Mensuration
Maharashtra Board · Class 10 · Mathematics
Flashcards for Mensuration — Maharashtra Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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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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