Daily Practice Problems
Class 9 Maths
Surface Areas and Volumes
daily practice problem

Question 1:

If a cuboid has length, breadth and height are 15 cm, 10 cm and 20 cm respectively, then what is its surface area?

 

Question 2:

Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope as shown in the figure. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length 25 cm with a 3.5 cm radius?   [Take π = ]

 

Question 3:

The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.

 

Question 4:

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.

 

Question 5:

How much ice-cream can be put into a cone with base radius 3.5 cm and height 12 cm?

 

Question 6:

Two cubes of edge 6 cm are joined to form a cuboid. Find the total surface area of the cuboid.

 

Question 7:

Find the diameter of a cylinder whose height is 5 cm and numerical value of volume is equal to numerical value of curved surface area.

 

Question 8:

Find the capacity in litres of a conical vessel having height 8 cm and slant height 10 cm.

 

Question 9:

Calculate the surface area of a hemispherical dome of a temple with radius 14 m to be whitewashed from outside.

 

Question 10:

A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.

 

Question 11:

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. If 1 m3 wheat cost is Rs 10, then find total cost.

 

Question 12:

A cylindrical vessel can hold 154 g of water. If the radius of its base is 3.5 cm, and 1 cm3 of water weighs 1 g, find the depth of water.

Question 13:

Volume of two spheres are in the ratio 64 : 27. Find the ratio of their surface area.

 

Question 14:

The volume of a solid hemisphere is 1152 π cm3. Find its curved surface area.

 

Question 15:

In a cylinder, if radius is halved and height is doubled, then find the volume with respect to original volume.

 

Question 16:

A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm, find the volume of the spherical ball. [Use π = 3.14]

 

Question 17:

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?

 

Question 18:

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

 

Question 19:

A wall of length 10 m is to be built across an open ground. The height of the wall is 5 m and thickness of the wall is 42 cm. If this wall is to be built with brick of dimensions 42 cm * 12 cm * 10 cm, then how many bricks would be required?

 

Question 20:

The volume of cylindrical pipe is 748 cm3. Its length is 0.14 m and its internal radius is 0.09 m. Find thickness of pipe.

**********

Problem-solving on Class 9 Maths Surface Areas and Volumes NCERT Chapter 13 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 9 Maths Surface Areas and Volumes you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 9 Maths Surface Areas and Volumes NCERT Chapter 13, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Surface Areas and Volumes Class 9 Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Surface Areas and Volumes Class 9 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Surface Areas and Volumes. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Surface Areas and Volumes Class 9 Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Surface Areas and Volumes Class 9 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 9 Maths Surface Areas and Volumes NCERT Chapter 13

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 9 Maths Surface Areas and Volumes NCERT Chapter 13 useful.

Last but not least, to get the best hold on Class 9 Maths Surface Areas and Volumes NCERT Chapter 13, do not forget to check out:

  • Surface Areas and Volumes Class 9 Maths Best videos
  • Surface Areas and Volumes Class 9 Maths NCERT Solutions
  • Class 9 Maths Surface Areas and Volumes Revision notes
  • Surface Areas and Volumes Class 9 Maths DPPs, Download PDF of solutions
  • Class 9 Maths Surface Areas and Volumes Online Tests
  • Class 9 Maths Sample papers

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