{
  "title": "Volume of Cube and Cuboid - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is the volume of a cube with side 1 cm? 🧊",
      "options": { "A": "1 cm²", "B": "1 cm³", "C": "3 cm³", "D": "6 cm³" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "A cuboid is 2 cm long, 1 cm wide, 1 cm high. What is its volume? 📦",
      "options": { "A": "2 cm³", "B": "4 cm³", "C": "6 cm³", "D": "8 cm³" },
      "correct_answer": "A"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Volume of a cube = side × side × ____. Fill in the blank. 🔍",
      "options": { "A": "side", "B": "height", "C": "area", "D": "length" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "If the side of a cube is 3 cm, what is its volume? 📏",
      "options": { "A": "9 cm³", "B": "12 cm³", "C": "18 cm³", "D": "27 cm³" },
      "correct_answer": "D"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Volume of a cuboid = length × width × ____. 📐",
      "options": {
        "A": "area",
        "B": "height",
        "C": "perimeter",
        "D": "surface area"
      },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "A box is 5 cm long, 3 cm wide, 2 cm high. What is its volume? 🎁",
      "options": { "A": "10 cm³", "B": "15 cm³", "C": "25 cm³", "D": "30 cm³" },
      "correct_answer": "D"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Which unit is used for volume? 📦",
      "options": { "A": "cm²", "B": "cm³", "C": "cm", "D": "m²" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "If a cube has volume 64 cm³, what is its side length? 🧮",
      "options": { "A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "16 cm" },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "A cuboid's dimensions are 4 cm, 2 cm, 3 cm. Its volume is? 📊",
      "options": { "A": "9 cm³", "B": "14 cm³", "C": "24 cm³", "D": "48 cm³" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "How many 1 cm³ cubes can fit in a 3 cm × 2 cm × 2 cm cuboid? 🧱",
      "options": { "A": "6", "B": "12", "C": "18", "D": "24" },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Volume tells us the ____ inside a 3D shape. 🔍",
      "options": { "A": "space", "B": "area", "C": "length", "D": "weight" },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "A cube of side 0.5 m has volume ____ cm³. (1 m = 100 cm) ↔️",
      "options": { "A": "125", "B": "1250", "C": "12500", "D": "125000" },
      "correct_answer": "D"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "If length, width, height of a cuboid are all equal, it is a ____. 🔷",
      "options": {
        "A": "rectangle",
        "B": "square",
        "C": "cube",
        "D": "circle"
      },
      "correct_answer": "C"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "A water tank is 2 m long, 1 m wide, 1 m deep. How many cubic meters of water can it hold? 💧",
      "options": { "A": "2 m³", "B": "3 m³", "C": "4 m³", "D": "5 m³" },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "What is the volume of a cube with side 10 cm? 🧊",
      "options": {
        "A": "100 cm³",
        "B": "300 cm³",
        "C": "600 cm³",
        "D": "1000 cm³"
      },
      "correct_answer": "D"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "A rectangular prism has volume 60 cm³. If length=5 cm, width=3 cm, find height. 📐",
      "options": { "A": "2 cm", "B": "4 cm", "C": "6 cm", "D": "8 cm" },
      "correct_answer": "B"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Which has greater volume: a 2 cm cube or a 4 cm × 2 cm × 1 cm cuboid? ⚖️",
      "options": {
        "A": "Cube",
        "B": "Cuboid",
        "C": "Same",
        "D": "Cannot tell"
      },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "If you double the side of a cube, its volume becomes ____ times. 🔄",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "D"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "How many cubic centimeters in 1 liter? 🔄",
      "options": {
        "A": "10 cm³",
        "B": "100 cm³",
        "C": "1000 cm³",
        "D": "10000 cm³"
      },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "A matchbox is 4 cm × 2.5 cm × 1 cm. What is its volume? 🗳️",
      "options": {
        "A": "7.5 cm³",
        "B": "10 cm³",
        "C": "12.5 cm³",
        "D": "15 cm³"
      },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "A cuboid has dimensions 12 cm, 5 cm, 8 cm. Find its volume. 📏",
      "options": {
        "A": "100 cm³",
        "B": "240 cm³",
        "C": "480 cm³",
        "D": "960 cm³"
      },
      "correct_answer": "C"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "How many cubes of side 2 cm can fit in a cuboid of 10 cm × 8 cm × 6 cm? 🧩",
