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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

This topic introduced measuring volume as "space-span". It is a derived standard and measured in reference to a standard `1xx1xx1` cube.



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Length of a rod is the distance-span measured in meter.

Area of a surface is the surface-span measured in square meter.

For a solid object that occupies space (like an apple, or a box), what is the measure of the space?

  • area is the only possible measure
  • volume is the the space-span of a solid
  • volume is the the space-span of a solid

The answer is "volume is the the space-span of a solid".

To specify distance-span or length, a reference-prototype-standard (ie a metal rod of specific material at specific temperature) is used.

To specify surface-span or area, the area of a square with `1` meter sides is used as the reference.

Which of the following helps to specify space-span?

  • a new reference-prototype-standard for space
  • measurement of space-span can be derived from the already defined measure for length
  • measurement of space-span can be derived from the already defined measure for length

The answer is "measurement of space-span can be derived from the already defined measure for length".

To specify the space-span or volume of a solid, a cube of side `1` meter is taken as the reference. The volume of that is one cubic meter or `1m^3`. In the figure, the reference is shown at the top-right corner.measurement of volume Volume of a solid is given in reference to the volume of a cube of side `1` meter. In the figure, the volume of the given cuboid is the number of `1` cubic meter cubes fit in that cuboid. It is counted to `6`, so the volume of the cuboid is `6m^3`.

Volume of a solid : The space-span of a solid is the volume of the solid. It is measured in cubic meter (or in one of other derived or similar forms.)measurement of volume Volume is specified as a number in reference to the space-span of a cube of `1` meter side.

Which of the following explains the statement "volume of a box is `3` cubic meter"?

  • it is just volume
  • The space-span of the box equals `3` space-spans of a cube of side `1` meter
  • The space-span of the box equals `3` space-spans of a cube of side `1` meter

The answer is "The space-span of the box equals `3` space-spans of a cube of side `1` meter".

                            
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