Metric Measurement System

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Measurement is finding a number that shows the size or amount of something. There is two system, metric and US standard.

The standard unit of length in the metric system is the meter.

Other units of length and their equivalents in meters are as follows:-

1 millimeter = 0.001 meter
1 centimeter = 0.01 meter
1 decimeter = 0.1 meter
1 kilometer = 1000 meters

We symbolize these lengths as follows:

1 millimeter = 1 mm
1 centimeter = 1 cm
1 meter = 1 m
1 decimeter = 1 dm
1 kilometer = 1 km

The metric system has prefix modifiers that are multiples of 10.

A kilometer is 1000 meters

A hectometer is 100 meters

A decameter is 10 meters

A meter is the basic unit of length

A decimeter is 1/10 meter

A centimeter is 1/100 meter

A millimeter is 1/1000 meter

Examples of units of length

example of millimeters

The smallest units of length are called millimeters.

A millimeter is about the thickness of a plastic id card (or credit card).

Or about the thickness of 10 sheets ...
... of paper on top of each other.

This is a very small measurement!
Centimeters

When you have something that is 10 millimeters, it can be said that it is 1 centimeter.

1 centimeter = 10 millimeters

A fingernail is about one centimeter wide.
Meters

A meter is equal to 100 centimeters.

1 meter = 100 centimeters

The length of this guitar is about 1 meter

Meters might be used to measure the length of a house, or the size of a playground.
Kilometers

When you need to get from one place to another, you will need to measure that distance using kilometers. A kilometer is equal to 1,000 meters.

The distance from one city to another or how far a plane travels would be measured using kilometers.

Things to remember

1 centimeter = 10 millimeters

1 meter = 100 centimeters

1 kilometer = 1000 meters

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You might use centimeters to measure how tall you are, or how wide a table is, but you would not use it to measure the length of football field. In order to do that, you would switch to meters. i.e we need proper unit for our applications.

The measurement is the process of obtaining the quantity of a magnitude, such as length or mass, relative to a unit of measurement, such as a meter or a kilogram. The term measurement can also be used to refer to a specific result obtained from the measurement process. The SI (International System) units for the four basic physical quantities: length, time, mass, and temperature are:
1. meter (m) :SI unit of length
2. second (s) :SI unit of time
3. kilogram (kg) :SI unit of mass
4. kelvin (K) :SI unit of temperature

Solving types of Measurements:

The following three types of measurements are

1) Basic measurements.

2) Derived measurements.

3) Indirect measurement.

There are activities that are used specifically around the first four basic measure skills (length, mass, time and temperature). During the next activities we will use the basic skill to understand and develop derived measurements, such as perimeter, area, surface area, volume, weight and density. We also need skills to measure very large objects (height of a flag pole or galaxies) or very small objects (atoms, molecules). Because of their size or inaccessibility, these types of objects are measure indirectly.

Example problems for solving measurements:

Solving measurement problems are an essential one. Following are the example problems based on solving measurements:

1) Find the Volume of a brick whose dimensions are 2.8 cm * 0.5 dm * 0.7 dm.

Solution:

Length l = 2.8 cm

Breadth b = 0.5 dm = 5cm

Height h = 0.7 dm = 7cm

Volume of brick = l * b * h

= 2.8 * 5 * 7

= 98 cu. cm

2) The internal measurements of a hollow box are 12m by 4.5 m by 3m. Find its capacity in liters.

Solution:

l = 12 m, b = 4.5 m, h = 3 m

Capacity = l * b * h

= 12* 4.5* 3

= 162 cu. Dm

= 162*1000 cu. Dm

= 162000 cu. Dm

= 1, 62, 000 liters.

3) Find the volume of the triangular prism has given in the diagram.

Solution:

V = 1/2 bhl

solving measurements

= 1/2 *12* 8 *11

= 528 cm3

Solving measurement practice problems:

Practice problems for solving measurements are given below:

1) Find the Volume of a brick whose dimensions are 1.6 cm * 4 dm * 8 dm.

Ans: 51.2 cu.dm

2) Find the volume of the triangular prism breadth 9 cm, height 3 cm and length 4 cm.

Ans: 108 cm3

3) Find the capacity for bottle, l=12 m, b=4 m, h=5 m. Find its capacity in liters.

Ans: 240,000 Litres

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