      "options": { "A": "30", "B": "60", "C": "120", "D": "240" },
      "correct_answer": "B"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "A cube has volume 343 cm³. What is its side? 🔍",
      "options": { "A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "A fish tank is 50 cm long, 30 cm wide, 40 cm high. What is its volume in liters? (1 L = 1000 cm³) 🐠",
      "options": { "A": "60 L", "B": "50 L", "C": "40 L", "D": "30 L" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "The volume of a room is 120 m³. If its length is 10 m and width is 4 m, find its height. 🏠",
      "options": { "A": "2 m", "B": "3 m", "C": "4 m", "D": "5 m" },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "If you triple the length of a cuboid (keeping width & height same), volume becomes ____ times. 🔄",
      "options": { "A": "3", "B": "6", "C": "9", "D": "12" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "A metal block is 2.5 m long, 2 m wide, 1 m high. Find its volume in cm³. ⚙️",
      "options": {
        "A": "5000 cm³",
        "B": "50000 cm³",
        "C": "500000 cm³",
        "D": "5000000 cm³"
      },
      "correct_answer": "D"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "A cube has side 'a'. If side is increased by 1 cm, how much does volume increase? 📈",
      "options": {
        "A": "1 cm³",
        "B": "3a² + 3a + 1 cm³",
        "C": "a³ + 1",
        "D": "3a² cm³"
      },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "The volume of a cube is 216 cm³. What is the length of its diagonal? (approx) 🔶",
      "options": { "A": "6 cm", "B": "8.5 cm", "C": "10.4 cm", "D": "12 cm" },
      "correct_answer": "C"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "How many liters of water can a tank hold if it is 1 m × 1 m × 1 m? 💦",
      "options": { "A": "10 L", "B": "100 L", "C": "1000 L", "D": "10000 L" },
      "correct_answer": "C"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "A cuboid has volume 240 cm³. Its length is 10 cm, height is 4 cm. Find its width. 📐",
      "options": { "A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "12 cm" },
      "correct_answer": "B"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Two cubes of side 3 cm each are joined end to end. Find volume of new cuboid. 🔗",
      "options": { "A": "18 cm³", "B": "27 cm³", "C": "54 cm³", "D": "81 cm³" },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "A box can hold 48 sugar cubes of side 2 cm. What is the volume of the box? 🍬",
      "options": {
        "A": "96 cm³",
        "B": "192 cm³",
        "C": "384 cm³",
        "D": "768 cm³"
      },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "If the volume of a cube is 1000 m³, what is its side in cm? (1 m = 100 cm) 🔄",
      "options": {
        "A": "10 cm",
        "B": "100 cm",
        "C": "1000 cm",
        "D": "10000 cm"
      },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "A swimming pool is 25 m long, 10 m wide, 2 m deep. What is its volume in kiloliters? (1 m³ = 1 kL) 🏊",
      "options": {
        "A": "250 kL",
        "B": "500 kL",
        "C": "750 kL",
        "D": "1000 kL"
      },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "A rectangular block of ice is 40 cm × 30 cm × 20 cm. What is its volume? 🧊",
      "options": {
        "A": "9000 cm³",
        "B": "12000 cm³",
        "C": "18000 cm³",
        "D": "24000 cm³"
      },
      "correct_answer": "D"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Which cuboid has the greatest volume? 📦",
      "options": {
        "A": "6×5×4",
        "B": "7×4×4",
        "C": "8×3×4",
        "D": "10×2×5"
      },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "A cube of side 8 cm is cut into smaller cubes of side 2 cm. How many small cubes? ✂️",
      "options": { "A": "16", "B": "32", "C": "48", "D": "64" },
      "correct_answer": "D"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "The volume of air in a room is 150 m³. If area of floor is 50 m², find height of room. 🏠",
      "options": { "A": "2 m", "B": "3 m", "C": "4 m", "D": "5 m" },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "A cargo container is 12 m long, 2.5 m wide, 2.4 m high. Find its volume. 🚚",
      "options": { "A": "72 m³", "B": "60 m³", "C": "48 m³", "D": "36 m³" },
      "correct_answer": "A"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "A cuboid has volume 720 cm³. Its sides are in ratio 3:4:5. Find its dimensions. 📐",
      "options": {
        "A": "3∛12 cm, 4∛12 cm, 5∛12 cm",
        "B": "6 cm, 8 cm, 10 cm",
        "C": "9 cm, 12 cm, 15 cm",
        "D": "12 cm, 16 cm, 20 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "If each edge of a cube is increased by 50%, by what % does volume increase? 📈",
