Posts Tagged ‘height’
Thursday, November 19th, 2009
Finding the Altitude of a Triangle
Description
A detailed tutorial on how to find the altitude of a triangle. Step by step tutorial including several examples of how to find the altitude of a triangle for reference.
Overview
The altitude is just a way of saying the height of something. Typically, the term altitude is only used to refer to triangles. In triangles, the altitude is a little different from the height. Unlike the height, the altitude can be taken from three points of the triangle – it can be taken through the center of any of the three vertexes of the triangle. The altitude goes from the vertex to the line across from it, forming a right angle with that line. All three altitudes should intersect at a common point in the center of the triangle, known as the orthocenter.
Tags: altitude, angle, center, edge, Geometry, height, intersect, line, orthocenter, perpendicular, point, triangle, vertex
Posted in Geometry | No Comments »
Tuesday, November 17th, 2009
How to Find Slant Height
Description
A detailed tutorial on how to find the slant height. Step by step tutorial including several examples of how to find the slant height for reference.
Overview
The slant height is an additional measure of height that is used for the different types of triangular prisms. The common traingular prisms are your typical pyramid, and cones. On a pyramid, the slant height is the height of one of the triangular faces. On a cone, the slant height is to be found using a formula that is only for the cone. It is the square root of the radius squared added to the real height squared.
Tags: 3D, base, cone, face, figure, geometrical, Geometry, height, polyhedron, prism, pyramid, shape, side, slant, triangle, triangular
Posted in Geometry | No Comments »
Tuesday, October 13th, 2009
Overview of Superelevation
Description
A detailed tutorial on superelevation. Step by step tutorial including a visual example of superelevation of a road for reference.
Overview
The superelevation of a road or of a railway is the difference in elevation between the two edges. A non-zero superelevation – meaning that the edges of the road or railway are at different heights – allows for a bank turn, letting vehicles traverse the turns at higher speeds than would otherwise be possible. Superelevation is sometimes referred to as the cant of a road or railway. An important calculation in superelevation is the maximum speed of a vehicle on a curved road. It is determined by the formula 
.
Tags: algebra, banked turn, camber, cant, cross slope, curved, edges, elevation, height, Math, railway, road, speed, superelevation, track, train, vehicle, zero
Posted in Algebra | No Comments »
Tuesday, September 8th, 2009
How to Find the Volume of a Cube
Description
This is just a short video showing a visual display of the volue of a small cube, and a formula for that specific cube is expressed at the end. That formula can be used to derive the formulas for other cubes.
Overview
A cube is a common object – they are any 3D square object with sides all measuring equal length. This can expressed the same way as a cube, but is easier to solve.
V = l * w * h = s^3
The length, width, and height are all the same on a cube so you can simply “cube” the number, or put it the third power. This is also why we call putting things to the third power “cubing”.
Tags: area, cube, cubes, finding volume, Geometry, height, length, Math, side, square, volume, volume of a cube, width
Posted in Geometry | No Comments »
Tuesday, September 8th, 2009
How to Find the Volume of a Rectangular Prism
Description
This video explains what a rectangular prism is and then gives and explains the formula to find the volume of a rectangular prism. This video provides two sample problems with easy to understand steps and solutions.
Overview
A rectangular prism is really just a rectangle in 3D. The volume of a rectanglur prism can be expressed like this:
V = l * w * h
Where l is the length, w is the width, and h is the height. This differs from an area formula because in an area formula there is no height, only a length and width.
Tags: area, finding volume, Geometry, height, length, Math, prism, rectangle, rectangular prisms, volume, volume of a rectangular prism, width
Posted in Geometry | No Comments »
Tuesday, September 8th, 2009
How to Find the Volume of a Cone
Description
This video gives an easy visual demonstration of the differences in volumes of two different shapes – a cone and a cylinder. The video proves that the formula must be different, because even though the height and base are exactly the same the volume is definitely not the same.
Overview
A cone is a pyramid that has the base shape of a cylinder instead of a rectangular prism. The volume of a cone can be expressed as:
V = (1/3) * B * h
Where h is the height, and B is the area of the base – the area of the base is the area of a circle, and can be expressed as pi * r^2.
Tags: area, base, circle, cone, finding volume, Geometry, height, Math, pi, radius, volume, volume of a cone
Posted in Geometry | No Comments »
Friday, September 4th, 2009
How to Find the Volume of a Pyramid
Description
This video shows the formula for finding the volume of a pyramid and provides one example problem. Content is shown in an organized manner.
Overview
The volume of a pyramid requires you to know the area of the base of the pyramid and the height of the pyramid. The volume can be expressed as:
V = (1/3) * B * h
The variable B represents the base – it is capitalized because you need to find the area. The base of a pyramid is a rectangle or a square. The variable h stands for the height of the pyramid, the length from the base to the point at the top.
Tags: area, base, finding volume, Geometry, height, Math, pyramid, volume, volume of a pyramid
Posted in Geometry | No Comments »
Friday, September 4th, 2009
How to Find the Volume of a Cylinder
Description
This video gives two different ways that you can find the volume of a cylinder. It provides the volume formula and several example problems.
Overview
Finding the volume of a cylinder is not hard – all you need is to find the right values. The volume of a cylinder can be expressed as:
V = pi * r^2 * h
The variable r represents the raidus of the circle found on the bottom and top of the cylinder, normally called the base. The variable h represents the height of the cylinder. Pi is a number equal to approximately 3.14.
Tags: cylinder, finding volume, Geometry, height, Math, pi, radius, volume, volume of a cylinder
Posted in Geometry | No Comments »
