Courses

Courses for Kids

Free study material

Talk to our experts

1800-120-456-456

Selina Concise Mathematics Class 7 ICSE Solutions for Chapter 20 - Mensuration

Q: 3. For ICSE Class 7 Mathematics Chapter-20 Measurement, what are the important terms?

The Important Terminologies Used in Measuring.Mensuration is described in the following terms:1. Perimeter:A geometrical figure's perimeter can be defined as the continuous length of the boundary around the figure. There are different units of measurement for this perimeter. Measurements in millimeters, centimeters, inches, etc.2. Area:A geometric figure's area is the amount of space or area it occupies. Units like squares are used to measure the area m2,cm2,km2 etc.3. Lateral surface area:It is the lateral surface area (LSA) of a geometrical figure that is covered by the lines of the laterals.4. Area of curving surfaces:CCA, or curvilinear surface area, refers to the region in a geometric figure that is covered by the curves.5. The total area of the surface is:Known as the total surface area (TSA), it is the area or region covered by the entire figure.6. Volume:Three-dimensional figures consist of spaces known as volumes, which are measured in cubic units of space based on the size of the figures cm3,m3,km3, cubic hectares, etc.

ICSE

Selina Concise Mathematics Class 7 ICSE Solutions for Chapter 20 - Mensuration

ICSE Class 7 Mathematics Chapter 20 Selina Concise Solutions - Free PDF Download

Vedantu’s Selina ICSE Solutions work as a step-by-step guide for students preparing for the annual examination. The Selina solutions created by Vedantu are essential when preparing for the annual as well as the internal examination. Selina ICSE Chapter 20 Mensuration for Class 7 helps you thoroughly understand the concepts so that you can study anytime, anywhere. Crafted by the immensely skilled experts/teachers of Vedantu, Selina Maths ICSE Solutions Class 7 is available free of cost and consists of all the chapters in detail with solved examples.

About Mensuration

With the quick shift towards constructive geometry as well as areas related to geometry to the applied disciplines, specifically to astronomy, mensuration has become a significant skill to study since the junior level math classes. Mensuration is the branch of mathematics that typically deals with the study of various geometrical shapes and their areas and volumes. In the widest terms, it is all about the process of measurement.

Selina Concise Math Solutions for ICSE Class 7 is an ideal way of preparing for the ICSE board examinations. ICSE Class 7 syllabus is vast and requires concentrated efforts on the part of the students as well as mentors to face the examinations and be successful.

Vedantu’s Selina Concise Math Class 7 ICSE solutions PDF includes detailed topics and solutions for all chapters from the subject. Each explanation is provided with all the logic and assumptions used to identify the conclusion. This will allow students to analyze and understand every aspect of the concept even if practicing for the first time.

Mensuration - An Introduction

Geometry is the study of measuring area, length, and volume in a two-dimensional or three-dimensional shape. Shapes in 2D can be drawn in a plane like squares, rectangles, triangles, circles, etc. and shapes in 3D cannot be drawn in a plane like bricks, ice cream cones, footballs, etc. Mathematical calculation includes solving algebraic equations and formulas.

Geometric Shapes of Various Types:

Shapes in two dimensions:

The size and height of a 2D object are its only dimensions, without thickness. Examples include squares, rectangles, triangles, and circles. There are two axes (X and Y) in the mathematical representation. Since these 2D objects have only two axes and no thickness, in the real world, they do not exist and can only be represented by the use of flat surfaces.

A measurement can be applied to two-dimensional objects and three-dimensional objects. Both can be measured.

Example of Figures with one dimension:

The line.
Line segment.
Ray.

Example of Figures in two dimensions:

The square.
represents the rectangle.
of the triangle.
in the parallelogram.
Trapezium.
Circle.

Example of Three-dimensional figures:

Cube.
Cuboid.
Cylinder.
Cone.
Sphere.
Hemi-sphere.

Figures with one dimension (1D)

Figuratively speaking, one-dimensional shapes or figures are those with only one measurement, hence the name 1D ( Illustrations in one dimension).

Lines are lengths without any breadth. In mathematics, a line segment is a fixed-length portion of a line connecting two points. A ray is a part of the line that extends infinitely in one direction starting from one point.

