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# NCERT Exemplar Class 6 Maths Chapter 6 Solutions: Mensuration

NCERT Exemplar Class 6 Maths Solutions Chapter 6 ‘Mensuration’ are curated to help you build a robust understanding of topics encompassed under mensuration such as the perimeter of a rectangle and other regular geometrical shapes, for example, square and equilateral triangle and area of a square, rectangle etc. After reading the NCERT Exemplar Class 6 Maths exercise solutions, you will also be able to solve subjective problems related to finding the cost of completing tasks on a given area or perimeter.

NCERT Exemplar Class 6 Maths Solutions Chapter 6 contain solutions of different activities as well as all exercise questions. It contains 60 questions in total and 7 activities. The exemplar solutions for chapter 6 include step by step solutions to each problem to provide you with the best possible guidance. These solutions will give you an appropriate idea about what is the pattern of questions asked in the CBSE exam.

## Important Topics for NCERT Exemplar Class 6 Maths Solutions for Chapter 6 Mensuration

Here, we have discussed the important topics of the exemplar chapter to provide you with an easy reference before you dive into the diverse variety of questions. You will also be able to do various activities mentioned in the chapter with the help of the following concepts. It is important that you go through the NCERT Exemplar Solutions before appearing in the exam to score well.

Introduction:

Plane figures are categorised by their boundaries and the regions included in them.

Perimeter of a closed figure:

The total length of all the boundaries of a closed figure taken only once into consideration is known as its perimeter.

Perimeter of a rectangle:

The perimeter of a rectangle is given by the sum of its four sides.

Therefore, Perimeter of the rectangle= length + breadth + length + breadth

I.e. Perimeter of the rectangle= 2 x (length + breadth)

Perimeter of regular shapes:

Regular shapes are ones which have all the sides of equal length and all the angles of equal measure.

Perimeter of a square= length + length + length + length = 4 x length

Similarly, Perimeter of an equilateral triangle= side + side + side = 3 x side

In the same way, perimeters of other regular figures such as hexagon and regular pentagon can be calculated.

Area:

The amount of surface enclosed by a closed figure is known as the area occupied by the figure.

The area of one full square is taken as 1 square unit. For example, if it is a square sheet of length 1 metre then the area of one square would be 1 sq m.

Therefore, you can measure the area of a figure by counting the number of squares and half squares.

Area of a rectangle:

Area of a rectangle = length x breadth

Area of a square:

Area of a square= side x side

Thus, we can calculate the number of tiles or bricks required by dividing the total area of the floor by the area of one tile or brick. Following the same concept, the cost of the painting or using bricks or tiles can be calculated by multiplying the total area or number of tiles obtained by the given rate per square unit of area.

## Exercise Discussion of NCERT Exemplar Class 6 Maths Solutions for Chapter 6

• A variety of interactive questions are included in NCERT Exemplar Class 6 Maths Chapter 6 exercise. They are objective as well as subjective.
• There are exercises with multiple-choice questions, fill in the blanks, match the columns and other subjective questions with diagrams to help you have a practical perspective about the subject of mensuration.
• In the beginning of the exercise, there are objective questions on topics like perimeter and area. Then there are state true or false questions on these topics.
• Word problems begin from question 25. As questions follow, their level of difficulty tends to increase.
• Then, at the end of the exercises, there are 7 activities given related to measurement.

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