Roman Numerals Calculator

Make use of the Roman Numerals Calculator, a free online tool that gives the roman numeral of a number. All you need to do is simply provide the input number in the input field and tap on the calculate button to get the resultant roman numeral in no time.

Roman Numerals Calculator: If you ever need assistance with the conversion of Roman Numerals take the help of the handy tool provided here. Make use of the online calculator to overcome the struggle of finding Roman Numerals. Just Input the Numbers for which you want to know the Roman numerals and get to know the detailed worked out procedure.

How to Convert Numbers to Roman Numerals?

Follow the simple and easy steps listed below to convert numbers to Roman Numerals. Going through these steps you will learn about the manual procedure on how to convert numbers to Roman Numeral. They are along the lines

  • Break down the given number into Thousands, Hundreds, Tens, Ones Place.
  • Write Each Place Value as Roman Numerals.
  • Put the Roman Numerals together.

Rules for formation of Roman Numerals

Below are the rules to keep in mind while forming Roman Numerals or Numbers.

Rule 1: The roman digits I, X, and C are repeated upto three times in succession to form the numbers.

  • We know the value of I =1, X= 10, C= 100
  • No digit should be repeated in succession more than thrice, i.e. I, X, C cant be repeated.
  • Digits V, L, and D can’t be repeated.

Rule 2: When a digit of lower value is written to the right or after a higher value, add the values of all digits.

Values of similar digits are also added.

Rule 3: When a digit of lower value is written on the left or before higher value subtract the lower value from the higher value.

 Rule 4: If we need to write numbers beyond 10 write the number 10 or groups of number 10 and then place 1 or 5 as the case may be.

Rule 5: If a horizontal line is drawn over the symbols or digits of Roman numerals, then the value of the numerals becomes 1000 times.

Example

Convert 395 into Roman Numerals?

Solution: 

Given number is 395

Step 1: Firstly, figure out the place values we have

395 = 300+90+5

Step 2: Later write down each place value as roman numerals

300 = CCC

90 = XC

5 = V

Step 3: Put all the place values together

So, 395 = CCCXCV

Onlinecalculator.guru has calculators of various math concepts that help you do multiple calculations at one go.

FAQs on Romal Numeral

1. What is meant by Roman Numerals?

In Mathematics, Roman Numeral is a combination of some specific letters to represent the number.

2. How to use the Roman Numeral Calculator?

All you need to do is enter the input number in the input field and tap on the calculate button to get the Roman Numeral in the split second.

3. What are the uses of Roman Numerals?

Roman Numerals are used for writing ranks in the classroom or for expressing school classes. They are also used to write the numbers on clock dials.

4. How to get 25 in Roman Numerals?

25 can be obtained by breaking down the place values of numbers and writing its equivalent roman numerals i.e. 20+5 = XX and V. Place the values together XXV and that’s it.

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Convert Meters to Kilometer Calculator

Convert Meters to Kilometer Calculator: Are you measuring the table and want to convert from meters to kilometers? Then, this is the right page for you to convert m to km easily without any support. The way that I am talking about is by using the online handy convert m to km calculator. Make your calculations faster by using our tool as it displays the output in less time. So, refer to the Meter to Kilometer Conversion Formula, Solved Examples, and Common Conversion Table along with m to km calculator from this page.

Get more information like procedure on how to convert meter to kilometer and instructions to use m to km conversion calculator from the further modules. Also, we have listed a stepwise illustrated solved example below to make a good grip on the meter to kilometer Conversion.

What is Meter?

The definition of a meter is the base unit of length and distance in the International System of Units (SI). Also, known as a distance traveled by light in 1/299 792 458 of a second. The symbol for a meter is ‘m’ and the UK spelling for this unit is Metre. This definition was slightly modified in 2019 to reflect changes in the definition of the second. There are 0.001 kilometers in a meter.

What is Kilometer?

A kilometer is defined as a unit of length in the International System of Units (SI). The International spelling for this unit is Kilometre. Also, Kilometer is a unit length or distance in the metric system equivalent to one thousand meters. One kilometer is equal to 0.6214 miles. The symbol for a kilometer is ‘km’.

How to calculate M to Km Unit Conversion?

To convert a meter unit measurement to a kilometer unit measurement, multiply the length by the conversion ratio. One kilometer is equivalent to 1,000 meters, so make use of this simple conversion formula to convert meters to kilometers. Hence, the formula is as below:

Kilometers = meters * 0.001 km

The length in kilometers is equal to the meters multiplied by 0.001.