Figures in two dimensions (2D)

Shapes or geometric figures that have only two measurements are known as two-dimensional shapes (2D) i.e.2D figures.

The dimensions of 2D figures are length and breadth, primarily. Height and depth are non-existent in 2D figures. Perimeters and areas are measured in 2D figures. Perimeter is the measurement of a two-dimensional figure.

Meters, millimeters, kilometers

Meters, centimeters, millimeters, kilometers, inches, and feet. In addition, the area of two-dimensional figures is measured in

M(square), cm(square)and km(square), m²,cm²,km² square feet.

A general overview of these two-dimensional figures is given in the Selina Concise Mathematics Class 7 ICSE Solutions for Chapter 20

Square
Rectangle
Parallelogram
Trapezium
Circle
Triangles

Three-Dimensional (3D) Figures

3D geometric figures or shapes are those with three measurements and are thus known as three-dimensional figures. Generally, 3D figures have three measures, namely length, breadth, and height or depth. Three-dimensional figures, such as books, pencils, cylinders, balls, etc. can be observed in our daily lives. Measurement of areas (lateral or curved surface area and total surface area) and volumes can be performed.

The surface area of a surface is commonly measured in square units of measurement.

Square meters, cubic meters, square kilometers. Volume is measured in cubic units, such as square meters, cubic meters, square kilometers, cm³,m³,km³, cubic hectares, etc.

Typically, three-dimensional figures are presented as follows:

Cube.
Cuboid.
Cylinder.
Sphere.
Hemi-sphere.
Cone.

Vedantu’s Selina Publishers Class 7 ICSE Solutions Benefits

Vedantu has emerged to be a leading online education portal that many swear by. The Selina ICSE Maths solutions for Class 7 Chapter 20 Mensuration created by the professional educators of Vedantu act as a free guide to pace forward in your academic life. Students who are attempting to learn the concepts of core subjects such as Maths, Physics, or Chemistry can download Vedantu’s solutions and kick start their preparation.

The platform is just ideal even for those who seek to revise before examinations. The expert teachers are available regularly to help students with updates on their study plan so that they are also familiar with how their study is progressing.

To help a large number of students prepare for mathematics lessons and score good marks in the Class 7 examinations, the Selina solutions for Class 7 Chapter 20 Mensuration is available. It can be downloaded free of cost from Vedantu’s website with a single click. The PDF is also available for all chapters individually.

The necessary theorems, formulas, and concepts on the mensuration of the sphere (called spherics) and different other geometrical objects are compiled into online textbooks.

Vedantu Online Workbook Selina Solutions for Class 7 Math Chapter 20 Mensuration

Selina ICSE Chapter 20 Mensuration Solutions for Class 7 all questions are explained and answered by expert teachers as per ICSE board guidelines. By studying these Selina ICSE Solutions for Class 7 Chapter 20 based on Perimeter and area of rectilinear figures, you will be able to easily score high marks in ICSE Class 7 Board Examinations.

Selina Solutions for Class 7 Math Chapter 20 Mensuration is the best study material for students who find difficulties in solving mensuration problems. Those students can easily refer to and download the Free PDF of Selina Solutions for ICSE Class 7 Math Chapter 20 from the Vedantu’s given link. The solutions to all questions in Selina Solutions for Class 7 are available in a detailed and step-by-step method to help students understand Chapter 20 Mensuration more effectively.

Topics Covered in Free PDF Selina Solutions for ICSE Class 7 Maths Chapter 20 Mensuration

The online workbook covers all the topics in detail along with formulas and solved problems related to the chapter. Some of the essential topics of this lesson included in the Selina solutions free PDF download are listed below.

Cube and Cuboid.
Units of area measurement.
Perimeter and area of squares and rectangles.
Areas of a parallelogram and rhombus.
Area of a triangle.
Area between rectangles.
Surface Area And Volume.
Square kilometer.
Square meter.
Square centimeter.
Square millimeter.
Square decimeter.
Hectare.

You can easily download the PDF of RD Sharma as well as Selina Solutions For Class 7 Math Chapter 20 Mensuration from Vedantu’s official website.

