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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

In the topic "mensuration", the foundation focuses on learning

 •  what is measurement standard?

 •  Absolute and Derived Standards

In this page, Finding volume of simple figures (cube, cuboid, and cylinder) are revised without much discussion.

click on the content to continue..

Which of the following is the measure of volume?

  • distance-span between two points
  • surface-span within a closed shape
  • space-span within a closed solid
  • space-span within a closed solid

The answer is "space-span within a closed solid"

What is the volume of a cube of side `a`?volume of a cube

  • `6 xx a^2`
  • `a^3`
  • `a^3`

The answer is "`a^3`".

What is the volume of a cuboid of length `l`, breadth `b`, and height `h`?Volume of a cuboid

  • `lbh`
  • `lbh`
  • `2 xx (lb+bh+hl)`

The answer is "`lbh`".

What is the volume of a cylinder of height `h` and radius `r`?cylinder volume Note: As per Cavalieri's principle, the volume of cylinder equals volume of a solid of same cross-section at all height levels.

  • area of cross section multiplied the height
  • `pi xx r^2 xx h`
  • both the above
  • both the above

The answer is "both the above". The formula is explained in the next page.

Volume of Some Solids : Volume of cube `= a^3`

Volume of cuboid `= lbh`

Volume of cylinder `= pi r^2 h`

Solved Exercise Problem:

What is the volume of a cuboid of length `2cm`, breadth `3cm` and height `4cm`?

  • `12cm^3`
  • `24cm^3`

The answer is "`24cm^3`".

slide-show version coming soon