By this formula, you can make your calculations easily at a faster pace on your own. If you need some clarity about the calculation then look at the below-illustrated example on how to convert m to km.

Example:

Convert 12.5 meters into kilometers?

Solution:

First, take the given meter input value ie., meter = 12.5 m

Now, consider the simple conversion formula ie., kilometer = meter x 0.001

Substitute the meter value into the formula and start calculating the equation,

km = 12.5 x 0.001 km

= 0.0125 Km

∴ 12.5 Meters = 0.0125 Kilometers.

Steps to Use Convert m to km Calculator

Are you searching for the procedure to use meters to kilometers conversion calculator? Then, you have come to the right place. Here, we have listed the simple steps to use the meter to kilometer converter tool. So, follow these steps and easily calculate meter to kilometer conversion calculations. They are as follows,

  1. Firstly, provide the input value i.e. Enter the Meter Value in the provided input box.
  2. Click on the Convert Button to change the units to kilometers as our calculator will be set to km by default.
  3. If you require any other unit metric as an output then select the needed unit metric with the help of the dropdown list available right after the input field.
  4. At last, you will get the output in converted units along with an illustrated solution.

Meters to Kilometers Conversion Table

Meter [m] Kilometer [km]
0.01 m 1.0E-5 km
0.1 m 0.0001 km
1 m 0.001 km
2 m 0.002 km
3 m 0.003 km
5 m 0.005 km
10 m 0.01 km
20 m 0.02 km
50 m 0.05 km
100 m 0.1 km
1000 m 1 km

FAQs on Meter to Kilometer Converter

1. How do you convert from M to KM?

The simple conversion of m to km formula is Kilometer = meter * 0.001 km. Use this formula and easily convert meters to kilometers on our own else try our handy convert m to km calculator.

2. Which is greater 1m or 1km?

Kilometers are 1,000 times larger than meters. So, 1 km is greater than 1 m.

3. What percent is 55 Metre of 1 Kilometre?

5.5% is 55 m of 1 km.

4. Which website offers an instant convert m to km calculator?

Areavolumecalculator.com is a genuine website that offers unit conversion calculators to make all your calculations easier and get the output immediately within a fraction of seconds. Use this handy and instant calculator and convert meters to kilometers accurately.

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions for Class 12 Maths Chapter 3

NCERT Solutions for Class 12 Maths Chapter 3 Matrices are prepared by the subject experts based on the prescribed CBSE Curriculum Syllabus. CBSE Students & other start board students can refer to this Class 12 maths Ch 3 NCERT Solutions to ace up their exam preparation. By practicing with these class 12 maths NCERT solved questions can help you build strong basics of matrices chapter.

Also, you can enhance your problem-solving skills by solving the Class 12 Maths Matrices NCERT Solutions. The provided solutions of the class 12 maths chapter 3 matrices are available in both Hindi and English Mediums. So, students can depend on their respective mediums during their exam preparation. Moreover, you can download NCERT Solutions of Matrices Class 12 Ex 3.1, Ex 3.2, Ex 3.3, Ex 3.4 PDF from here. 

Class 12 Maths NCERT Solutions Chapter 3 Matrices

Matrices are one of the most powerful and essential chapters in class 12 maths subject. Matrices are mainly rectangular arrays of numbers that are described in rows and columns. Topics involved in Matrices Exercises 3.1, 3.2, 3.3, 3.4 are Applications, Matrices, Order of matrices, types of matrices. You will also attain an idea of Transpose of a matrix, Properties of transpose, Symmetric & skew matrices, and Invertible matrices along with addition, multiplication, subtraction, and division of matrices.

Boost up your preparation by this Class 12 Maths NCERT Solutions of Matrices Exercise 3.1, Exercise 3.2, Exercise 3.3, Exercise 3.4, and make your fundamentals strong to attempt all questions in the final exam and score max. marks.

Class 12
Book Mathematics
Subject Maths
Chapter Number 3
Name of the Chapter Matrices

NCERT Solutions for Class 12 Maths Ch 3 – Solved Exercises

One of the best study materials to ace up your preparation is Class 12 Maths Ncert Solutions Chapter 3 Matrices. The solutions are prepared by the subject teachers in a simple language and in both mediums so that you can grasp all exercises topics easily just like a piece of cake. Solving the questions which are important for the final exams gives you more confidence to attempt the exams. Likewise, preparing from the NCERT solutions can make you feel confident in attempting the Maths board exams.

