{
  "title": "Volume of Cube, Cuboid, Cylinder (Mensuration) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "📦 Cube side 3 cm. Find volume. 🧊",
      "options": { "A": "27 cm³", "B": "9 cm³", "C": "18 cm³", "D": "6 cm³" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "📏 Cuboid l=5 cm, b=4 cm, h=3 cm. Volume? 📐",
      "options": { "A": "60 cm³", "B": "20 cm³", "C": "12 cm³", "D": "15 cm³" },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "🛢️ Cylinder r=7 cm, h=10 cm. Volume? (π=22/7) 🧮",
      "options": {
        "A": "1540 cm³",
        "B": "770 cm³",
        "C": "2310 cm³",
        "D": "3080 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "🎲 Cube volume=64 cm³. Find side. 🎲",
      "options": { "A": "4 cm", "B": "8 cm", "C": "16 cm", "D": "32 cm" },
      "correct_answer": "A"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "📦 Cuboid volume=120 cm³, l=10 cm, b=4 cm. Find h. 📦",
      "options": { "A": "3 cm", "B": "12 cm", "C": "30 cm", "D": "2.5 cm" },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "🧊 Cube side 2 m. Volume in cm³? 🧊",
      "options": {
        "A": "8,000,000 cm³",
        "B": "8000 cm³",
        "C": "80,000 cm³",
        "D": "800 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "🔵 Cylinder volume=πr²h. If r=5, h=2, π=3.14, volume? 🔵",
      "options": { "A": "157", "B": "78.5", "C": "314", "D": "31.4" },
      "correct_answer": "A"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "📏 Cuboid l=0.5 m, b=0.4 m, h=0.2 m. Volume in m³? 📏",
      "options": {
        "A": "0.04 m³",
        "B": "0.4 m³",
        "C": "0.004 m³",
        "D": "0.02 m³"
      },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "🎯 Cube side 10 cm. Volume in litres? (1 litre=1000 cm³) 🎯",
      "options": {
        "A": "1 litre",
        "B": "0.1 litre",
        "C": "10 litres",
        "D": "100 litres"
      },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "🚰 Cylinder r=14 cm, h=15 cm. Volume? (π=22/7) 🚰",
      "options": {
        "A": "9240 cm³",
        "B": "4620 cm³",
        "C": "18480 cm³",
        "D": "13860 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🧮 Cube volume=125 cm³. Side length? 🧮",
      "options": { "A": "5 cm", "B": "25 cm", "C": "12.5 cm", "D": "6.25 cm" },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "📦 Cuboid volume=240 cm³, l=12 cm, b=5 cm. Find h. 📦",
      "options": { "A": "4 cm", "B": "48 cm", "C": "20 cm", "D": "2 cm" },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🛢️ Cylinder volume=3850 cm³, r=7 cm (π=22/7). Find h. 🛢️",
      "options": { "A": "25 cm", "B": "50 cm", "C": "12.5 cm", "D": "75 cm" },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "🎲 Cube side 0.1 m. Volume in cm³? 🎲",
      "options": {
        "A": "1000 cm³",
        "B": "100 cm³",
        "C": "10 cm³",
        "D": "1 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "🔵 Cylinder r=3.5 cm, h=8 cm. Volume? (π=22/7) 🔵",
      "options": {
        "A": "308 cm³",
        "B": "154 cm³",
        "C": "616 cm³",
        "D": "77 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "📏 Cuboid volume=1 m³, l=2 m, b=0.5 m. Find h. 📏",
      "options": { "A": "1 m", "B": "2 m", "C": "0.5 m", "D": "4 m" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🧊 Cube side 12 cm. Volume? 🧊",
      "options": {
        "A": "1728 cm³",
        "B": "144 cm³",
        "C": "288 cm³",
        "D": "864 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "🚰 Tank r=10 cm, h=35 cm. Volume in litres? (π=22/7, 1L=1000 cm³) 🚰",
      "options": {
        "A": "11 litres",
        "B": "1.1 litres",
        "C": "110 litres",
        "D": "0.11 litres"
      },
      "correct_answer": "A"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "📦 Cuboid l=15 cm, b=10 cm, h=8 cm. Volume? 📦",
      "options": {
        "A": "1200 cm³",
        "B": "300 cm³",
        "C": "600 cm³",
        "D": "2400 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "🎯 Cylinder volume=1232 cm³, h=8 cm (π=22/7). Find r. 🎯",
      "options": { "A": "7 cm", "B": "14 cm", "C": "3.5 cm", "D": "28 cm" },
      "correct_answer": "A"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "🏗️ Concrete pillar r=14 cm, h=3 m. Find volume in cm³. (π=22/7) 🏗️",
