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Mensuration — Flashcards

Maharashtra Board · Class 10 · Mathematics

30 flashcards for Mensuration (Maharashtra Board Class 10 Mathematics) to test yourself on key terms and facts.

45 questions30 flashcards12 formulas & key relations5 concepts

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30 Flashcards·
Cuboid volumeCuboid formula applicationCube total surface areaCylinder curved surface areaCylinder volumeCone slant heightCone curved surface areaCone volume
Card 1Cuboid volume

Solve: Find the volume of a cuboid with length 20 cm, breadth 20 cm, and height 30 cm.

Answer

Step 1: Use the cuboid volume formula: Volume = lbh. Step 2: Substitute the values: Volume = 20 × 20 × 30. Step 3: Multiply: 20 × 20 = 400, and 400 × 30 = 12000. Answer: 12000 cm³. Check: The unit is …

Card 2Cuboid formula application

When do you use the cuboid formula Volume = lbh?

Answer

Use it when a solid has length, breadth, and height like a box-shaped object. Example: If l = 8 cm, b = 5 cm, h = 4 cm, then Volume = lbh = 8 × 5 × 4 = 160 cm³. So the formula gives the space inside t…

Card 3Cube total surface area

Find the total surface area of a cube with side 6 cm.

Answer

Step 1: Use the cube formula: Total surface area = 6l². Step 2: Substitute l = 6 cm. Step 3: Compute: 6 × 6² = 6 × 36 = 216. Answer: 216 cm². Check: Surface area is measured in square centimetres.

Card 4Cylinder curved surface area

Solve: Find the curved surface area of a cylinder with radius 7 cm and height 10 cm.

Answer

Step 1: Use the cylinder formula: Curved surface area = 2πrh. Step 2: Substitute r = 7 cm and h = 10 cm. Step 3: Curved surface area = 2 × π × 7 × 10 = 140π. Step 4: Using π ≈ 22/7, area = 140 × 22/7 …

Card 5Cylinder volume

Find the volume of a cylinder with radius 3 cm and height 14 cm.

Answer

Step 1: Use the cylinder formula: Volume = πr²h. Step 2: Substitute r = 3 cm and h = 14 cm. Step 3: Volume = π × 3² × 14 = π × 9 × 14 = 126π. Step 4: Using π = 22/7, volume = 126 × 22/7 = 396. Answer:…

Card 6Cone slant height

Find the slant height of a cone with radius 6 cm and height 8 cm.

Answer

Step 1: Use the cone formula: l = √(h² + r²). Step 2: Substitute h = 8 cm and r = 6 cm. Step 3: l = √(8² + 6²) = √(64 + 36) = √100. Step 4: √100 = 10. Answer: 10 cm. Check: Slant height is a length, s…

Card 7Cone curved surface area

Find the curved surface area of a cone with radius 7 cm and slant height 10 cm.

Answer

Step 1: Use the cone formula: Curved surface area = πrl. Step 2: Substitute r = 7 cm and l = 10 cm. Step 3: Curved surface area = π × 7 × 10 = 70π. Step 4: Using π = 22/7, area = 70 × 22/7 = 220. Answ…

Card 8Cone volume

Find the volume of a cone with radius 3 cm and height 12 cm.

Answer

Step 1: Use the cone formula: Volume = (1/3) × πr²h. Step 2: Substitute r = 3 cm and h = 12 cm. Step 3: Volume = (1/3) × π × 3² × 12 = (1/3) × π × 9 × 12. Step 4: Volume = (1/3) × 108π = 36π. Step 5: …

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Frequently Asked Questions

What are the important topics in Mensuration for Maharashtra Board Class 10 Mathematics?
Key topics in Mensuration include Revision of Surface Area and Volume of Solid Figures, Frustum of a Cone and Sphere Volume Derivation, Sector of a Circle and Arc Length, Segment of a Circle. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many flashcards are available for Mensuration?
There are 30 flashcards for Mensuration covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Mensuration for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Mensuration. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Maharashtra Board Class 10 Mathematics Flashcards

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