Download this best preparation study material from here in both English and Hindi medium for free of cost & improve your subject knowledge to the fullest. You can rely on this NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.1, 3.2, 3.3, 3.4 to cover all the topics effectively during your preparation. CBSE toppers & subject experts’ first choice would be this Class 12 Maths NCERT Solutions Chapter 3 Matrices Solved Exercises for perfect preparation. It helps you score better marks in the final exams.

Summary

Hoping that this information regarding NCERT Solutions for Class 12 Maths Chapter 3 Matrices is enough to score well & gain more subject knowledge. Do you have any doubts & questions on Class 12 Maths NCERT Solutions Ch 3 Matrices Ex 3.1, 3.2, 3.3, 3.4? Then, ping us via the comment section below so that we can solve it at the soonest possibilities. Get in touch with our site NCERTBooks.Guru for more information on NCERT Class 12 Maths Matrices Solutions.

Volume of a Box Calculator

Volume of a Box Calculator: Trying to figure out how much water your fish tank holds or how much paper you need to wrap a gift? In such a case, the Volume of a Box Calculator is worth the try and you can easily find the volume. If you are still unsure of how to find Volume of a Box you can look out the further modules to know formulas, examples, etc.

The handy calculator for finding the Volume of a Box will assist you to find the Volume of the Solid Box easily. Make your calculations faster as the online tool provided gives output in a fraction of seconds. Continue reading to know the procedure on how to use the Volume of a Box Calculator.

What is meant by the Volume of a Box?

The volume of a Box, in general, is the space occupied by the shape Box. In Mathematics Rectangular Prism or Box is a three-dimensional figure having 2 edges, 8 vertices, 6 faces. Box or Rectangular Prism is the three-dimensional form of a 2D shape called Rectangle. If you rotate a rectangle about its axis, box or rectangular prism is formed. Another name of Box or Rectangular Prism is Cuboid.

The volume of Box is given by the formula = Length* Width* Height Cubic Units

How to find the Volume of a Box?

Let’s have a closer look at how to find the Volume of a Box or Rectangular Prism in the following Section.

Volume of a Box can be calculated easily if you know all three dimensions length, width, and height. Usually, the Volume of a Box is the product of its dimensions. While doing the Volume Calculations make sure all the dimensions are in the same measurement.

If l is the length, h is the height and w is the width then Volume V = l*w*h Cubic Units

The volume of a Box V = l*w*h Cubic Units

Example

Calculate the Volume of the Box for length 5 Cm, Width 7 Cm, and height 8 Cm?

Solution:

Given Length = 5 Cm

Width = 7 Cm

Height = 8 Cm

As per the formula for Volume of the Box V = l*w*h 

Applying the given values in the formula we get the result as under

V = 5*7*8

= 280 Cm3

Guidelines to use Volume of a Box Calculator

If you are struggling with how to use the Volume of a Box Calculator to solve your problems you can check the procedure listed so that it becomes easy for you.

  • As a part of the finding, the Volume give the inputs in the input fields provided for length, width, height.
  • Choose the unit metric you want from the dropdown like m, cm, km, ft, in, etc.
  • After that click on the Area Button.
  • Finally, the Volume of the Box will be displayed in the Output field in less time.

FAQs on Volume of a Box

1.  How do you calculate the Volume of the Box?

In order to calculate the Volume of the Box all you have to do is multiply the length, width, and height.

2. What is the formula to find the Volume of the Box?

Formula to find the Volume of the Box is given by V = l*w*h 

3. What is LxWxH?

LxWxH means Length*Width*Height and it results in the Volume of the box.

4. How to Calculate Volume of Box Easily?

You can calculate the Volume of the Box easily by making use of the Volume of a Box Calculator on our page. You just need to provide inputs like length, width, height and you will get the output i.e. Volume in a fraction of seconds.

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Area of a Trapezoid Calculator

Area of a Trapezoid Calculator: Have you ever thought of remembering the formulas in geometry class is so tough? If yes, then our easy to use Area of Trapezoid Calculator will help you to find the area within seconds. Just a few taps is enough to calculate the area of a trapezoid with our calculator. So, why to search for other resources, simply try our free online area of a trapezoid calculator and get the area output easily. In case you are wondering to know “how to find the area & perimeter of a trapezoid”, look no further – just keep reading to find out!

