{
  "title": "Surface Area of Cube, Cuboid (Mensuration) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "What is total surface area of cube with side 3 cm? 🧊",
      "options": { "A": "9 cm²", "B": "18 cm²", "C": "27 cm²", "D": "54 cm²" },
      "correct_answer": "D"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Surface area of cuboid with l=5 cm, b=4 cm, h=3 cm is? 📦",
      "options": {
        "A": "47 cm²",
        "B": "60 cm²",
        "C": "94 cm²",
        "D": "120 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Lateral surface area of cube side 4 cm is? 🔳",
      "options": {
        "A": "16 cm²",
        "B": "64 cm²",
        "C": "96 cm²",
        "D": "48 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "If side of cube doubles, surface area becomes ____ times. 🔄",
      "options": { "A": "2", "B": "4", "C": "6", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "How many faces does a cube have? 🎲",
      "options": { "A": "4", "B": "6", "C": "8", "D": "12" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "What is lateral surface area of cuboid? 📏",
      "options": {
        "A": "2(lb+bh+hl)",
        "B": "2(l+b)h",
        "C": "2h(l+b)",
        "D": "lbh"
      },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Surface area of cube = 6 × ____. ✖️",
      "options": { "A": "side", "B": "side²", "C": "side³", "D": "edge" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "If cuboid has l=6, b=5, h=4, total surface area is? 📐",
      "options": {
        "A": "120",
        "B": "148",
        "C": "240",
        "D": "168"
      },
      "correct_answer": "B"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Lateral surface area of cube side 'a' is? 🔄",
      "options": { "A": "4a²", "B": "6a²", "C": "a³", "D": "2a²" },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Surface area of cube with side 10 cm is? 🧊",
      "options": {
        "A": "100 cm²",
        "B": "600 cm²",
        "C": "1000 cm²",
        "D": "60 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Cuboid with all edges equal becomes a ____. 🔄",
      "options": {
        "A": "Cube",
        "B": "Sphere",
        "C": "Cylinder",
        "D": "Pyramid"
      },
      "correct_answer": "A"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "If each edge of cube is increased by 50%, surface area increases by? 📈",
      "options": { "A": "50%", "B": "125%", "C": "100%", "D": "150%" },
      "correct_answer": "B"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "Number of edges in cuboid? 📦",
      "options": { "A": "8", "B": "12", "C": "6", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "Surface area of cube side 0.5 m in cm² is? 📏",
      "options": {
        "A": "150 cm²",
        "B": "1500 cm²",
        "C": "15,000 cm²",
        "D": "150,000 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "What is area of one face of cube side 7 cm? 🎯",
      "options": { "A": "14 cm²", "B": "49 cm²", "C": "28 cm²", "D": "42 cm²" },
      "correct_answer": "B"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Lateral surface area of cuboid l=8, b=6, h=5 is? 📐",
      "options": { "A": "140", "B": "118", "C": "236", "D": "280" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "If surface area of cube is 96 cm², side is? ➗",
      "options": {
        "A": "4 cm",
        "B": "8 cm",
        "C": "6 cm",
        "D": "5 cm"
      },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Total surface area includes all ____ faces. ✅",
      "options": { "A": "4", "B": "5", "C": "6", "D": "8" },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Cuboid has dimensions 2 cm × 3 cm × 4 cm. Its surface area is? 📦",
      "options": { "A": "24 cm²", "B": "26 cm²", "C": "52 cm²", "D": "48 cm²" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "If side of cube is halved, surface area becomes ____ of original. 🔄",
      "options": {
        "A": "half",
        "B": "one-fourth",
        "C": "one-eighth",
        "D": "double"
      },
      "correct_answer": "B"
    },

    {
      "id": 21,
      "difficulty": "medium",
      "question": "Surface area of cube is 150 cm². Find volume. 🧊",
      "options": {
        "A": "125 cm³",
        "B": "100 cm³",
        "C": "64 cm³",
        "D": "216 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Cuboid lateral surface area is 100 m², height 5 m, perimeter of base is? 📏",
