__maths__>__Mensuration : Length, Area, and Volume__>__Introduction to Measurements__### Introduction to Measuring Volume

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. 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.) 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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