Mensuration

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Mensuration MCQ & Objective Questions

Mensuration is a crucial topic in mathematics that deals with the measurement of geometric figures and their properties. Understanding mensuration is essential for students as it frequently appears in school exams and competitive assessments. Practicing MCQs and objective questions in mensuration not only enhances conceptual clarity but also boosts confidence, helping students score better in their exams.

What You Will Practise Here

  • Area and perimeter of basic shapes like squares, rectangles, and triangles
  • Volume and surface area of three-dimensional figures such as cubes, cylinders, and spheres
  • Formulas for calculating areas and volumes
  • Real-life applications of mensuration concepts
  • Understanding and interpreting diagrams related to mensuration
  • Problem-solving techniques for complex mensuration questions
  • Important mensuration questions for exams

Exam Relevance

Mensuration is a significant part of the mathematics syllabus in CBSE, State Boards, NEET, and JEE. Students can expect questions related to the calculation of areas and volumes, often presented in multiple-choice formats. Common question patterns include direct calculations, application-based problems, and questions that require the use of formulas in real-world scenarios. Mastering mensuration can greatly enhance your performance in these examinations.

Common Mistakes Students Make

  • Confusing the formulas for area and perimeter, leading to incorrect answers
  • Overlooking units of measurement, which can affect the final result
  • Misinterpreting the dimensions given in word problems
  • Failing to visualize the shapes, which can complicate calculations
  • Not practicing enough variety in objective questions, limiting exposure to different problem types

FAQs

Question: What are some important Mensuration MCQ questions to focus on?
Answer: Focus on questions related to calculating areas and volumes of common shapes, as well as application-based problems that relate to real-life scenarios.

Question: How can I improve my understanding of Mensuration concepts?
Answer: Regular practice of objective questions and solving previous years' exam papers can significantly enhance your understanding and retention of mensuration concepts.

Start your journey towards mastering mensuration today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success in mathematics begins with a strong foundation in mensuration!

Q. A circle has a diameter of 14 m. What is its area? (Use π = 3.14)
  • A. 153.86 m²
  • B. 154 m²
  • C. 150 m²
  • D. 160 m²
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 2 cm and a height of 9 cm. What is its volume?
  • A. 12π cm³
  • B. 18π cm³
  • C. 24π cm³
  • D. 36π cm³
Q. A cone has a radius of 3 cm and a height of 4 cm. What is its volume?
  • A. 12π cm³
  • B. 36π cm³
  • C. 9π cm³
  • D. 18π 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. A sphere has a radius of 4 cm. What is its volume?
  • A. 32π cm³
  • B. 64π cm³
  • C. 48π cm³
  • D. 16π cm³
Q. A sphere has a radius of 5 cm. What is its volume?
  • A. 100π/3 cm³
  • B. 125π/3 cm³
  • C. 150π/3 cm³
  • D. 75π/3 cm³
Q. A square has a perimeter of 40 cm. What is the length of one side?
  • A. 10 cm
  • B. 8 cm
  • C. 12 cm
  • D. 6 cm
Q. A triangle has a base of 8 cm and a height of 5 cm. What is its area?
  • A. 20 cm²
  • B. 30 cm²
  • C. 40 cm²
  • D. 50 cm²
Q. A triangle has an area of 24 m² and a base of 8 m. What is the height?
  • A. 6 m
  • B. 8 m
  • C. 4 m
  • D. 3 m
Q. A triangle has an area of 36 m² and a base of 12 m. What is the height?
  • A. 4 m
  • B. 6 m
  • C. 8 m
  • D. 10 m
Q. A triangle has an area of 48 m² and a base of 16 m. What is the height?
  • A. 4 m
  • B. 6 m
  • C. 8 m
  • D. 10 m
Q. A triangle has an area of 50 m² and a base of 10 m. What is the height?
  • A. 5 m
  • B. 10 m
  • C. 15 m
  • D. 20 m
Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. What is its area?
  • A. 30 cm²
  • B. 60 cm²
  • C. 40 cm²
  • D. 50 cm²
Q. A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. What is its area?
  • A. 24 cm²
  • B. 30 cm²
  • C. 36 cm²
  • D. 40 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. If the area of a triangle is 24 cm² and the height is 6 cm, what is the base?
  • A. 4 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
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