Posts Tagged ‘volume’
Friday, November 13th, 2009
An Overview of Composite Solids
Description
A detailed tutorial on what a composite solid is. Step by step tutorial including several examples of composite solids for reference.
Overview
A composite solid is exactly the same as a composite figure, only it is in 3D instead of in 2D. It is any kind of polyhedron (like a prism or a pyramid) that can be split into two or more of the basic types of polyhedrons in order to solve for the volume of the figure. Composite solids are very rare, and there are no regular types of solids that would be considered a composite solid.
Tags: 2D, 3D, area, basic, composite, difference, dimension, figure, Geometry, polyhedron, prism, pyramid, rare, solid, split, types, volume
Posted in Geometry | No Comments »
Friday, November 13th, 2009
An Overview of Composite Figures
Description
A detailed tutorial on what composite figures are. Step by step tutorial including several examples of how to identify composite figures for reference.
Overview
A composite figure is any figure that can be split into more than one shape. Hardly any regular shapes are considered to be composite shapes. The only one is a regular trapezoid – it can be split into three shapes, two triangles and a rectangle. You could technically consider a rectangle to be a composite figure – you can split it into squares or smaller rectangles – but since it doesn’t need to be split into different shapes to solve for area, then it is not considered a composite figure.
Tags: 2D, area, composite, different, figure, flat, geometrical, Geometry, rectangle, regular, shape, smaller, split, square, trapezoid, triangle, volume
Posted in Geometry | No Comments »
Tuesday, September 29th, 2009
Introduction to Magnitude
Description
A detailed tutorial of how to solve for magnitude. Step by step tutorial including several examples of how to solve for magnitude for reference.
Overview
The magnitude refers to size – in mathematical concepts, what is larger? What has a greater value or quantity? This is what you look for when arranging things in order of magnitude. Several different measurements are considered to be types of magnitude – examples are volume, area, and length. Things that can be ordered by magnitude are fractions, line segments, planes, solids, and angles. Magnitude is considered to be measured only in positive, not in negative – not to say that the absolute value is taken, just that negative numbers are not included.
Tags: angles, area, arithmetic, fractions, greater, length, line segments, magnitude, Math, measurement, planes, positive, solids, value, volume
Posted in Arithmetic | 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 »