FAQs on Selina Concise Mathematics Class 7 ICSE Solutions for Chapter 20 - Mensuration

1. How can Vedantu’s Online Workbooks for Selina ICSE Chapter 20 Help me?

Class 7 is considered equally important as class 10 and 12 board class since most of the basic concepts are taught in this class, which are repeated in the advanced form in higher classes. Maths remains to be one of the most difficult subjects, as it needs critical thinking and analytical understanding of the subject. Having efficient knowledge of the subject enables students to know about the pattern of the examination, as well as score excellent in the subject. Getting onboard with Vedantu, you will be able to have access to:

Easy, quick, and reliable solutions.
Download free of cost online workbooks.
Solved PDF Download.
Important examination questions.
Formulas learning quick tips.
Step-by-step solutions for all questions/numerical problems.
Online tests and activities prepared by subject experts.
Lessons are designed according to the latest ICSE syllabus pattern.
Assistance available online 24/7.

2. How Vedantu Gives Students a Competitive Edge?

At Vedantu, the aim is to make education a gratuitous experience as well as prepare students for any type of questions. Possessing a team of highly experienced and committed experts having vast experience enables them to easily impart efficient knowledge to students for subjects. Teachers at Vedantu are alumni of some of the notable universities in the country. They are well equipped to recognize the requirements of every student and regulate their teaching style as per the capability of every individual.

3. For ICSE Class 7 Mathematics Chapter-20 Measurement, what are the important terms?

The Important Terminologies Used in Measuring.

Mensuration is described in the following terms:

1. Perimeter:

A geometrical figure's perimeter can be defined as the continuous length of the boundary around the figure. There are different units of measurement for this perimeter. Measurements in millimeters, centimeters, inches, etc.

2. Area:

A geometric figure's area is the amount of space or area it occupies. Units like squares are used to measure the area

m²,cm²,km² etc.

3. Lateral surface area:

It is the lateral surface area (LSA) of a geometrical figure that is covered by the lines of the laterals.

4. Area of curving surfaces:

CCA, or curvilinear surface area, refers to the region in a geometric figure that is covered by the curves.

5. The total area of the surface is:

Known as the total surface area (TSA), it is the area or region covered by the entire figure.

6. Volume:

Three-dimensional figures consist of spaces known as volumes, which are measured in cubic units of space based on the size of the figures cm³,m³,km³, cubic hectares, etc.

4. What are the formulas for measuring objects in terms of measurement?

Mathematically, two-dimensional objects are measured using formulas.

Square

The word square refers to a quadrilateral with all four sides equal and its angles equal.

Perimeter.

=4×side=4a

Area =side×side=a²

Rectangle

Consider a rectangle with length (l)

(l) and breadth (b)

Perimeter

=2(length+breadth)=2(l+b)

Area =length×breadth=l×b

Parallelogram

The parallelogram is an example

ABCD,

With ABCD as a base

(b)

Height (b) and weight (h)

Perimeter

=AB+BC+CD+AD

BC+CD+AD=AB+BC+CD+AD

The area is equal to the height plus the base.

Trapezium

Consider the trapezium with the length of parallel sides are

A B and CD, and distance between the parallel sides is h

Perimeter =a+b+c+d=a+b+c+d

Area =1/2×(a+c)×h

Triangle of Scalene

Think about a triangle with sides of scalene

lengths

a,b,c

Circumference of a,b,c = a+b+c

Area

s(s−a)(s−b)(s−c)

√=s(s−a)(s−b)(s−c)

Here,

s=a+b+c²

5. How to download Class 7 ICSE Solutions for Chapter 20 Mensuration?

Class 7 ICSE Solutions for Chapter 20 can be easily downloaded from the Vedantu website or Vedantu mobile app:

To download Class 7 ICSE Solutions for Chapter 20 Mensuration:

Go to the beginning of this page and select the option to “Download PDF.”
On the next page enter your login details if you are a registered Vedantu user. In case you have still not registered, hurry to avail all the free study material. Registration is completely free.
Once you log in, you will be redirected to a new page where your download should begin automatically.