      "options": {
        "A": "184800 cm³",
        "B": "1848 cm³",
        "C": "18480 cm³",
        "D": "1848000 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "📦 Cuboid volume=6720 cm³, l=20 cm, b=14 cm. Find h. 📦",
      "options": { "A": "24 cm", "B": "48 cm", "C": "12 cm", "D": "6 cm" },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🚰 Water tank r=1.4 m, h=2 m. How many litres water? (π=22/7, 1m³=1000L) 🚰",
      "options": {
        "A": "12320 litres",
        "B": "1232 litres",
        "C": "123.2 litres",
        "D": "12.32 litres"
      },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "🎲 Cube volume=3375 cm³. Find total surface area. 🎲",
      "options": {
        "A": "1350 cm²",
        "B": "2250 cm²",
        "C": "900 cm²",
        "D": "2700 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "🔵 Cylinder volume=1617 cm³, h=12 cm (π=22/7). Find r. 🔵",
      "options": { "A": "6.5 cm", "B": "3.5 cm", "C": "7 cm", "D": "14 cm" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "📏 Cuboid dimensions 2.5 m×2 m×1 m. Volume in litres? (1m³=1000L) 📏",
      "options": {
        "A": "5000 litres",
        "B": "500 litres",
        "C": "50 litres",
        "D": "5 litres"
      },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "🛢️ Oil drum r=21 cm, h=50 cm. Volume? (π=22/7) 🛢️",
      "options": {
        "A": "69300 cm³",
        "B": "34650 cm³",
        "C": "138600 cm³",
        "D": "17325 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "🧮 Ratio of cube volumes=8:27. Ratio of their sides? 🧮",
      "options": { "A": "2:3", "B": "4:9", "C": "8:27", "D": "2√2:3√3" },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "🎨 Cylinder height doubled, radius halved. Volume becomes? 🎨",
      "options": { "A": "Half", "B": "Same", "C": "Double", "D": "Quarter" },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "📦 Cuboid volume=480 cm³, l:h=5:3, b:h=2:1. Find l. 📦",
      "options": { "A": "10 cm", "B": "20 cm", "C": "15 cm", "D": "5 cm" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🚀 Two cylinders: r1:r2=3:4, h1:h2=5:6. Volume ratio? 🚀",
      "options": { "A": "45:96", "B": "15:32", "C": "9:16", "D": "5:8" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "🏭 Cube melted into cylinder r=7 cm, h=10.5 cm. Find original cube side (π=22/7). 🏭",
      "options": { "A": "7 cm", "B": "14 cm", "C": "21 cm", "D": "3.5 cm" },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "🔧 Cylinder volume=2156 cm³, r=7 cm (π=22/7). Find height. 🔧",
      "options": { "A": "14 cm", "B": "7 cm", "C": "28 cm", "D": "21 cm" },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "🎯 Cube side increased 20%. Volume increase %? 🎯",
      "options": { "A": "72.8%", "B": "20%", "C": "44%", "D": "60%" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "📏 Cuboid volume= xyz. If each dimension doubled, volume becomes? 📏",
      "options": {
        "A": "8 times",
        "B": "2 times",
        "C": "4 times",
        "D": "6 times"
      },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "🛢️ Cylinder r=10.5 cm, h=16 cm. Volume? (π=22/7) 🛢️",
      "options": {
        "A": "5544 cm³",
        "B": "2772 cm³",
        "C": "11088 cm³",
        "D": "1386 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🧮 Cube volume=512 cm³. Find diagonal length. 🧮",
      "options": { "A": "8√3 cm", "B": "8 cm", "C": "16 cm", "D": "12 cm" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "🎨 Cylinder volume equal to cube of side 14 cm (π=22/7). Find r if h=28 cm. 🎨",
      "options": { "A": "7 cm", "B": "14 cm", "C": "3.5 cm", "D": "21 cm" },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "🚰 Tank cuboid 1.5m×1m×0.8m. Water in litres? 🚰",
      "options": {
        "A": "1200 litres",
        "B": "120 litres",
        "C": "12 litres",
        "D": "1.2 litres"
      },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "📦 Cuboid volume=1296 cm³, sides ratio 1:2:3. Find smallest side. 📦",
      "options": { "A": "6 cm", "B": "12 cm", "C": "18 cm", "D": "36 cm" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "🏗️ Cylinder radius increased 25%, height decreased 20%. % change in volume? 🏗️",
      "options": {
        "A": "25% increase",