      "options": { "A": "50%", "B": "125%", "C": "150%", "D": "237.5%" },
      "correct_answer": "D"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "A tank is 2/5 full. When 300 liters are added, it becomes 3/4 full. What is the tank's full capacity? 🛢️",
      "options": {
        "A": "6000/7 L",
        "B": "600 L",
        "C": "750 L",
        "D": "1000 L"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Three cubes of sides 3 cm, 4 cm, 5 cm are melted to form one cube. Find its side. 🔥",
      "options": { "A": "6 cm", "B": "7 cm", "C": "8 cm", "D": "9 cm" },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "A cuboid's length is doubled, width halved, height tripled. What happens to its volume? 🔄",
      "options": {
        "A": "Becomes 3 times",
        "B": "Becomes 4 times",
        "C": "Becomes 6 times",
        "D": "Remains same"
      },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "The internal dimensions of a closed box are 24 cm × 18 cm × 12 cm. Find its volume in cubic meters. 📦",
      "options": {
        "A": "0.005184 m³",
        "B": "0.05184 m³",
        "C": "0.5184 m³",
        "D": "5.184 m³"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "A rectangular water tank can hold 1.2 m³ of water. If its base area is 0.8 m², find its height. 🚰",
      "options": { "A": "1.2 m", "B": "1.5 m", "C": "1.8 m", "D": "2.0 m" },
      "correct_answer": "B"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "How many bricks 20 cm × 10 cm × 5 cm can fit in a wall 4 m × 2 m × 0.5 m? 🧱",
      "options": { "A": "400", "B": "800", "C": "1600", "D": "4000" },
      "correct_answer": "D"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "A cube has a volume of 729 cm³. What is the area of one face? 🔲",
      "options": {
        "A": "81 cm²",
        "B": "121 cm²",
        "C": "144 cm²",
        "D": "169 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "The ratio of volumes of two cubes is 8:27. What is the ratio of their sides? ⚖️",
      "options": { "A": "2:3", "B": "3:2", "C": "4:9", "D": "9:4" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "A metal block 15 cm × 12 cm × 8 cm is melted and recast into a cube. Find the cube's side. 🔨",
      "options": {
        "A": "∛1440 cm",
        "B": "10 cm",
        "C": "12 cm",
        "D": "14 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "A cuboid's length is 10 cm, volume is 400 cm³. If width and height are equal, find them. 📏",
      "options": {
        "A": "√40 cm",
        "B": "5 cm",
        "C": "6 cm",
        "D": "8 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "A room's length is 1.5 times its width, height is half its width. Volume is 192 m³. Find width. 🏠",
      "options": {
        "A": "∛256 m",
        "B": "6 m",
        "C": "8 m",
        "D": "10 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "A cube of side 12 cm is painted and cut into 1 cm cubes. How many small cubes have paint on exactly two faces? 🎨",
      "options": { "A": "48", "B": "72", "C": "96", "D": "120" },
      "correct_answer": "D"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "The volume of a cuboid is 'V'. If all dimensions are doubled, new volume is? 🔄",
      "options": { "A": "2V", "B": "4V", "C": "6V", "D": "8V" },
      "correct_answer": "D"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "A tank 80 cm long, 50 cm wide, 60 cm high is half filled with water. What is the volume of water? 💧",
      "options": {
        "A": "120000 cm³",
        "B": "240000 cm³",
        "C": "480000 cm³",
        "D": "960000 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "If a cube's volume increases by 728 cm³ when each side increases by 2 cm, find original side. 🔍",
      "options": {
        "A": "8 cm",
        "B": "10 cm",
        "C": "12 cm",
        "D": "14 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "How many cubic meters of soil to fill a pit 5 m long, 4 m wide, 2 m deep? ⛏️",
      "options": { "A": "20 m³", "B": "30 m³", "C": "40 m³", "D": "50 m³" },
      "correct_answer": "C"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "A rectangular block's length, width, height are consecutive integers. Volume is 60 cm³. Find dimensions. 🔢",
      "options": {
        "A": "3,4,5 cm",
        "B": "4,5,6 cm",
        "C": "5,6,7 cm",
        "D": "2,3,10 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "A cube and a cuboid have same volume 64 cm³. Cuboid's length=8 cm, width=4 cm. Find cuboid's height. ⚖️",
      "options": { "A": "1 cm", "B": "2 cm", "C": "3 cm", "D": "4 cm" },
      "correct_answer": "B"
    }
  ]
}