{
  "title": "Surface Area of Cube and Cuboid - Grade 6 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "A cube has ____ identical square faces. 🔲",
      "options": { "A": "4", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Surface Area of a cube = 6 × ____. 🔍",
      "options": { "A": "side", "B": "side²", "C": "side³", "D": "perimeter" },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "What is the surface area of a cube of side 1 cm? 📏",
      "options": { "A": "1 cm²", "B": "6 cm²", "C": "12 cm²", "D": "24 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "A cuboid has ____ faces. 📦",
      "options": { "A": "4", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "Surface area of a cuboid = 2(lb + bh + hl). What does 'l' stand for? 🔤",
      "options": { "A": "length", "B": "width", "C": "height", "D": "area" },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Find the surface area of a cuboid with l=2 cm, b=1 cm, h=1 cm. 📐",
      "options": { "A": "4 cm²", "B": "6 cm²", "C": "8 cm²", "D": "10 cm²" },
      "correct_answer": "D"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "If a cube's side is 3 cm, its surface area is? 🧊",
      "options": { "A": "9 cm²", "B": "18 cm²", "C": "27 cm²", "D": "54 cm²" },
      "correct_answer": "D"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "Which unit is used for surface area? 📏",
      "options": { "A": "cm", "B": "cm²", "C": "cm³", "D": "m³" },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "A cuboid has dimensions 5 cm, 3 cm, 2 cm. What is its total surface area? 📊",
      "options": { "A": "30 cm²", "B": "47 cm²", "C": "62 cm²", "D": "94 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Surface area measures the ____ of all faces. 🎨",
      "options": {
        "A": "volume",
        "B": "perimeter",
        "C": "total area",
        "D": "length"
      },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "If you double the side of a cube, its surface area becomes ____ times. 🔄",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "A cube has surface area 150 cm². What is the area of one face? 🔳",
      "options": { "A": "15 cm²", "B": "25 cm²", "C": "30 cm²", "D": "50 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "A cuboid's length, breadth, height are all equal. It is a ____. 🔷",
      "options": {
        "A": "rectangle",
        "B": "square prism",
        "C": "cube",
        "D": "pyramid"
      },
      "correct_answer": "C"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "How many faces of a cuboid are rectangles? 📦",
      "options": { "A": "4", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "A gift box is 10 cm × 10 cm × 10 cm. What is its surface area? 🎁",
      "options": {
        "A": "100 cm²",
        "B": "300 cm²",
        "C": "600 cm²",
        "D": "1000 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Which formula is for a cube's surface area? 📝",
      "options": {
        "A": "2(lb+bh+hl)",
        "B": "l × b × h",
        "C": "6a²",
        "D": "4a²"
      },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "A cube of side 0.5 m has surface area ____ cm². (1 m = 100 cm) 🔄",
      "options": { "A": "150", "B": "1500", "C": "15000", "D": "150000" },
      "correct_answer": "C"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "If surface area of a cube is 96 cm², find its side. 🔍",
      "options": { "A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "A cuboid has l=8 cm, b=5 cm, h=3 cm. Find surface area. 📐",
      "options": {
        "A": "79 cm²",
        "B": "120 cm²",
        "C": "158 cm²",
        "D": "240 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "Painting the outside of a box requires knowing its ____ area. 🖌️",
      "options": { "A": "volume", "B": "surface", "C": "base", "D": "weight" },
      "correct_answer": "B"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "A cuboid is 12 cm long, 8 cm wide, 6 cm high. Find its total surface area. 📏",
      "options": {
        "A": "288 cm²",
        "B": "432 cm²",
        "C": "576 cm²",
        "D": "864 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Three cubes of side 2 cm each are joined end to end. Find surface area of new cuboid. 🔗",
      "options": { "A": "24 cm²", "B": "48 cm²", "C": "56 cm²", "D": "72 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "The surface area of a cube is 600 cm². Find its side. 🔍",
