{
  "title": "Volume of Cube - Grade 9 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is the formula for volume of a cube?", "options": {"A": "side × side", "B": "side × side × side", "C": "6 × side × side", "D": "4 × side"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "If side of cube is 3 cm, what is its volume?", "options": {"A": "9 cm³", "B": "18 cm³", "C": "27 cm³", "D": "36 cm³"}, "correct_answer": "C"},
    {"id": 3, "difficulty": "easy", "question": "Volume of cube with side 5 m is:", "options": {"A": "25 m³", "B": "100 m³", "C": "125 m³", "D": "150 m³"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "What is the volume of cube with side 2 cm?", "options": {"A": "4 cm³", "B": "6 cm³", "C": "8 cm³", "D": "12 cm³"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "If volume of cube is 64 cm³, what is its side length?", "options": {"A": "2 cm", "B": "4 cm", "C": "6 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Volume of cube with side 7 cm is:", "options": {"A": "49 cm³", "B": "294 cm³", "C": "343 cm³", "D": "392 cm³"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "What is volume of cube with side 1 m?", "options": {"A": "1 m³", "B": "3 m³", "C": "6 m³", "D": "12 m³"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "If side of cube is 10 cm, volume is:", "options": {"A": "100 cm³", "B": "500 cm³", "C": "1000 cm³", "D": "2000 cm³"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "Volume of cube with side 6 m is:", "options": {"A": "36 m³", "B": "72 m³", "C": "216 m³", "D": "432 m³"}, "correct_answer": "C"},
    {"id": 10, "difficulty": "easy", "question": "If volume is 27 m³, side length is:", "options": {"A": "3 m", "B": "4 m", "C": "5 m", "D": "6 m"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "What is volume of cube with side 0.5 m?", "options": {"A": "0.125 m³", "B": "0.25 m³", "C": "0.5 m³", "D": "1 m³"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "If side is 12 cm, volume is:", "options": {"A": "144 cm³", "B": "864 cm³", "C": "1440 cm³", "D": "1728 cm³"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "Volume of cube with side 9 cm is:", "options": {"A": "81 cm³", "B": "324 cm³", "C": "486 cm³", "D": "729 cm³"}, "correct_answer": "D"},
    {"id": 14, "difficulty": "easy", "question": "If volume is 8 cm³, side is:", "options": {"A": "1 cm", "B": "2 cm", "C": "3 cm", "D": "4 cm"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "What is volume of cube with side 4 m?", "options": {"A": "16 m³", "B": "32 m³", "C": "64 m³", "D": "128 m³"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "If side is 15 cm, volume is:", "options": {"A": "225 cm³", "B": "1350 cm³", "C": "2250 cm³", "D": "3375 cm³"}, "correct_answer": "D"},
    {"id": 17, "difficulty": "easy", "question": "Volume of cube with side 11 cm is:", "options": {"A": "121 cm³", "B": "363 cm³", "C": "726 cm³", "D": "1331 cm³"}, "correct_answer": "D"},
    {"id": 18, "difficulty": "easy", "question": "If volume is 1000 cm³, side is:", "options": {"A": "5 cm", "B": "10 cm", "C": "15 cm", "D": "20 cm"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "What is volume of cube with side 8 mm?", "options": {"A": "64 mm³", "B": "256 mm³", "C": "384 mm³", "D": "512 mm³"}, "correct_answer": "D"},
    {"id": 20, "difficulty": "easy", "question": "If side is 20 cm, volume is:", "options": {"A": "400 cm³", "B": "2000 cm³", "C": "4000 cm³", "D": "8000 cm³"}, "correct_answer": "D"},