      "options": { "A": "20 m", "B": "25 m", "C": "30 m", "D": "10 m" },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Three cubes side 2 cm are joined end to end. Surface area of resulting cuboid? 🔗",
      "options": {
        "A": "72 cm²",
        "B": "64 cm²",
        "C": "56 cm²",
        "D": "80 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "If surface area of cuboid is 94 cm², l=5, b=4, find h. ➗",
      "options": {
        "A": "3.5 cm",
        "B": "4 cm",
        "C": "2.5 cm",
        "D": "3 cm"
      },
      "correct_answer": "D"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Cube and cuboid have same total surface area. Cube side 6 cm, cuboid l=8, b=4, find h. ⚖️",
      "options": {
        "A": "5.5 cm",
        "B": "6 cm",
        "C": "5 cm",
        "D": "4.8 cm"
      },
      "correct_answer": "C"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "Length of diagonal of cube is 6√3 cm. Find surface area. 📐",
      "options": {
        "A": "216 cm²",
        "B": "144 cm²",
        "C": "108 cm²",
        "D": "72 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Cuboid dimensions in ratio 2:3:4. Surface area is 208 cm². Find dimensions. 📏",
      "options": { "A": "4,6,8", "B": "2,3,4", "C": "6,9,12", "D": "8,12,16" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Edge of cube increased by 10%. Surface area increases by? 📈",
      "options": { "A": "10%", "B": "21%", "C": "30%", "D": "33%" },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "Find cost of painting cuboid 10m×5m×3m at ₹2 per m². 💰",
      "options": { "A": "₹280", "B": "₹340", "C": "₹380", "D": "₹400" },
      "correct_answer": "C"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Surface area of cube is 384 cm². Find side. ➗",
      "options": { "A": "8 cm", "B": "6 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Cuboid volume 240 cm³, l=8, b=6, find total surface area. 📦",
      "options": {
        "A": "248 cm²",
        "B": "236 cm²",
        "C": "256 cm²",
        "D": "264 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Four cubes side 3 cm joined to form cuboid. Surface area? 🔗",
      "options": {
        "A": "162 cm²",
        "B": "144 cm²",
        "C": "180 cm²",
        "D": "198 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "If each edge of cube is tripled, surface area ratio new:old? 🔄",
      "options": { "A": "3:1", "B": "6:1", "C": "9:1", "D": "12:1" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "Cuboid lateral surface area 120 cm², height 5 cm, length 8 cm. Find breadth. 📏",
      "options": { "A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Cube surface area is 54 cm². Find diagonal. 📐",
      "options": { "A": "3√3 cm", "B": "4√3 cm", "C": "5√3 cm", "D": "6√3 cm" },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Find area of cardboard needed for open box (no top) l=12, b=10, h=8 cm. 📦",
      "options": {
        "A": "496 cm²",
        "B": "592 cm²",
        "C": "432 cm²",
        "D": "512 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "If cuboid surface area 94 cm², l=5, h=3, find b. ➗",
      "options": { "A": "4 cm", "B": "3.5 cm", "C": "4.5 cm", "D": "5 cm" },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Cube side 5 cm painted on all faces, cut into 1 cm cubes. How many have paint on 2 faces? 🎨",
      "options": { "A": "36", "B": "24", "C": "48", "D": "12" },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Surface area of cuboid is 280 cm². If l:b:h = 3:2:2, find l. 📏",
      "options": { "A": "6 cm", "B": "9 cm", "C": "12 cm", "D": "15 cm" },
      "correct_answer": "B"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Cube diagonal 8√3 cm. Find total surface area. 📐",
      "options": {
        "A": "384 cm²",
        "B": "512 cm²",
        "C": "256 cm²",
        "D": "192 cm²"
      },
      "correct_answer": "A"
    },

    {
      "id": 41,
      "difficulty": "hard",
      "question": "Open box (no lid) made of wood 2 cm thick, external dimensions 10×8×6 cm. Find inner surface area. 📦",
      "options": {
        "A": "208 cm²",
        "B": "184 cm²",
        "C": "196 cm²",
        "D": "176 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Cube side 12 cm, a square hole 4 cm side cut through. Find remaining surface area. 🔳",
      "options": {
        "A": "864 cm²",
        "B": "928 cm²",
        "C": "896 cm²",
        "D": "912 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Cuboid surface area 332 cm², l:b = 3:2, b:h = 4:5. Find volume. 📦",
      "options": {
