volume

Each course contains three components:

  • Skills Application

    Instructional Objectives: The Skills Application video component introduces volumetric reasoning, problem solving and identification for trades application.
    Learning Materials:: 7 episodes of instructional videos

    Episode 23 | Definition of Volume [02:05]
    Episode 24 | Exponents: Cubes and Cube Roots [03:16]
    Episode 25 | Volume Conversion between Imperial and Metric [04:24]
    Episode 26|  Calculating the Volume of a Rectangular Prism [01:53]
    Episode 27 | Calculating the Volume of a Cylinder [03:29]
    Episode 28 | Calculating the Volume of a Cone [02:46]
    Episode 29 | Calculating Weight Using Volume [02:29]

  • Step-by-Step

    Instructional Objectives: The Step-by-Step video component shows how to practically apply the volume principals introduced previously to working examples.
    Learning Materials:: 7 episodes of instructional videos

    Episode 23 | Definition of Volume [01:25]
    Episode 24 | Exponents: Cubes and Cube Roots [04:34]
    Episode 25 | Volume Conversion between Imperial and Metric [03:18]
    Episode 26|  Calculating the Volume of a Rectangular Prism [01:52]
    Episode 27 | Calculating the Volume of a Cylinder [04:12]
    Episode 28 | Calculating the Volume of a Cone [04:12]
    Episode 29 | Calculating Weight Using Volume [04:33]

  • Worksheets

    Instructional Objectives::These worksheets provide detailed, volume-related problem-solving examples to foster critical, independent thinking.
    Learning Materials:: 7 episodes of instructional videos

    Episode 23 | Definition of Volume [Level 1, 2, Advanced]
    Episode 24 | Exponents: Cubes and Cube Roots [Level 1, 2, 3,]
    Episode 25 | Volume Conversion between Imperial and Metric [Level 1, 2, 3,]
    Episode 26|  Calculating the Volume of a Rectangular Prism [Level 1, 2, 3, Advanced]
    Episode 27 | Calculating the Volume of a Cylinder [Level 1, 2, 3, Advanced]
    Episode 28 | Calculating the Volume of a Cone [Level 1, 2, Advanced]
    Episode 29 | Calculating Weight Using Volume [Level 1, 2, 3, Advanced]

 
 
 

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Definition of Volume
Definition of Volume

A Short Review...

Volume or space relates to the size of a 3-D object. In everyday context the idea of volume or space might be expressed using different words, such as box size, tank size, capacity, trunk size, garment size, serving size, engine size.

Volume or space is usually measured in cube units such as cubic feet, cubic meters, cubic inches.

Exponents Cubes and Cube Roots
Exponents Cubes and Cube Roots

A Short Review...

Cubing a number or a unit of measure means multiplying three bases by themselves.

53 = 5 · 5 · 5

m3 = m · m · m

Whole numbers, fractions, decimals can all be cubed.

Volume Conversion between Imperial and Metric
Volume Conversion between Imperial and Metric

The units inch, foot, yard and mile are called Imperial or US Customary units of measure of length and the cube of them are called Imperial or US Customary units of measure of volume

Calculating the Volume of a Rectangular Prism
Calculating the Volume of a Rectangular Prism

A rectangular prism is a box-shaped object with six sides. Some of the examples in real life are: a mail box, a shoe box, a juice box etc.

Volume of a rectangular prism is calculated by multiplying its Length by its Width and by its Height:

V = L · W · H

Calculating the Volume of a Cylinder
Calculating the Volume of a Cylinder

Volume of a cylinder can be calculated a by multiplying Height by the Area of the circular base.

V = H · A

Since the Area of a circle can be calculated a number of ways, you might be familiar with the one your line of work uses. Other ways to calculate as just as valid, though may not be just as practical.

A = r² · π which is sometimes written as A = π · r²

Calculating the Volume of a Cone
Calculating the Volume of a Cone

A cone is a pyramid-like solid figure with a circular base. The radius (r) and diameter (d) of a cone refer to its circular base. The height (h) or altitude (a) is the perpendicular distance from the apex to the base. There are right and oblique cones.

Calculating Weight Using Volume
Calculating Weight Using Volume

Calculating the weight of pre-fabricated items based on volume is an often used skill. Weighing items on a scale is plain easier but before you lift that load onto the scale, just how many people do you need for a safe lift? If slings are to be used, how strong? Which one? Determining pre-fabricating sizes to stay within load capacity of transport vehicles is also where these math skills are applied.

Further Studies
Further Studies
Where to go from here...

First of all congratulations!

Interested in Euclidean plane geometry for 2D computer graphics...or 3-dimensional Euclidean geometry for 3D computer graphics? Here are a few reference points from A to Z that may peak your interest.

NOTE: Select a thumbnail from above for a lesson unit description
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