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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

 •  Measurement by superimposition

 •  Measurement by calculation

 •  Measurement by equivalence (infinitesimal and Cavalieri's principle in 2D and 3D. )

Finding area of simple figures (squares, rectangle, triangle, polygon) are revised without much discussion.

click on the content to continue..

Which of the following is the measure of area?

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

The answer is "surface-span within a closed shape"

What is the area of a square of side `7cm`?area of a square

  • `28cm`
  • `49cm^2`
  • `49cm^2`

The answer is "`49cm^2`". Area of a square is square of the side.

What is the area of a rectangle of length `7cm` and width `5cm`?area of a rectangle

  • `24cm`
  • `35cm^2`
  • `35cm^2`

The answer is "`35cm^2`".

Area of the rectangle is the product of its length and width.

Area of a Square and a Rectangle :
Area of square `=text( side)^2`

Area of rectangle `=text( length ) xx text( width)`

Solved Exercise Problem:

What is the area of a rectangle with side `2`cm and `15`mm?

  • `2xx15 = 30 cm^2`
  • `2xx1.5 = 3 cm^2`
  • `2xx1.5 = 3 cm^2`

The answer is "`2xx1.5 = 3 cm^2`". The unit of measurement is made uniform before calculating the area.

slide-show version coming soon