'm trying to find out to get extra credit. I came with this idea while making a origami tetrahedron. Joseph P.S. Do you by any chance have instructions for orig ami figures. If you do, please send me some. Thanks! Answered by Penny Nom.
	The volume of an irregular tetrahedron		2003-11-24
		From Peter: How do I calculate the volume of an irregular shaped tetrahedron where:- side a = 1.4 m side b = 1.4 m side c = 1.2 m and height = 0.75 m at the junction of sides a and b. Answered by Penny Nom.
	A triangular pyramid		2001-05-14
		From Kumar: In a Pyramid OABC, all the three sides of the base: a, b, c are known. Also known are the angles between the three sides from the vertex O: Angles AOB, BOC, COA. With this information, is it possible to calculate the lengths of the three sides: OA, OB & OC. Answered by Chris Fisher.
	The bond angles of a tetrahedral polygon		2001-03-14
		From Nishi: how do i prove (a simply as possible) why the bond angles of a tetrahedral polygon are 109.5 degrees? *i already have two explanations that i don't understand. one is about "theory of dot products" and "vectors" and a hook-like symbol w/ a cosine, and the other has an incomprhensible diagram w/ difficult notation- PLEASE BE SIMPLE! thanks sooo much Answered by Harley Weston.
	Triakis		2001-02-17
		From Anne Grant: I am a grade 8 teacher and have come across the term "Triakis" used with Tetrahedron, octahedron, and hexahedron. What does this term refer to, and what's the difference between a triakis polyhedron and one that is not? I'd also like to know what is meant by the term antiprism, as opposed to prism. Answered by Penny Nom.
	Cannonballs		1999-01-27
		From Roger King: How many cannonballs can be stacked in a triangular pyramid? Answered by Penny Nom.
	Platonic Solids Surface Area		1998-12-02
		From Rachel Bidwell: How do you find the surface area of the 5 platonic solids, when they each have a volume of one cubic inch Answered by Harley Weston.
	A tetrahedron inscribed in a cube		1998-11-18
		From Jane: In analyzing a cube, I would like to find a tetrahedron inscribed in the cube which has none of its faces in the planes of the faces of the cube. I would like to see this tetrahedron outlined in the cube. My name is Jane and my e-mail address is BARSOIAN. I am an elementary education student. Answered by Walter Whiteley.
	Three Spheres		1997-01-14
		From Alan Schnerch: Three spheres of diameter 2 are placed on a level surface so that each sphere touches the other two. A fourth sphere, also of diameter 2, is placed on top of the other three so that it touches all of the other spheres. The distance from the level surface to the highest point of the top sphere is . . .. Answered by Chris Fisher and Harley Weston.
	What is the volume of a regular tetrahedron?		1996-10-21
		From Paul Bleier: How does one calculate the volume and the height of a three sided pyramid formed by equilateral triangles? Answered by Bruce Gilligan.
	Volume tetraedre		1998-02-13
		From Solecki Yannick: j`aimerais savoir s`il existe une formule de calcul simplifie pour trouver le volume du tetraedre en fonction de ses cotes et sans utiliser une expression matricielle. Answered by Chris Fisher.

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