    {"id": 21, "difficulty": "medium", "question": "Cube has side 2.5 cm. What is its volume?", "options": {"A": "6.25 cm³", "B": "12.5 cm³", "C": "15.625 cm³", "D": "31.25 cm³"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "Volume of cube is 216 cm³. Find its side.", "options": {"A": "4 cm", "B": "5 cm", "C": "6 cm", "D": "7 cm"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "If side of cube is increased by 2 times, volume increases by:", "options": {"A": "2 times", "B": "4 times", "C": "6 times", "D": "8 times"}, "correct_answer": "D"},
    {"id": 24, "difficulty": "medium", "question": "Cube has volume 512 m³. What is its side length?", "options": {"A": "6 m", "B": "7 m", "C": "8 m", "D": "9 m"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "What is volume of cube with side 3.5 cm?", "options": {"A": "12.25 cm³", "B": "24.5 cm³", "C": "36.75 cm³", "D": "42.875 cm³"}, "correct_answer": "D"},
    {"id": 26, "difficulty": "medium", "question": "If volume of cube is 1331 cm³, side is:", "options": {"A": "9 cm", "B": "10 cm", "C": "11 cm", "D": "12 cm"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "Cube with side 14 cm has volume:", "options": {"A": "196 cm³", "B": "1176 cm³", "C": "1960 cm³", "D": "2744 cm³"}, "correct_answer": "D"},
    {"id": 28, "difficulty": "medium", "question": "If side is tripled, volume becomes:", "options": {"A": "3 times", "B": "6 times", "C": "9 times", "D": "27 times"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "Volume of cube is 729 m³. Side is:", "options": {"A": "7 m", "B": "8 m", "C": "9 m", "D": "10 m"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "What is volume of cube with side 4.2 cm?", "options": {"A": "17.64 cm³", "B": "52.92 cm³", "C": "74.088 cm³", "D": "84.672 cm³"}, "correct_answer": "C"},
    {"id": 31, "difficulty": "medium", "question": "Cube has side 18 cm. Volume is:", "options": {"A": "324 cm³", "B": "972 cm³", "C": "1944 cm³", "D": "5832 cm³"}, "correct_answer": "D"},
    {"id": 32, "difficulty": "medium", "question": "If volume is 4096 cm³, side is:", "options": {"A": "12 cm", "B": "14 cm", "C": "16 cm", "D": "18 cm"}, "correct_answer": "C"},
    {"id": 33, "difficulty": "medium", "question": "Side of cube is 2.8 m. Volume is:", "options": {"A": "7.84 m³", "B": "15.68 m³", "C": "21.952 m³", "D": "43.904 m³"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "If side is halved, volume becomes:", "options": {"A": "1/2", "B": "1/4", "C": "1/6", "D": "1/8"}, "correct_answer": "D"},
    {"id": 35, "difficulty": "medium", "question": "Volume of cube is 2744 cm³. Side is:", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Cube with side 5.5 cm has volume:", "options": {"A": "30.25 cm³", "B": "90.75 cm³", "C": "121.55 cm³", "D": "166.375 cm³"}, "correct_answer": "D"},
    {"id": 37, "difficulty": "medium", "question": "If side increases by 50%, volume increases by:", "options": {"A": "50%", "B": "125%", "C": "237.5%", "D": "337.5%"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "Volume is 8000 cm³. Side is:", "options": {"A": "18 cm", "B": "20 cm", "C": "22 cm", "D": "24 cm"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Cube has side 7.2 m. Volume is:", "options": {"A": "51.84 m³", "B": "155.52 m³", "C": "311.04 m³", "D": "373.248 m³"}, "correct_answer": "D"},
    {"id": 40, "difficulty": "medium", "question": "If side is doubled, volume ratio new:old is:", "options": {"A": "2:1", "B": "4:1", "C": "6:1", "D": "8:1"}, "correct_answer": "D"},
    {"id": 41, "difficulty": "medium", "question": "Volume of cube is 3375 cm³. Find side.", "options": {"A": "13 cm", "B": "14 cm", "C": "15 cm", "D": "16 cm"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "medium", "question": "Cube with side 6.4 cm has volume:", "options": {"A": "40.96 cm³", "B": "122.88 cm³", "C": "163.84 cm³", "D": "262.144 cm³"}, "correct_answer": "D"},
