Posts Tagged ‘base’
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 »
Friday, November 13th, 2009
Overview of Polyhedrons
Description
A detailed tutorial on polyhedrons. Step by step tutorial including several examples and a visual example of polyhedrons for reference.
Overview
Mathematicians have not yet decided what truely makes something a polyhedron, but in general they are accepted to be some 3D geometrical figure that has sides or faces, and usually at least one base. There are regular polyhedrons, which have all the same polygon making up their faces, and irregular polyhedrons – which are actually more common – where there are 2 or more shapes in them.
Tags: base, common, decagon, face, figure, geometrical, Geometry, hexagon, irregular, pentagon, polygon, polyhedron, regular, shape, side, square, triangle
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
How to Solve Negative Exponents
Description
A detailed tutorial on how to solve negative exponents. Step by step tutorial including several examples of solving negative exponents for reference.
Overview
An exponent is a number representing how many times you multiply the base – the number the exponent is on – by itself. Which is why negative exponents are so confusing – how can you multiply something by itself a negative number of times? The easiest way to think of a negative exponent, is that if you take away the negative sign and put the base and exponent under the number 1 (like as a fraction), you are saying the same thing! A negative exponent simply needs to be moved to the denominator (or the numerator, if it is in the denominator) to make it a positive exponent. This can be tricky when there are other numbers or expressions found in the same fraction, but not impossible.
Tags: algebra, base, denominator, equation, exponents, expression, fraction, multiply, negative, numerator, positive, power
Posted in Algebra | No Comments »
Thursday, October 1st, 2009
How to Solve Logarithms Using the Change-of-Base Rule
Description
A detailed tutorial on solving logarithms with the change-of-base rule. Step by step tutorial including several examples of how to solve logarithms using the change-of-base rule for reference.
Overview
The change-of-base rule is typically only used when solving logarithms with a calculator. It allows you to use a number besides the calculator presets. Tha change-of-base rule states that:
In this formula, b must not be equal to one, as the logarithm of one is simply zero. This formula also implies that all logarithms are similar to each other.
Tags: algebra, base, calculator, change, change-of-base, log, logarithm, Math, rule, similar, theorem
Posted in Algebra | 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 »
