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  • Last Modified 23-06-2022

NCERT Solutions for Surface Areas and Volumes Exercise 13.5 Class 9 Maths


NCERT Class 9 Maths Chapter 13.5: NCERT Exercise 13.5 Class 9 Maths deals with Surface Area and Volume. All the exercise-wise solutions along with some of the chapter-wise solutions are given by the subject matter experts here at Embibe. Numericals are present here with regards to the volume and surface area of cuboid and cube.

This article will give a detailed explanation of NCERT exercise 13.5 class 9 maths. It is going to help all the Class 9 students to get the ready-made in-hand solutions for the exercise which is concerned here. Embibe offers free NCERT solutions along with some of the chapter-wise questions in order to assess the mathematical skills of a Class 9 student. Keep on reading this article in order to know more.

Class 9 Maths Chapter 13.5: Overview

The Surface Area and Volume chapter is an important concept of Mensuration. Every student belonging to Class 9 should know the important formulas of all the geometrical shapes so that their area and volume accordingly can be calculated.

Before going into the solutions of ex 13.5 class 9 NCERT questions, let us give you all a brief overview of ex 13.5 class 9 NCERT exercise:

ClassClass 9
Name of the ChapterSurface Area and Volumes
Exercise NumberEx-13.5
Topic NameCuboid and Cube
SolutionTypeWord Problems
Official Websitehttps://ncert.nic.in/ 

Class 9 Maths Chapter 13.5

This chapter deals with Mensuration. Mensuration is referred to the part of the geometry that is concerned with the areas, volumes, surface areas, and more. From the beginning of elementary classes, students are introduced to the basic mensuration concepts which eventually increase with the subsequent years.

In a similar way, the following sections of this article will emancipate Class 9 students with the text-wise solutions, images, and entire chapter solutions so that they can practice accordingly. For easy remembrance of the concepts, the important formulas along with other quick tips will be given that will be helpful for all the Class 9 students:

Advantages of Solving Embibe’s NCERT Exercise 13.5 Class 9 Maths

Surface Area is the entire measurement of the overall solid figure whereas, volume is the total measurement of the entire region of the solid figure. Solving NCERT Class 9 Mathematics Chapter will definitely help students to get a fine knowledge of the mensuration (Surface Area and Volume) related concepts. Class 9 mathematics is the core basis for a candidate to give Class 10 board exams. So, it is advisory for all students not to ignore this chapter since this chapter will go to a longer extent in all the higher classes. Let us look at some of the key advantages of solving the NCERT Class 9 Maths Solutions below:

  • Students of Class 9 will get a clear idea of solving the Mensuration numerical by going through the solutions of Class 9 Mathematics Chapter 13.
  • The subject-matter experts formula of Embibe gives the detailed approach of NCERT Class 9 Mathematics Solutions which the students can comprehend well.
  • All the question solutions are given using a simpler approach.
  • In order to provide further assistance to all the CBSE Class 9 CBSE students in their final exam preparation, a full assessment of topics along with certain important questions are also being given. Correct marks and chapter-wise weightage are also given subsequently with that.
  • NCERT Ex 13.5 Class 9 solutions which concern to cuboid and cube numericals serve to be the last-minute saviour for all the students.
  • The NCERT Class 9 Maths Solutions are given here in the form of downloadable PDF solutions.
  • Along with the provision of a deeper understanding and analysis of the NCERT Class 9 Exercise 13.5 Solutions PDF, students are also certain given chapter-wise mock tests to practice better for their examination.

About NCERT Chapter 13 Ex 13.5

NCERT Class 12 Maths Chapter 5 Exercise 5.6 deals with Parametric equations. In this exercise, we will learn how the volume and surface area of cuboid and cube shapes can be calculated. All the students of Class 9 must know the fact that a cuboid is having six rectangular faces where the length, breadth, and height vary, and on the other hand, a cube is having six surfaces having the same length, breadth, and height. Word Problems given in the same exercise will serve to inculcate the ideas of how the two can be calculated and these are having some real-life applications.

For example, Numericals are given as to how much volume of water will be poured out when a certain volume of any substance or other material is poured in. Other questions pertain to the questions which include finding out the ratios of surface areas and more.