      "options": { "A": "10 cm", "B": "12 cm", "C": "15 cm", "D": "20 cm" },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "A closed cardboard box is 40 cm × 30 cm × 20 cm. Find area of cardboard needed. 📦",
      "options": {
        "A": "2400 cm²",
        "B": "5200 cm²",
        "C": "10400 cm²",
        "D": "24000 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "If you triple the side of a cube, surface area increases by ____ times. 🔄",
      "options": { "A": "3", "B": "6", "C": "9", "D": "27" },
      "correct_answer": "C"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "A cuboid's length is twice its breadth, height equals breadth. If surface area is 88 cm², find breadth. 📐",
      "options": {
        "A": "√8.8 cm",
        "B": "3 cm",
        "C": "4 cm",
        "D": "5 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Find the surface area of a cube of volume 343 cm³. 🔄",
      "options": {
        "A": "196 cm²",
        "B": "245 cm²",
        "C": "294 cm²",
        "D": "343 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "A room is 5 m long, 4 m wide, 3 m high. Find the area of its four walls (not including ceiling/floor). 🧱",
      "options": { "A": "27 m²", "B": "47 m²", "C": "54 m²", "D": "94 m²" },
      "correct_answer": "C"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "How many square tiles of side 10 cm are needed to cover a cube of side 1 m? 🧱",
      "options": { "A": "60", "B": "600", "C": "6000", "D": "60000" },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "A cuboid has surface area 94 cm². Its dimensions are 5 cm, 3 cm, and ____ cm. 🔍",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "A cube and a cuboid have same surface area. Cube side = 6 cm. Cuboid l=9 cm, b=4 cm. Find cuboid's height. ⚖️",
      "options": {
        "A": "72/13 cm",
        "B": "4 cm",
        "C": "5 cm",
        "D": "6 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "If each edge of a cube increases by 20%, surface area increases by ____ %. 📈",
      "options": { "A": "20%", "B": "40%", "C": "44%", "D": "72.8%" },
      "correct_answer": "C"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "A metal sheet is needed to make a closed box 2 m × 1.5 m × 1 m. Find sheet area. 🛠️",
      "options": { "A": "7 m²", "B": "10 m²", "C": "13 m²", "D": "17 m²" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Two cubes of side 4 cm each are joined face to face. Find surface area of resulting cuboid. 🔗",
      "options": {
        "A": "128 cm²",
        "B": "144 cm²",
        "C": "160 cm²",
        "D": "192 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "The ratio of surface areas of two cubes is 4:9. What is the ratio of their sides? ⚖️",
      "options": { "A": "2:3", "B": "3:2", "C": "4:9", "D": "16:81" },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "A cuboid's length is 10 cm, width is half the length, height is 2 cm. Find its total surface area. 📐",
      "options": {
        "A": "120 cm²",
        "B": "160 cm²",
        "C": "200 cm²",
        "D": "240 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "Find the cost of painting a cube of side 7 cm at ₹2 per cm². 💰",
      "options": { "A": "₹294", "B": "₹392", "C": "₹588", "D": "₹686" },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "A cube of side 8 cm is cut into smaller cubes of side 2 cm. Total surface area increases by ____ times. ✂️",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "A cuboid's surface area is 376 cm². If l=10 cm, b=8 cm, find h. 🔍",
      "options": { "A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm" },
      "correct_answer": "D"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "The surface area of a cube is numerically equal to its volume. What is its side? 🔄",
      "options": { "A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "A cuboid has dimensions in ratio 2:3:4. Its surface area is 208 cm². Find its volume. 📊",
      "options": {
        "A": "96 cm³",
        "B": "192 cm³",
        "C": "384 cm³",
        "D": "768 cm³"
      },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "If surface area of a cube is increased by 69%, by what % is each side increased? 📈",
      "options": { "A": "10%", "B": "20%", "C": "30%", "D": "40%" },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "An open box (no lid) is 30 cm long, 20 cm wide, 15 cm high. Find area of cardboard needed. 📦",
      "options": {
        "A": "1800 cm²",
        "B": "2100 cm²",
        "C": "2400 cm²",