    {"id": 43, "difficulty": "medium", "question": "If volume is 4913 cm³, side is:", "options": {"A": "15 cm", "B": "16 cm", "C": "17 cm", "D": "18 cm"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "medium", "question": "Side 9.5 cm cube volume:", "options": {"A": "85.5 cm³", "B": "171 cm³", "C": "342 cm³", "D": "857.375 cm³"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "medium", "question": "If side is reduced to 1/3, volume becomes:", "options": {"A": "1/3", "B": "1/6", "C": "1/9", "D": "1/27"}, "correct_answer": "D"},
    {"id": 46, "difficulty": "medium", "question": "Volume is 9261 cm³. Side is:", "options": {"A": "19 cm", "B": "20 cm", "C": "21 cm", "D": "22 cm"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "Cube with side 8.6 cm has volume:", "options": {"A": "73.96 cm³", "B": "221.88 cm³", "C": "443.76 cm³", "D": "636.056 cm³"}, "correct_answer": "D"},
    {"id": 48, "difficulty": "medium", "question": "If side increases from 3 cm to 6 cm, volume increase factor:", "options": {"A": "2", "B": "4", "C": "6", "D": "8"}, "correct_answer": "D"},
    {"id": 49, "difficulty": "medium", "question": "Volume 5832 cm³ cube has side:", "options": {"A": "16 cm", "B": "17 cm", "C": "18 cm", "D": "19 cm"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "Side 10.2 m cube volume:", "options": {"A": "104.04 m³", "B": "312.12 m³", "C": "624.24 m³", "D": "1061.208 m³"}, "correct_answer": "D"},
    {"id": 51, "difficulty": "medium", "question": "If volume is 6859 cm³, side is:", "options": {"A": "17 cm", "B": "18 cm", "C": "19 cm", "D": "20 cm"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "medium", "question": "Cube side 11.5 cm volume:", "options": {"A": "132.25 cm³", "B": "396.75 cm³", "C": "793.5 cm³", "D": "1520.875 cm³"}, "correct_answer": "D"},
    {"id": 53, "difficulty": "medium", "question": "If side ratio is 2:3, volume ratio is:", "options": {"A": "2:3", "B": "4:9", "C": "6:12", "D": "8:27"}, "correct_answer": "D"},
    {"id": 54, "difficulty": "medium", "question": "Volume 13824 cm³ cube side:", "options": {"A": "22 cm", "B": "23 cm", "C": "24 cm", "D": "25 cm"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "Side 12.8 cm cube volume:", "options": {"A": "163.84 cm³", "B": "491.52 cm³", "C": "983.04 cm³", "D": "2097.152 cm³"}, "correct_answer": "D"},
    {"id": 56, "difficulty": "medium", "question": "If side decreases by 20%, volume decreases by:", "options": {"A": "20%", "B": "36%", "C": "48.8%", "D": "51.2%"}, "correct_answer": "C"},
    {"id": 57, "difficulty": "medium", "question": "Volume 19683 cm³ cube side:", "options": {"A": "25 cm", "B": "26 cm", "C": "27 cm", "D": "28 cm"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "Cube with side 13.5 cm has volume:", "options": {"A": "182.25 cm³", "B": "546.75 cm³", "C": "1093.5 cm³", "D": "2460.375 cm³"}, "correct_answer": "D"},
    {"id": 59, "difficulty": "medium", "question": "If volume ratio is 1:8, side ratio is:", "options": {"A": "1:2", "B": "1:3", "C": "1:4", "D": "1:8"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Volume 27000 cm³ cube side:", "options": {"A": "28 cm", "B": "29 cm", "C": "30 cm", "D": "31 cm"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "Side 14.6 cm cube volume:", "options": {"A": "213.16 cm³", "B": "639.48 cm³", "C": "1278.96 cm³", "D": "3112.136 cm³"}, "correct_answer": "D"},
    {"id": 62, "difficulty": "medium", "question": "If side increases by 25%, volume increases by:", "options": {"A": "25%", "B": "56.25%", "C": "95.3125%", "D": "125%"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "Volume 32768 cm³ cube side:", "options": {"A": "30 cm", "B": "31 cm", "C": "32 cm", "D": "33 cm"}, "correct_answer": "C"},
