Units of measurement for 11 and 12 year olds

🏆Practice units of measurement

Units of measurement

Overview:

In this article we will learn what units of measurement are, we will know their different types and we will see examples. At the end of the article you will be able to find a table that concentrates all the units of measure.

A1 - Units of measurement

Table of contents:

With the units of measurement we measure different things or aspects. We will come across them every time we want to quantify something. For example, with measures such as meters and kilometers we can measure length. With measures such as gram, kilogram and ton we can measure weight.

For us the most important measurements are those of the following items:

Length measurements (With units such as the following: centimeter, meter, kilometer).

Measures of weight (With units such as gram, kilogram)

Measures of time (with units such as second, minute, hour)

Monetary measures (with units of the type cent, peso, cent, dollar)

Area measures (With units of the type square centimeter, square meter)

Volume measures (With units of type cubic centimeter, cubic meter, liter)

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Test yourself on units of measurement!

einstein

How many cm³ are there in a m³?

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You can read about each of them in more depth below.

Most of the questions related to units of measurement are verbal problems. In this type of problems we will receive information about some kind of unit of measurement and we will have to convert it to another one by performing a certain calculation.

Length

Example 1

If Noa walked 20 20 meters, how many centimeters did she walk?

This is an example of a problem with length measurements. To answer this question we will have to convert meters to centimeters. Therefore, we will need to know the relationship between the two sizes. In this case we know that 1m=100cm 1m=100\operatorname{cm} .

Then we can calculate:

20metros=20100cm=2,000cm 20metros=20\cdot100cm=2,000\operatorname{cm}

That is, it gave us that 20 20 meters equals 2000 2000 centimeters. That means that Noa walked 2000cm 2000\operatorname{cm} .

With the units of measurement we measure different things or aspects. We will come across them every time we want to quantify something. For example, with measures such as meters and kilometers we can measure length. With measures such as gram, kilogram and ton we can measure weight.


Sometimes we will have a problem in which we will have to convert a certain number from one measure to another, but we will not know by heart how to do it. In these cases, within the question we will be given another piece of information or formula.


Let's look at another example:

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Money

There are different types of currencies (different monetary units) in the world. For example, some countries in the Americas use the peso, others use the dollar, and several countries in Europe use the euro.


Example 2 - Money

How many cents go into 10 10 dollars?

Use the exchange rate:

1doˊlar=17.50 1dólar=17.50 Mexican pesos.

Solution:

First we will explain that currency conversion is a dynamic concept that is constantly changing and is affected by many economic factors. In the past the dollar was worth a different amount of pesos. Today a dollar is worth 17.50 17.50 Mexican pesos. It is a very interesting topic, but we will not go into it in depth in this article.

Let's go back to the solution of the problem.

Recall that 1peso=100 1 peso = 100 cents.

Let's calculate:

10 10$ =1017.50pesos=175.00pesos =10\cdot17.50pesos=175.00pesos

175.00 175.00 pesos =175×100centavos=17500 =175\times100centavos=17500 cents

That is, it gave us that

10 10 dollars is 17500 17500 cents at the current exchange rate.

Very important! During all the calculations we do, we will be careful to write down what unit it is. We will be careful not to write a number without indicating which unit it symbolizes. Remember! This is an important point that will prevent you from making mistakes in later calculations. For example, if we are calculating distance we will write down 100m 100m or 100cm 100cm and not only 100 100 .


Do you know what the answer is?

Volume

Every three-dimensional body has volume. For example, a ball or a pyramid are bodies with volume. The volume of a body is our way of measuring the place that body occupies in space.


Example 4 - Volume

For example, let's look at a cube that the length of each of its sides is 1 cm, like this one:

a cube whose length of each of its sides is 1 cm

To calculate the volume of the cube we will use the known formula: length X X width X X height

In this case the three dimensions are equal and, therefore, we will write down:

V=1cm×1cm×1cm=1cm3 V=1\operatorname{cm}\times1\operatorname{cm}\times1\operatorname{cm}=1\operatorname{cm}^3

V is the letter used to abbreviate the word volume in exercises and is used to designate volumes.

That is, it gave us that the volume of the cube is 1cm3 1cm³ = cubic centimeter (cm raised to the third power).