What is Trapezoid?

A Trapezoid is a 4-sided geometrical shape with two sides parallel to each other. And we called these two sides (a and b) as bases of the trapezoid. The other two sides (c and d) are called legs. The height of the trapezoid is represented as ‘h’. The height (or altitude) of a trapezoid is the perpendicular distance between the two bases. All internal angles of a trapezoid sum to give 360°. Moreover, the angles on the same side of a leg are called adjacent and always sum up to 180° and it determines in the equations as,

α + β = 180°

γ + δ = 180°

Area of a Trapezoid Formula

The area of a trapezoid is basically the average width times the altitude, or as a formula:

Area = 1/2 * height * (base1 + base2)

where
b1, b2 are the lengths of each base
h is the altitude (height)

Steps to Find the Area of a Trapezoid?

A 4 – sided geometrical figure which has one pair of parallel sides is called a Trapezoid. Most the time the bases are parallel. To find the Area of Trapezoid, all you need to do is just go ahead and implement the steps that are given below:

  1. First of all, note down the given parameters such as side lengths and height.
  2. In the next step, Add the parallel bases i.e., base1 and base2.
  3. Now add the sum of bases and the height of the trapezoid.
  4. Once, the step is completed just divide the result by 2.
  5. Finally, you will get the Area of Trapezoid as an output.

For more clarity about how to find the area of a trapezoid, we are going to give the solved example below:

Example:

Find the Area of Trapezoid whose base1 is 23 cm, base2 is 12 cm and height is 6 cm?

Solution:

The given parameters such as base1 b1 = 23 cm, base2 b2 = 12 cm, and height h =6 cm

Substitute the values of the bases (b1 = 23 cm and b2 = 12 cm) and height h = 6 cm into the area of a trapezoid formula

Area = 1/2 * height * (base1 +base2)

Put the value of base and height value in Area Formula.

Area = 1/2 * (6 cm) * (23 + 12) cm

Add the bases value b1 = 23 cm and b2 = 12 cm

Area = 1/2 * 6 cm * (35.0 cm)

Multiply 6 cm and 35.0 cm

Area = 1/2 * 210.0 cm2

Divide 210.0 cm2 by 2

Area = 105.0 cm2

Thus, Area of a Trapezoid whose parameters are 23 cm, 12 cm, and 6 cm is 105.0 cm2

How the Area of Trapezoid Calculator Works?

Our Area of Trapezoid is very simple and user-friendly to use. All you need to do is give your required parameters in the input fields arranged on the screen. Along with the inputs also set the unit metric by using the dropdown list. Once, you have entered the needed parameters in the boxes, simply tap on the button called “Area”. Finally, it displays the area of trapezoid results after performing all the calculations internally.

Also, you will be known the steps of how it calculates the area of Trapezoid in a detailed explanation. So, utilize this online free Area of Trapezoid Calculator tool and get the results with ease. Know you have got enough idea about how it works and how it helps you to find the trapezoid area when required parameters are there.

FAQs on Trapezoid Area Calculator

1. What’s the formula for finding the area of a trapezoid?

The area of a trapezoid is found with the formula, A=(a+b)/2 x h.

2. How do I find the Area of Trapezoid?

You can easily find trapezoid area results by entering the given parameters in our Area of Trapezoid Calculator input fields.

3. This Area of a Trapezoid Calculator is a free online tool or not?

Yes, our Area of a Trapezoid calculator is a free online tool that helps students to make their area of trapezoid calculations much easier and faster.

4. What is the Formula for Perimeter of a Trapezoid?

You can also make use of this area of a trapezoid calculator to calculate the perimeter of this 4-sided geometrical shape. Just do sum of all lengths of the sides together i.e., P = a + b + c + d.

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Perimeter of an Equilateral Triangle Calculator

Perimeter of an Equilateral Triangle Calculator: The Equilateral triangle perimeter calculator is a free online tool that supports students to calculate the perimeter of an equilateral triangle easily. By providing the length of the side metric value in the input field, you will get the Perimeter of an Equilateral Triangle following in a short span. This handy & free perimeter finding calculator will make your calculations much easier and faster.