    {"id": 64, "difficulty": "medium", "question": "Cube side 15.3 cm volume:", "options": {"A": "234.09 cm³", "B": "702.27 cm³", "C": "1404.54 cm³", "D": "3581.577 cm³"}, "correct_answer": "D"},
    {"id": 65, "difficulty": "medium", "question": "If volume ratio is 27:64, side ratio is:", "options": {"A": "3:4", "B": "4:5", "C": "5:6", "D": "6:7"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Volume 46656 cm³ cube side:", "options": {"A": "34 cm", "B": "35 cm", "C": "36 cm", "D": "37 cm"}, "correct_answer": "C"},
    {"id": 67, "difficulty": "medium", "question": "Side 16.4 cm cube volume:", "options": {"A": "268.96 cm³", "B": "806.88 cm³", "C": "1613.76 cm³", "D": "4410.944 cm³"}, "correct_answer": "D"},
    {"id": 68, "difficulty": "medium", "question": "If side decreases by 30%, volume decreases by:", "options": {"A": "30%", "B": "51%", "C": "65.7%", "D": "72.9%"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Volume 59319 cm³ cube side:", "options": {"A": "37 cm", "B": "38 cm", "C": "39 cm", "D": "40 cm"}, "correct_answer": "C"},
    {"id": 70, "difficulty": "medium", "question": "Cube side 17.5 cm volume:", "options": {"A": "306.25 cm³", "B": "918.75 cm³", "C": "1837.5 cm³", "D": "5359.375 cm³"}, "correct_answer": "D"},
    {"id": 71, "difficulty": "medium", "question": "If volume increases by 700%, side increases by:", "options": {"A": "100%", "B": "200%", "C": "300%", "D": "400%"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "medium", "question": "Volume 74088 cm³ cube side:", "options": {"A": "40 cm", "B": "41 cm", "C": "42 cm", "D": "43 cm"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Side 18.6 cm cube volume:", "options": {"A": "345.96 cm³", "B": "1037.88 cm³", "C": "2075.76 cm³", "D": "6434.856 cm³"}, "correct_answer": "D"},
    {"id": 74, "difficulty": "medium", "question": "If side ratio is 3:5, volume ratio is:", "options": {"A": "9:25", "B": "12:30", "C": "18:50", "D": "27:125"}, "correct_answer": "D"},
    {"id": 75, "difficulty": "medium", "question": "Volume 91125 cm³ cube side:", "options": {"A": "43 cm", "B": "44 cm", "C": "45 cm", "D": "46 cm"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "Cube side 19.7 cm volume:", "options": {"A": "388.09 cm³", "B": "1164.27 cm³", "C": "2328.54 cm³", "D": "7645.373 cm³"}, "correct_answer": "D"},
    {"id": 77, "difficulty": "medium", "question": "If volume decreases by 87.5%, side decreases by:", "options": {"A": "25%", "B": "50%", "C": "75%", "D": "87.5%"}, "correct_answer": "B"},
    {"id": 78, "difficulty": "medium", "question": "Volume 110592 cm³ cube side:", "options": {"A": "46 cm", "B": "47 cm", "C": "48 cm", "D": "49 cm"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Side 20.8 cm cube volume:", "options": {"A": "432.64 cm³", "B": "1297.92 cm³", "C": "2595.84 cm³", "D": "8998.912 cm³"}, "correct_answer": "D"},
    {"id": 80, "difficulty": "medium", "question": "If volume increases by 26 times, side increases by:", "options": {"A": "2 times", "B": "2.6 times", "C": "3 times", "D": "4 times"}, "correct_answer": "C"},

    {"id": 81, "difficulty": "hard", "question": "Three cubes of sides 3 cm, 4 cm, 5 cm are melted to form one cube. Find side of new cube.", "options": {"A": "5 cm", "B": "6 cm", "C": "7 cm", "D": "8 cm"}, "correct_answer": "B"},
    {"id": 82, "difficulty": "hard", "question": "Cube has volume 17576 cm³. Find its diagonal length.", "options": {"A": "26√3 cm", "B": "28√3 cm", "C": "30√3 cm", "D": "32√3 cm"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "If surface area of cube is 294 cm², find its volume.", "options": {"A": "216 cm³", "B": "274 cm³", "C": "343 cm³", "D": "512 cm³"}, "correct_answer": "C"},