Another example - Volume:

How many liters is 10000cm3 10000 cm³ ?

Recall that:

1,000cm3=1litro 1,000cm³=1litro

Then:

10,000cm3=10×1000cm3=10×1Litro=10Litros 10,000\operatorname{cm}³=10\times1000\operatorname{cm}³=10\times1Litro=10Litros

That is, he gave us that 10.000cm3 10.000cm³ equals 10 10 liters.


Check your understanding

Area

Every two-dimensional body has area.

For example, every square, rectangle or circle has area. Area measures are always raised to the second power. For example: cm2 \operatorname{cm}² o m2


Example 3 - Area

Given a rectangle of length 2m×3m 2m\times3m . What is the area of the rectangle at cm2 \operatorname{cm}² ? Calculate it in two different ways.

Recall that the formula for calculating the area of a rectangle is base×altura base\times altura .

Solution:

Mode A

Let's draw the rectangle

image 1 Let's draw the rectangle

Let's calculate the area of the rectangle in m2. Many times, the letter S will represent the area:

S=2m×3m=6m2 S=2m\times3m=6m^2

Pay attention that we have multiplied meter by meter and, thus, we got square meters (raised to the second power).

That is to say, it gave us that the area of the rectangle is 6m2 6m² . Only we have been asked for the area in cm2 \operatorname{cm}² .

We will use the formula:

1m2=10000cm2 1m²=10000cm²

In numbers:

1m2=10,000cm2 1m^2=10,000cm^2

That is,

6m2=6×10,000cm2=60,000cm2 6m^2=6\times10,000\operatorname{cm}^2=60,000\operatorname{cm}^2

Then, the area of the rectangle expressed in cm2 \operatorname{cm}² is 60,000cm2 60,000\operatorname{cm}²

Notice that, throughout the exercise, we have been careful to note the units of measurement and not just the numbers.

Mode B

Let's draw the rectangle:

image 1 Let's draw the rectangle

In this case we will convert the units of measurement to cm already at this stage. We know that 1 m = 100 cm. We will write it down on the rectangle:

Let's draw the rectangle

Now let's calculate the area by multiplying the base by the height and we will get:

A=200cm×300cm=60,000cm2 A=200\operatorname{cm}\times300\operatorname{cm}=60,000cm^2

That is, again we arrive at the area of the rectangle at cm2 \operatorname{cm}² is 60,000cm 60,000\operatorname{cm} .


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In this school year you will learn 6 units of measurement which you can learn more about on our site:

Tables of units

Weather

A7 - Table of Time units


Test your knowledge

Table of weight units

A8 - Table of weight units


Table of units length

A9 - Table of units Length


Do you know what the answer is?

Table of monetary units

A10 - Table of monetary units


Table of volume units:

A11 - Table of volume units


Check your understanding

Review questions

What is measurement?

A comparison of dimensions based on a unit of measurement.


What is a unit of measurement?

A unit of measurement allows us to quantify the dimensions of something, with references such as length, magnitude, temperature, among others.


How many systems of units of measurement exist and what are they?

There are two known systems of units: The international system (SI) and the English system.


What are the units of measurement?

According to the SI (International System), they are universal units, classified into fundamental and derived units.

Among the fundamental units we have: length (meter), magnitude (kilogram), temperature (Kelvin degrees), time (second), electric current (Ampere), luminous intensity (Candela) and quantity of substance (Mol).

In the derived units among the most common we have: Energy (Joule), Force (Newton), Pressure (Pascal), Potential Difference (Volt), Charge (Coulomb), Resistance (Ohms).


Ejemplos y ejercicios con soluciones de unidades de medida

Exercise #1

How many cm³ are there in a m³?

Video Solution

Answer

1000000cm3 1000000cm^3

Exercise #2

0.5m=?cm 0.5m=?cm

Video Solution

Answer

50 50

Exercise #3

5cm=?mm 5cm=?mm

Video Solution

Answer

50 50

Exercise #4

Convert 6.8dm3 6.8dm^3 into milliliters.

Video Solution

Answer

6800ml 6800ml

Exercise #5

7min=?hr 7min=?hr

Video Solution

Answer

760 \frac{7}{60}

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