How to convert units of Length, Area and Volume? | Mathematics for Digital SAT PDF Download

Introduction

In olden days, unscientific methods were used for measurement by keeping objects next to each other for comparing their length and pouring liquids and weighing in the hand to know which is heavier. In 1799, the French government introduced the decimal system of measurement and later the International system of measurement was introduced in 1939.
Measurements are used in data and statics calculations and in geometry where the different types of geometrical figures can be classified

Metric System

It is a system of measurement derived from a decimal system of measurement. The basic units in this system are meter grams and litre for measuring length ,volume and Capacity respectively.

Difference between Metric system and Imperial system of measurement

Length, Area, and Volume 
They are the one, two and three-dimensional measurements of geometrical figures. The prefixes used are kilo, hecto, deka, deci, centi and milli. The base unit remains same for length, Area and Volume which is "meters "

Length

Length Unit Converter

It is a one dimensional scalar quantity used to measure a line segment. The basic unit of measuring length in the International system of units is "METER". Further, according to the length of the specimen units like millimeter, centimeter, decimeter, dekameter, hecto meter and kilometer are respectively used.

The above table gives the information about the basic unit 'METER' and its prefixes and how they are converted to smaller and larger units depending on the measurement of specimen to be measured The rule of conversion is " multiplication is done for converting higher units to smaller units ,similarly when converting smaller units to higher units division is carried out "

Conversion Table For Measurement of Length

Example
Convert the following:


Km to mile
1 km = 0.621 mile
mile to Km
1 mile = 1.609 km

Area

Area Unit Converter

It is a scalar quantity, which is used to measure the quantity of two dimensional geometric plane figures where length and breadth is taken into consideration. Since area is the two-dimensional plane, the basic unit used to measure is " mm² " (Length × Length). Depending on the size of the plane surface the measurement can as follows,

Conversion Table For Measurement of Area



Example
Convert the following: Acre is an imperial system of measuring a land whereas feet is a metric system of measurement.
Acre to square feet
1 acre = 43560 square feet.
Square feet to acre
1 square feet = 2.296 × 10^-5 acre

Volume

Volume is a three dimensional measurement where length ,breadth and height of the geometrical solid figure are taken for the consideration .The unit used is " mm³ (length  breadth  height)”.The below table gives the conversion of smaller and bigger units.
Volume Unit Converter

Conversion Table For Measurement of Volume In Terms of Meter