    {"id": 84, "difficulty": "hard", "question": "Cube A has side 6 cm, Cube B has volume 512 cm³. Find ratio of their sides A:B.", "options": {"A": "3:4", "B": "2:3", "C": "4:5", "D": "5:6"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "Volume of cube is 21952 cm³. Find length of its face diagonal.", "options": {"A": "28√2 cm", "B": "32√2 cm", "C": "36√2 cm", "D": "40√2 cm"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Cube of side 8 cm is cut into smaller cubes of side 2 cm. How many cubes are formed?", "options": {"A": "32", "B": "48", "C": "64", "D": "72"}, "correct_answer": "C"},
    {"id": 87, "difficulty": "hard", "question": "If diagonal of cube is 10√3 cm, find its volume.", "options": {"A": "500 cm³", "B": "600 cm³", "C": "800 cm³", "D": "1000 cm³"}, "correct_answer": "D"},
    {"id": 88, "difficulty": "hard", "question": "Two cubes have volumes in ratio 1:27. Find ratio of their surface areas.", "options": {"A": "1:3", "B": "1:6", "C": "1:9", "D": "1:12"}, "correct_answer": "C"},
    {"id": 89, "difficulty": "hard", "question": "Cube has total surface area 384 cm². Find its volume.", "options": {"A": "216 cm³", "B": "343 cm³", "C": "512 cm³", "D": "729 cm³"}, "correct_answer": "C"},
    {"id": 90, "difficulty": "hard", "question": "If face diagonal of cube is 12√2 cm, find its volume.", "options": {"A": "864 cm³", "B": "1000 cm³", "C": "1728 cm³", "D": "2744 cm³"}, "correct_answer": "C"},
    {"id": 91, "difficulty": "hard", "question": "Cube of side 10 cm has a sphere inscribed in it. Find volume of sphere.", "options": {"A": "(500π)/3 cm³", "B": "(1000π)/3 cm³", "C": "500π cm³", "D": "1000π cm³"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Three cubes of metal with edges 3 cm, 4 cm, 5 cm are melted to form single cube. Find cost of painting at ₹5 per cm².", "options": {"A": "₹1080", "B": "₹2160", "C": "₹3240", "D": "₹4320"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "Cube has volume 10648 cm³. Find length of line joining center of one face to opposite vertex.", "options": {"A": "11√6 cm", "B": "22√2 cm", "C": "11√3 cm", "D": "22√3 cm"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "If lateral surface area of cube is 256 cm², find its volume.", "options": {"A": "216 cm³", "B": "343 cm³", "C": "512 cm³", "D": "729 cm³"}, "correct_answer": "C"},
    {"id": 95, "difficulty": "hard", "question": "Cube A has side 7 cm, Cube B has surface area 486 cm². Find ratio of volumes A:B.", "options": {"A": "49:81", "B": "343:729", "C": "7:9", "D": "8:27"}, "correct_answer": "B"},
    {"id": 96, "difficulty": "hard", "question": "Volume of cube is 13824 cm³. Find area of cross-section through diagonals of opposite faces.", "options": {"A": "288 cm²", "B": "384 cm²", "C": "576 cm²", "D": "1152 cm²"}, "correct_answer": "C"},
    {"id": 97, "difficulty": "hard", "question": "Cube of side 12 cm is painted and cut into 1 cm cubes. How many cubes have exactly two faces painted?", "options": {"A": "96", "B": "108", "C": "120", "D": "144"}, "correct_answer": "C"},
    {"id": 98, "difficulty": "hard", "question": "If space diagonal of cube is 15√3 cm, find its volume.", "options": {"A": "1250 cm³", "B": "1687.5 cm³", "C": "2250 cm³", "D": "3375 cm³"}, "correct_answer": "D"},
    {"id": 99, "difficulty": "hard", "question": "Two cubes have sides in ratio 2:5. If smaller cube volume is 64 cm³, find volume of larger cube.", "options": {"A": "625 cm³", "B": "1000 cm³", "C": "1250 cm³", "D": "2000 cm³"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "Cube has total surface area 1350 cm². It is cut into 27 equal cubes. Find total surface area of all small cubes.", "options": {"A": "1350 cm²", "B": "2700 cm²", "C": "4050 cm²", "D": "5400 cm²"}, "correct_answer": "B"}
  ]
}