Mensuration
Maharashtra Board · Class 10 · Mathematics
Flashcards for Mensuration — Maharashtra Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What is the lateral surface area of a cuboid with length l, breadth b, and height h?
Answer
Lateral surface area of cuboid = 2h(l + b) This formula calculates the area of the four vertical faces only, excluding the top and bottom faces.
Find the total surface area of a cube with side length 8 cm.
Answer
Total surface area of cube = 6l² = 6 × (8)² = 6 × 64 = 384 cm² A cube has 6 identical square faces.
What is the volume of a cylinder with radius r and height h?
Answer
Volume of cylinder = πr²h This represents the area of the circular base (πr²) multiplied by the height (h).
How do you find the slant height of a cone given its radius r and height h?
Answer
Slant height (l) = √(h² + r²) This uses the Pythagorean theorem where the slant height is the hypotenuse of a right triangle formed by the height and radius.
What is the curved surface area of a cone?
Answer
Curved surface area of cone = πrl Where r is the radius of the base and l is the slant height. This excludes the circular base area.
Find the surface area of a sphere with radius 7 cm.
Answer
Surface area of sphere = 4πr² = 4π × (7)² = 4π × 49 = 196π cm² = 196 × 22/7 = 616 cm²
What is the volume of a hemisphere with radius r?
Answer
Volume of hemisphere = (2/3)πr³ A hemisphere is half a sphere, so its volume is half the volume of a sphere: (1/2) × (4/3)πr³ = (2/3)πr³
What is the total surface area of a solid hemisphere?
Answer
Total surface area of solid hemisphere = 3πr² This includes: - Curved surface area = 2πr² - Flat circular base = πr² - Total = 2πr² + πr² = 3πr²
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What are the important topics in Mensuration for Maharashtra Board Class 10 Mathematics?
Mensuration covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Mensuration — Maharashtra Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
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There are 20 flashcards for Mensuration covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.
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