        "D": "2700 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Three cubes of sides 3 cm, 4 cm, 5 cm are melted to form one cube. Find its surface area. 🔥",
      "options": {
        "A": "216 cm²",
        "B": "294 cm²",
        "C": "384 cm²",
        "D": "486 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "A cuboid's length is doubled, width halved, height unchanged. What happens to its surface area? 🔄",
      "options": {
        "A": "Increases",
        "B": "Decreases",
        "C": "Remains same",
        "D": "Cannot say"
      },
      "correct_answer": "D"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "The surface area of a cube is 864 cm². Find the length of its diagonal. 🔶",
      "options": {
        "A": "12√2 cm",
        "B": "12√3 cm",
        "C": "24 cm",
        "D": "24√2 cm"
      },
      "correct_answer": "B"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "A room's floor area is 48 m², height is 4 m. Find area of walls if room is cuboidal. 🏠",
      "options": {
        "A": "Cannot be determined",
        "B": "96 m²",
        "C": "112 m²",
        "D": "160 m²"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "A cube is painted and cut into 64 small cubes of side 1 cm. How many small cubes have no painted face? 🎨",
      "options": { "A": "0", "B": "8", "C": "16", "D": "24" },
      "correct_answer": "B"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "The cost of painting a cuboidal hall at ₹5/m² is ₹2400. If l=20 m, h=6 m, find b. 💰",
      "options": {
        "A": "20 m",
        "B": "12 m",
        "C": "15 m",
        "D": "18 m"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "A cube of side 10 cm is cut into 1000 cubes of side 1 cm. Find increase in total surface area. ✂️",
      "options": {
        "A": "5400 cm²",
        "B": "6000 cm²",
        "C": "9000 cm²",
        "D": "10000 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "A cuboid's volume is 240 cm³. Its l:b:h = 5:4:3. Find its surface area. 📐",
      "options": {
        "A": "94 × 4^(2/3) cm²",
        "B": "188 cm²",
        "C": "235 cm²",
        "D": "282 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If surface area of a sphere equals surface area of a cube, and cube side is 6 cm, find sphere's radius (approx). ⚽",
      "options": { "A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm" },
      "correct_answer": "B"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "A cuboid's total surface area is 214 cm². Its lateral surface area is 126 cm². Find its base area. 📦",
      "options": { "A": "22 cm²", "B": "44 cm²", "C": "66 cm²", "D": "88 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "A cube of side 12 cm is painted on all faces and cut into cubes of side 3 cm. How many cubes have paint on exactly one face? 🎨",
      "options": {
        "A": "24",
        "B": "48",
        "C": "64",
        "D": "96"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "The surface area of a cube is 54 cm². If each side is reduced by 1 cm, find new surface area. 📉",
      "options": { "A": "24 cm²", "B": "32 cm²", "C": "36 cm²", "D": "48 cm²" },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "A cuboid's length, breadth, height are a, b, c. If a+b+c=12 and ab+bc+ca=47, find surface area. 🧩",
      "options": {
        "A": "47 cm²",
        "B": "94 cm²",
        "C": "144 cm²",
        "D": "188 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Find edge of a cube whose surface area equals the surface area of a cuboid 8 cm × 4 cm × 2 cm. ⚖️",
      "options": {
        "A": "√(112/6) cm",
        "B": "6 cm",
        "C": "8 cm",
        "D": "12 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "A room's length is twice its breadth, height is half its breadth. Total surface area is 448 m². Find volume. 🏠",
      "options": {
        "A": "256 m³",
        "B": "384 m³",
        "C": "512 m³",
        "D": "768 m³"
      },
      "correct_answer": "C"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "A cube of side 'a' has the same surface area as a cuboid with dimensions a, a/2, and ____. 🔍",
      "options": {
        "A": "5a/3",
        "B": "2a/3",
        "C": "3a/2",
        "D": "2a"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "A cuboid's total surface area is 832 cm². Its length and breadth are 16 cm and 8 cm. Find its height. 📏",
      "options": { "A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "D"
    }
  ]
}