Metre is the fundamental unit of length in the International System of Units (SI). It is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second. In everyday use, the metre is often used to measure lengths of objects and distances between points.
Converting between different units of length is a common task in many fields, such as engineering, science, and construction. Metre is the base unit of length in the SI system, so it is often used as the common unit for converting between other units.
Table 1: Common Length Units and Their Conversion Factors to Metres
Unit | Conversion Factor |
---|---|
Centimetre (cm) | 1 cm = 0.01 m |
Kilometre (km) | 1 km = 1000 m |
Inch (in) | 1 in = 0.0254 m |
Foot (ft) | 1 ft = 0.3048 m |
Yard (yd) | 1 yd = 0.9144 m |
Mile (mi) | 1 mi = 1609.344 m |
Metre is also used as the base unit for calculating area and volume. Area is measured in square metres (m²), and volume is measured in cubic metres (m³).
Table 2: Formulas for Calculating Area and Volume
Shape | Area Formula | Volume Formula |
---|---|---|
Square | A = s² | V = s³ |
Rectangle | A = l × w | V = l × w × h |
Circle | A = πr² | V = (4/3)πr³ |
Cylinder | A = 2πrh + 2πr² | V = πr²h |
Sphere | A = 4πr² | V = (4/3)πr³ |
Metre is used in various fields and applications, including:
Story 1: The Great Pyramid of Giza
The Great Pyramid of Giza is estimated to have a height of 146.5 metres and a base length of 230.4 metres. These dimensions were meticulously measured using primitive tools and techniques. The accuracy of these measurements is a testament to the ingenuity and skills of the ancient Egyptians.
Lesson: Precise measurement is essential for constructing complex structures and ensuring their stability and longevity.
Story 2: The GPS System
The Global Positioning System (GPS) relies on accurate measurements of distance to determine the location of users. Each GPS satellite transmits its position in terms of metres, allowing receivers on Earth to calculate their distance from the satellites and triangulate their own location with remarkable precision.
Lesson: Accurate and reliable measurement systems are crucial for navigation, surveying, and other applications that require precise positioning.
Story 3: The Human Genome Project
The Human Genome Project was a massive undertaking that involved sequencing the entire human genome. The DNA fragments were measured in base pairs, which are the basic units of genetic material. The length of the human genome was determined to be approximately 3.2 billion base pairs, or 3.2 billion metres.
Lesson: Measuring and understanding the size and complexity of complex systems can lead to significant scientific breakthroughs and advancements.
Metre is a fundamental concept that underpins countless aspects of modern life. By understanding its principles and applications, you can improve your accuracy in measurement, solve engineering and scientific problems, and contribute to advancements in various fields. Embrace the power of metre and unlock its potential to make a difference in your personal and professional pursuits.
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