From below, you will get the complete information like What is Perimeter of an Equilateral Triangle, Formula to find Equilateral triangle perimeter, and how to calculate it easily as well as how Perimeter of an Equilateral Triangle Calculator works?

Definition of Perimeter of an Equilateral Triangle

The perimeter of a triangle is the distance covered around the triangle and is calculated as the sum of all the three sides of it. If you take an Equilateral Triangle, then the perimeter is calculated by adding its three sides.

We all know that all the sides of an Equilateral Triangle are equal. Therefore, its perimeter will be 3 times its side, i.e. 3 × Side.

Perimeter of an Equilateral Triangle Formula

The equilateral triangle also called a regular triangle. If the triangle has all three sides equal then we call it as an equilateral or regular triangle, so the formula for the perimeter of an equilateral Triangle is:

Perimeter (P) = 3 * a

Where ‘a’ represents the side of a triangle.

Whereas the formula for Semi Perimeter of an Equilateral Triangle is s = 3a / 2.

Finding Perimeter of an Equilateral Triangle

Calculating the Perimeter of an Equilateral Triangle becomes easy if you have the required parameters ie., side of the triangle. We have tried giving a detailed stepwise explanation about How to find Perimeter of an Equilateral Triangle here. So, please have a glimpse at these steps and easily find out the perimeter of a regular triangle.

Let’s move to the steps to find the equilateral triangle perimeter:

  1. First and foremost, write down the given parameters like side, altitude, etc. of a triangle.
  2. If you know the length of any side of a triangle then use the formula for Perimeter of an equilateral triangle ie., P=3a, where a is side.
  3. Enter the side value into the formula and calculate the Perimeter of an equilateral triangle.

For better understanding, here we have given solved examples for finding the perimeter of an equilateral triangle.

Solved Example:

Question 1: Find the perimeter of an equilateral triangle whose side is 678 centimeters?

Solution:

Given length of the side = 678 cm

The formula for Perimeter of an Equilateral Triangle = 3 × side

Put the value of side in Perimeter Formula.

Perimeter =3 x 678 cm

Multiply 3 and 678 cm

Perimeter= 2034.0 cm

Therefore, Perimeter of an Equilateral Triangle when a side is 678 cm = 2034.0 cm.

Question 2:  Find the perimeter of an equilateral triangle whose height is 12 cm?

Solution:

Given Height is 12 cm

The formula for Height of the equilateral triangle is H = √3/2 * a

So, √3/2 * a = 12

First, calculate the side of an equilateral triangle and then go for the perimeter.

a= 12 * 2/√3 = 13.86

Now, you have a side value take the formula for the perimeter of an equilateral triangle i.e,

P = 3a

P = 3 * 13.86

P = 41.6 cm

Therefore, the perimeter of an equilateral triangle when the height is 12 cm = 41.6 cm.

How to Use Perimeter of an Equilateral Triangle Calculator Online?

Using the handy tool like perimeter calculator can make your calculations very simple. You can find perimeter for any surface like an equilateral triangle by our tool. Excited to know How to use this free online Perimeter of an Equilateral Triangle Calculator? then just follow the below simple steps & keep a dot to your excitement.

Okay, let’s start

  • First of all, enter the side value in the input filed and then select the unit metric with the help of the dropdown list.
  • After choosing the metric, tap on the Perimeter button and wait for fraction of second.
  • Now, you can view the output of the Perimeter of an equilateral triangle below the button with a detailed explanation.

That’s it! looks simple right? Then look no further, just give your required input and find the perimeter of an equilateral triangle easily and quickly.

FAQs on Equilateral Triangle Perimeter Calculator

1. What is meant by Perimeter of an equilateral triangle?

As we know sides of an equilateral are equal in length. So, the perimeter of an equilateral triangle is adding all its three sides i.e., a + a + a= 3a.

2. How do I calculate Perimeter of an equilateral triangle?

By entering the side value in the input filed of our Perimeter calculator then you can easily calculate the perimeter of an equilateral triangle.

3. Is it tough to find the equilateral triangle perimeter when the height is given?

No, it is simple to find the perimeter of the equilateral triangle when you have the value of altitude or height. Just apply the value in the formula of the height of the equilateral triangle and then find the side value. After that, consider the Perimeter of an equilateral triangle formula and get the output.

4. What is the formula for Height of the Equilateral Triangle?

The formula for Height of the equilateral triangle is H = √3/2 * a.

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