space-span

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), the measure of the space the volume of the object. Volume is the the space-span of a 3D-enclosed-solid.

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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.

Similarly, measurement of space-span is 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.

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`.

The statement "volume of a box is `3` cubic meter" specifies that the space-span of the box equals `3` space-spans of a cube of side `1` meter

Outline

The outline of material to learn "Mensuration basics : Length, Area, & Volume" is as follows.

Note: click here for detailed outline of Mensuration (Basics).

•  Measuring Basics

  →   Introduction to Standards

  →   Measuring Length

  →   Accurate & Approximate Meaures

  →   Measuring Area

  →   Measuring Volume

  →   Conversion between Units of Measure

•  2D shapes

  →   Perimeter of Polygons

  →   Area of Square & rectangle

  →   Area of Triangle

  →   Area of Polygons

  →   Perimeter and area of a Circle

  →   Perimeter & Area of Quadrilaterals

•  3D shapes

  →   Surface Area of Cube, Cuboid, Cylinder

  →   Volume of Cube, Cuboid, Cylinder
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