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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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 …
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…
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.
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 …
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:…
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…
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…
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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