        "B": "25% decrease",
        "C": "5% increase",
        "D": "No change"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "🚀 Cube melted into 3 equal cylinders each r=7 cm, h=3 cm (π=22/7). Find original cube side. 🚀",
      "options": { "A": "14 cm", "B": "7 cm", "C": "21 cm", "D": "10.5 cm" },
      "correct_answer": "A"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🔵 Cylinder volume=5544 cm³, height=18 cm (π=22/7). Find TSA. 🔵",
      "options": {
        "A": "1188 cm²",
        "B": "2376 cm²",
        "C": "1782 cm²",
        "D": "2970 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "📏 Cube and cylinder same volume. Cube side=14 cm, cylinder h=28 cm (π=22/7). Find r. 📏",
      "options": { "A": "7√2 cm", "B": "14 cm", "C": "7 cm", "D": "3.5 cm" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "🧮 Cuboid volume=720 cm³, sides ratio 3:4:5. Find longest side. 🧮",
      "options": { "A": "10 cm", "B": "15 cm", "C": "20 cm", "D": "12 cm" },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "🎨 Cylinder height=radius, volume=1372π cm³. Find TSA. 🎨",
      "options": {
        "A": "1176π cm²",
        "B": "588π cm²",
        "C": "392π cm²",
        "D": "784π cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🚰 Tank r=2.1 m, h=5 m. Water at 3/4 capacity. Water volume in litres? (π=22/7) 🚰",
      "options": {
        "A": "51975 litres",
        "B": "17325 litres",
        "C": "23100 litres",
        "D": "34650 litres"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "🏭 Cube side increased 50%. % increase in volume? 🏭",
      "options": { "A": "237.5%", "B": "50%", "C": "125%", "D": "337.5%" },
      "correct_answer": "D"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "🔧 Cylinder melted into cube of side 11 cm (π=22/7). If r=7 cm, find original h. 🔧",
      "options": { "A": "10.5 cm", "B": "21 cm", "C": "14 cm", "D": "7 cm" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "🎯 Ratio of cube volumes 1:8. Ratio of surface areas? 🎯",
      "options": { "A": "1:4", "B": "1:2", "C": "1:8", "D": "1:16" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "📦 Cuboid dimensions doubled. Volume becomes? 📦",
      "options": {
        "A": "8 times",
        "B": "4 times",
        "C": "6 times",
        "D": "2 times"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "🛢️ Two cylinders: volumes 8:27, heights 2:3. Ratio of radii? 🛢️",
      "options": { "A": "2:3", "B": "4:9", "C": "√8:√27", "D": "8:27" },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🧮 Cube volume=2744 cm³. Find diagonal. 🧮",
      "options": { "A": "14√3 cm", "B": "14 cm", "C": "28 cm", "D": "7√3 cm" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "🎨 Cylinder r=10 cm, volume=4400 cm³ (π=22/7). Find TSA. 🎨",
      "options": {
        "A": "1540 cm²",
        "B": "3080 cm²",
        "C": "2310 cm²",
        "D": "4620 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🏗️ Cuboid volume=384 cm³, sides ratio 2:3:4. Find TSA. 🏗️",
      "options": {
        "A": "376 cm²",
        "B": "188 cm²",
        "C": "752 cm²",
        "D": "564 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "🚀 Cube side 8 cm melted into cylinder h=14 cm (π=22/7). Find r. 🚀",
      "options": { "A": "4√2 cm", "B": "8 cm", "C": "4 cm", "D": "2√2 cm" },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "🔵 Cylinder h=15 cm, volume=2310 cm³ (π=22/7). Find CSA. 🔵",
      "options": {
        "A": "660 cm²",
        "B": "1320 cm²",
        "C": "330 cm²",
        "D": "990 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "📏 Cube volume=1728 cm³. Find length of diagonal. 📏",
      "options": { "A": "12√3 cm", "B": "12 cm", "C": "24 cm", "D": "6√3 cm" },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🎯 Cylinder radius decreased 20%, height increased 25%. % change volume? 🎯",
      "options": {
        "A": "20% decrease",
        "B": "20% increase",
        "C": "5% decrease",
        "D": "No change"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "🚰 Tank cuboid 2m×1.5m×1m. Water filled 80%. Water in litres? 🚰",
      "options": {
        "A": "2400 litres",
        "B": "3000 litres",
        "C": "1920 litres",
        "D": "1200 litres"
      },
      "correct_answer": "A"
    }
  ]
}