Volume & Surface Area of Solids

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Volume & Surface Area of Solids MCQ & Objective Questions

The concepts of Volume & Surface Area of Solids are crucial for students preparing for various exams, including school assessments and competitive tests. Mastering these topics not only enhances your understanding of geometry but also significantly boosts your performance in objective questions. Practicing MCQs and important questions related to this topic will help you solidify your knowledge and improve your exam readiness.

What You Will Practise Here

  • Understanding the definitions of volume and surface area.
  • Formulas for calculating the volume and surface area of common solids like cubes, cylinders, cones, and spheres.
  • Application of the formulas in solving real-world problems.
  • Diagrams illustrating the dimensions and properties of different solids.
  • Conceptual clarity on the differences between volume and surface area.
  • Practice questions that challenge your understanding and application of the concepts.
  • Tips and tricks for quick calculations and problem-solving strategies.

Exam Relevance

The topic of Volume & Surface Area of Solids is frequently featured in CBSE, State Boards, NEET, and JEE exams. Students can expect a variety of question patterns, including direct calculation problems, application-based scenarios, and conceptual questions. Understanding this topic thoroughly will prepare you for both theoretical and practical questions that are commonly asked in these examinations.

Common Mistakes Students Make

  • Confusing the formulas for volume and surface area.
  • Neglecting to include units in their answers, which can lead to loss of marks.
  • Misinterpreting the dimensions of solids in word problems.
  • Overlooking the importance of drawing diagrams to visualize problems.
  • Rushing through calculations, leading to simple arithmetic errors.

FAQs

Question: What is the formula for the volume of a cylinder?
Answer: The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

Question: How do I find the surface area of a sphere?
Answer: The surface area of a sphere is given by the formula A = 4πr², where r is the radius of the sphere.

Question: Why is it important to practice MCQs on Volume & Surface Area of Solids?
Answer: Practicing MCQs helps reinforce your understanding, improves problem-solving speed, and prepares you for the types of questions you will encounter in exams.

Now is the time to enhance your skills! Dive into solving practice MCQs on Volume & Surface Area of Solids and test your understanding. Every question you tackle brings you one step closer to exam success!

Q. A cone has a radius of 2 cm and a height of 6 cm. What is its volume?
  • A. 12.57 cm³
  • B. 25.13 cm³
  • C. 8.42 cm³
  • D. 16.76 cm³
Q. A cone has a radius of 4 cm and a height of 9 cm. What is its volume?
  • A. 75.40 cm³
  • B. 113.10 cm³
  • C. 113.04 cm³
  • D. 150.80 cm³
Q. A cone has a radius of 5 cm and a height of 12 cm. What is its volume?
  • A. 78.54 cm³
  • B. 94.25 cm³
  • C. 100.00 cm³
  • D. 120.00 cm³
Q. A cube has a side length of 4 cm. What is its surface area?
  • A. 16 cm²
  • B. 32 cm²
  • C. 64 cm²
  • D. 48 cm²
Q. A cylinder has a height of 10 cm and a base radius of 2 cm. What is its surface area?
  • A. 75.40 cm²
  • B. 62.83 cm²
  • C. 40.00 cm²
  • D. 50.27 cm²
Q. A sphere has a diameter of 10 cm. What is its surface area?
  • A. 314.16 cm²
  • B. 250.00 cm²
  • C. 200.00 cm²
  • D. 150.00 cm²
Q. Calculate the surface area of a cylinder with a radius of 2 cm and a height of 10 cm.
  • A. 75.40 cm²
  • B. 62.83 cm²
  • C. 40.00 cm²
  • D. 50.27 cm²
Q. Calculate the surface area of a cylinder with a radius of 3 cm and a height of 10 cm.
  • A. 60 cm²
  • B. 62.83 cm²
  • C. 94.25 cm²
  • D. 100.00 cm²
Q. Calculate the surface area of a cylinder with a radius of 5 cm and a height of 10 cm.
  • A. 314.16 cm²
  • B. 250.00 cm²
  • C. 200.00 cm²
  • D. 150.00 cm²
Q. Calculate the surface area of a sphere with a radius of 6 cm.
  • A. 113.10 cm²
  • B. 150.80 cm²
  • C. 452.39 cm²
  • D. 226.20 cm²
Q. Find the surface area of a cone with a radius of 3 cm and a slant height of 5 cm.
  • A. 37.68 cm²
  • B. 28.26 cm²
  • C. 47.12 cm²
  • D. 50.27 cm²
Q. Find the surface area of a cone with a radius of 4 cm and a slant height of 5 cm.
  • A. 25.12 cm²
  • B. 50.24 cm²
  • C. 62.83 cm²
  • D. 78.54 cm²
Q. Find the volume of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm.
  • A. 60 cm³
  • B. 12 cm³
  • C. 15 cm³
  • D. 20 cm³
Q. Find the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm.
  • A. 60 cm³
  • B. 50 cm³
  • C. 40 cm³
  • D. 30 cm³
Q. Find the volume of a rectangular prism with length 4 cm, width 3 cm, and height 2 cm.
  • A. 24 cm³
  • B. 12 cm³
  • C. 20 cm³
  • D. 30 cm³
Q. Find the volume of a sphere with a radius of 7 cm.
  • A. 143.67 cm³
  • B. 153.94 cm³
  • C. 180.79 cm³
  • D. 200.00 cm³
Q. What is the surface area of a cone with a radius of 3 cm and a slant height of 5 cm?
  • A. 37.68 cm²
  • B. 28.26 cm²
  • C. 47.12 cm²
  • D. 50.27 cm²
Q. What is the surface area of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?
  • A. 22 cm²
  • B. 24 cm²
  • C. 26 cm²
  • D. 28 cm²
Q. What is the surface area of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?
  • A. 47 cm²
  • B. 60 cm²
  • C. 70 cm²
  • D. 50 cm²
Q. What is the surface area of a rectangular prism with length 10 cm, width 5 cm, and height 2 cm?
  • A. 70 cm²
  • B. 60 cm²
  • C. 100 cm²
  • D. 80 cm²
Q. What is the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?
  • A. 30 cm²
  • B. 40 cm²
  • C. 50 cm²
  • D. 60 cm²
Q. What is the volume of a cube with a side length of 6 cm?
  • A. 36 cm³
  • B. 72 cm³
  • C. 216 cm³
  • D. 144 cm³
Q. What is the volume of a pyramid with a base area of 20 cm² and a height of 9 cm?
  • A. 60 cm³
  • B. 80 cm³
  • C. 90 cm³
  • D. 100 cm³
Q. What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?
  • A. 30 cm³
  • B. 25 cm³
  • C. 20 cm³
  • D. 15 cm³
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