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 TOPICS This page:   higher-dimensional   geometry    Search   Dr. Math See also the Dr. Math FAQ:   geometric formulas Internet Library:   higher-dimensional   geometry HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry Browse High School Higher-Dimensional Geometry Stars indicate particularly interesting answers or good places to begin browsing. Selected answers to common questions:     Do cones or cylinders have edges?     Latitude and longitude.     MaximizIng the volume of a cylinder. Changing Angle of a Tank [06/11/2003] Points A and B represent pressure sensors in fixed positions on the base of a round tank. The chord through CD represents the water level in the tank. Lines a and b are the heights of water registered by each sensor... Cones, Pyramids: Surface Area and Volume Formulas [03/11/2003] How do you get the formula for surface area and volume for cones and pyramids? Coordinate Systems, Longitude, Latitude [04/19/1997] Can you explain pitch, roll, and yaw to me? Are there other systems for measuring an object's position in space? Does a Cone have an Edge? A Vertex? [03/12/2002] Our 4th grade math textbook defines a cone as "A solid figure with one circular face and one vertex." This sounds reasonable until you read the textbook's definitions for face, edge, and vertex. Fourth Dimension [05/13/1997] Can you help me understand the fourth dimension? HyperCubes [3/21/1996] Do you folks know of any videos that show the hyper-cube in action that would be appropriate for the high school level? Is a Sphere 2-D or 3-D? [8/8/1996] Is a sphere a two- or a three-dimensional object? Number of Cylinder Edges [04/01/2002] My son was asked "how many edges are there on a solid cylinder?" on a recent math examination. His answer was "2" and it was marked incorrect. Three-dimensional Plane Diagrams [03/10/1999] Draw: two parallel planes with another plane intersecting them; two parallel planes with an intersecting line. Volume equations for a sphere and pyramid [6/10/1996] I am now thoroughly confused: we just learned the formulas for volume of a sphere and volume of a pyramid, but, he wouldn't tell me how to do it. Volume of a Pyramid [05/16/1999] Can you give a step-by-step proof for the volume of a pyramid? 3D Figures and Intersections [03/04/1999] Determining whether a line and plane intersect, and where, using vectors. 3D Geometry [11/17/1997] You can draw a line of minimum distance between and perpendicular to two lines in 3space. I know how to get the distance and direction of this line, but I want to locate the line in 3space so that I can find its midpoint. A 3-D Object that Fits 3 Holes [06/03/1999] How can I make an object that can fit in 3 holes of different shapes, blocking all light, and sliding all the way through without forcing it? 3-D Shape That Can Be a Circle, Square, or Triangle in 2-D [09/08/2006] Is there a shape that can fill and pass through a circular hole, a square hole, and a triangular hole? The 4th Dimension [2/10/1996] In my Geometry class we read the book, Sphereland . I couldn't visualize Overcubes and Overspheres. Even though I know we really shouldn't be able to see 4D figures, just as 2D creatures can't visualize 3D creatures, is there any way you could describe an oversphere? Adding a 6-Inch Layer of Gravel [03/13/2003] Your company is constructing a soccer field for a high school. The field is 110 yards long and 80 yards wide... Angle Between Two Points on the Globe [7/17/1996] Given their longitude and latitude, how can you determine the angle in radians between two cities? Angle Between Two Sides of a Pyramid [10/29/1999] How can I compute the angle formed by two sides of a frustrum of a pyramid? Area and Volume of a Football [3/28/1995] How would one find the area of a football? Or then again, how would one find the volume of a football? Area and Volume of a Pear [6/4/1996] How do you find the area and volume of a pear? Area and Volume of Cuboid [09/09/2002] How can I find the new volume and surface area of a cuboid after its volume has been reduced by 10%? Area of a Cone [11/5/1994] What is the area of a cone when given the height and the angle at the convergence point? Area of a Pentagonal Pyramid [11/16/1995] I would like to know the area of a pentagonal pyramid. The dimensions of the sides of the base are 5cm ea. and the height is 23cm. The Area of a Roof [05/18/2002] How can I determine the area of a hipped roof for a building 100 feet long and 80 feet wide, with a pitch of 6/12, and 3 feet of overhang for the eaves? Area, Volume of a Cone [6/4/1996] What are the formulae to find the volume and area of a cone? Bases and Faces [12/05/2001] I can't figure out the difference between a base and a face on the shapes we are learning. Bearing Between Two Points [12/19/2001] Is there an easy way to calculate the "heading" (relative to North=0) between two coordinates? Bearing Calculation [09/01/1997] Given two cities at geographic coordinates (xA,yA) and (xB,yB), is there a formula to calculate the bearing from city A to city B? Beyond the Third Dimension [5/16/1996] I am searching for information on 'beyond the third dimension'. Beyond Three-Dimensional Geometry [06/17/2001] If the first dimension is a line and the second dimension is a flat figure, the the third dimension is, say, a cube, then what is the fourth dimension? What is the fifth dimension? Board Feet from a Log [03/19/2003] What is the board feet of a 10-foot log if the diameter is 16 inches at one end and 14 inches at the other end? Box for a Ball [09/26/2002] The volume of a ball is 36pi cm^3. How do I find the dimensions of a rectangular box that is just large enough to hold the ball? Bricks to Cover a Steeple [08/23/1997] How many 6"x12" bricks would it take to cover an octagonal steeple with a diameter of 130 ft. and a height of 370 ft? Building a Cone [01/28/2002] I am trying to draw cone (frustum) with a larger radius size. Building a Cone [10/28/2001] I am trying to find a formula for building a cone for a chimney flashing. It should be 21" tall with a top opening of 8", a bottom opening of 20", and a vertical seam overlap of 2". Building a Manger [12/03/2001] Given a base of 11" and two walls 7 1/2' and 6" high, both meeting the base a 90-degree angles, what is the length of the roof and what are the angle measures where the walls meet the roof? Building a Skateboard Ramp [9/19/1995] I'm trying to build a skateboard ramp, pyramid with flat top, height one foot, angle of ascent thirty degrees, other angles ninety degrees and sixty degrees. Building a Wooden Square-Based Pyramid [01/26/2001] I want to build a wooden pyramid with a square base 8"by 8". CADAEIBFEC and Other NCTM Questions [10/27/1998] CADAEIBFEC is a mnemonic for an important piece of mathematical information. What is it? Page:  1  2  3  4  5  6  7  8  9 10 [next>]

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