Introduction to Measuring Volume

Overview

**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.)
Volume is specified as a number in reference to the space-span of a cube of $1$ meter side.

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.*

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 $1{m}^{3}$. 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 $6{m}^{3}$.

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

summary

**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.)
Volume is specified as a number in reference to the space-span of a cube of $1$ meter side.

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__