Methods to Solve Surface Area and Volume of Solids

Quick recap formulas for solving the exercise are given below:

For Cuboid,

Total Surface area = 2 (length × breadth + breadth × height + length × height)
Lateral Surface area = 2 height(length + breadth)
Volume of the cuboid = (length × breadth × height)
Diagonal of the cuboid =√( l2 + b2 +h2)
Perimeter of cuboid = 4 (length + breadth + height)

For Cube,

Total Surface Area = 6(side)2
Lateral Surface Area = 4 (Side)2
Volume of cube = (Side)3
Diagonal of a cube = √3l
Perimeter of cube = 12 × side

Tips and Tricks to Solve Class 9 Maths Ex-13.5

Since you have got the solution for class 9 maths ex 13.5, let us give you some essential tips and tricks for solving this exercise.

Get a Rubik’s Cube: Since the exercise deals with cuboid and cube problems, it is very much easy to use a Rubik’s Cube. This will help in idealising the concepts of all the lengths, breadths, and heights of the geometrical figures. Furthermore, solving numerical of ex 13.5 will become easier when Rubik’s Cube is used since it also boosts the memory power of the students.

Learn the Volume concepts: Know all the conversion formulas along with the volume concepts which are needed for solving the questions from this exercise. Furthermore, a quick tip is the volume units are always expressed in cubic meters/centimeters of liters/milliliters. So, knowing the conversion multiplication/division factors is very much essential.

Here we have given some of the most common used conversion factors:

  • 1 kilo = 103 base unit
  • 1 deci = 10-1 base unit (10 deci = 1 base unit)
  • 1 centi = 10-2 base unit (102 centi = 1 base unit)
  • 1 milli = 10-3 base unit (103 milli = 1 base unit)
  • 103 micro = 1 milli (1 micro = 10-3 milli)
  • 1 cm3 = 1 mL = 1 cc

Practice, Practice, and Practice: The most you will practice, the more you will excel. Test series and mock test questions should be solved by all the students since this will definitely help in solving all the word problems and they will get a good grasp of the exercise.

NOTE: Using finger tricks can help students a lot in solving all the Mensuration problems. Students must always use the formulas for the respective questions which are asked in the exercises.

FAQs on Class 9 Maths Chapter 11 Exercise 13.5

Following are some common questions that students of Class 9 may have in their mind to solve the Construction numericals:

Q.1: Where can I find free NCERT Solutions for exercise 13.5 class 9 maths?
Students can find free, comprehensive, reliable and easy-to-understand NCERT Solutions for Class 9 Maths exercise 13.5 class 9 maths at Embibe. Embibe provides all the NCERT Solutions in PDF format so that students can refer and study offline.

Q.2: Are NCERT solutions really helpful?
NCERT solutions are very much helpful since they serve to be the saviour for all the Class 9 students especially when they are facing certain problems while solving the word problems.

Q.3: What is the Class 9 Maths syllabus?
The following chapters are present in the CBSE Class 9 Maths syllabus:
– Unit I: Number Systems
– Unit II: Algebra
– Unit III: Coordinate Geometry
– Unit IV: Geometry
– Unit V: Mensuration
– Unit VI: Statistics & Probability

Q.4. Are NCERT Solutions for Class 9 Maths solutions enough for final exams?
Ans. Yes. NCERT Solutions for Class 9 Maths solutions is sufficient for CBSE Class 9 final examinations.

Q.5: What are some of the preparation tips to score good marks in CBSE Class 9 final exams?
Ans.  Students can score maximum marks in CBSE Class 9 final exams by studying and practicing all the in-text questions. Students should ensure that they have a clear understanding of all the Mathematics concepts. They can also practice the previous sample question papers to manage time efficiently.

CBSE Class 9 Related Links

Students can check the following links to get more understanding regarding CBSE Class 9 subjects and syllabus.

CBSE Class 9CBSE Class 9 Syllabus
NCERT Books for Class 9CBSE Sample Papers for Class 9 
NCERT Books for Class 9 MathsNCERT Solutions for Class 9 Maths

If you have any queries regarding this article, let us know about it in the comment section below and we will get back to you soon. Stay tuned to Embibe for more on NCERT class 9 maths exercise 13.5 solutions and more!

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