        "A": "360 cm³",
        "B": "384 cm³",
        "C": "420 cm³",
        "D": "480 cm³"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Three cubes sides 3,4,5 cm melted to form one cube. Find surface area new cube. 🔥",
      "options": {
        "A": "216 cm²",
        "B": "294 cm²",
        "C": "384 cm²",
        "D": "486 cm²"
      },
      "correct_answer": "D"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "Cuboid diagonal length 3√14 cm, surface area 198 cm², edges in ratio 1:2:3. Find edges. 📏",
      "options": { "A": "3,6,9", "B": "2,4,6", "C": "4,8,12", "D": "5,10,15" },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Cube painted, cut into 64 small cubes side 1 cm. How many cubes have no painted face? 🎨",
      "options": {
        "A": "8",
        "B": "16",
        "C": "24",
        "D": "27"
      },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "If surface area of cube equals surface area of sphere, cube side 6 cm, sphere radius? ⚖️",
      "options": {
        "A": "3√π cm",
        "B": "3√(6/π) cm",
        "C": "√(54/π) cm",
        "D": "√(216/π) cm"
      },
      "correct_answer": "C"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "Cuboid has total surface area 94 cm², lateral surface area 60 cm², height 5 cm. Find volume. 📦",
      "options": { "A": "60 cm³", "B": "72 cm³", "C": "84 cm³", "D": "90 cm³" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "Cube side 8 cm, corners cut off to form polyhedron. Find new surface area if cut off cubes side 1 cm. ✂️",
      "options": {
        "A": "384 cm²",
        "B": "480 cm²",
        "C": "432 cm²",
        "D": "456 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Cuboid surface area 214 cm², length twice breadth, height 5 cm. Find dimensions. 📏",
      "options": { "A": "6,3,5", "B": "8,4,5", "C": "10,5,5", "D": "12,6,5" },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Two cubes sides 6 cm and 8 cm joined face to face. Surface area of resulting solid? 🔗",
      "options": {
        "A": "728 cm²",
        "B": "664 cm²",
        "C": "600 cm²",
        "D": "536 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "Cube surface area 96 cm², cut into two equal cuboids. Total surface area of both cuboids? ✂️",
      "options": {
        "A": "128 cm²",
        "B": "144 cm²",
        "C": "160 cm²",
        "D": "176 cm²"
      },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Cuboid length increased by 10%, breadth decreased by 10%, height unchanged. Surface area change? 📈",
      "options": {
        "A": "Decreases by 1%",
        "B": "Increases by 1%",
        "C": "Unchanged",
        "D": "Decreases by 2%"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "If each edge of cube increases by 2 cm, surface area increases by 216 cm². Find original side. ➕",
      "options": { "A": "6 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm" },
      "correct_answer": "B"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "Cuboid volume 720 cm³, sides ratio 3:4:5. Find total surface area. 📦",
      "options": {
        "A": "376 cm²",
        "B": "384 cm²",
        "C": "392 cm²",
        "D": "400 cm²"
      },
      "correct_answer": "B"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "Cube painted, cut into n³ small cubes. Number with 2 faces painted = 12(n-2). For n=8, how many? 🎨",
      "options": {
        "A": "72",
        "B": "64",
        "C": "96",
        "D": "108"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Cuboid diagonal length √77 cm, surface area 66 cm², two edges equal. Find dimensions. 📏",
      "options": { "A": "3,3,5", "B": "4,4,3", "C": "2,2,7", "D": "5,5,2" },
      "correct_answer": "B"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Cube side 10 cm, a square hole 4 cm side drilled through center perpendicular to face. Find remaining surface area. 🔳",
      "options": {
        "A": "728 cm²",
        "B": "752 cm²",
        "C": "776 cm²",
        "D": "800 cm²"
      },
      "correct_answer": "C"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "If cuboid surface area 94, length 5, height 4, find breadth. ➗",
      "options": { "A": "3", "B": "3.5", "C": "4", "D": "4.5" },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "Cube side a, all faces painted, cut into 125 small cubes. How many cubes have paint on exactly one face? 🎨",
      "options": { "A": "54", "B": "64", "C": "72", "D": "96" },
      "correct_answer": "A"
    }
  ]
}