[
  {
    "Question": "What is the formula for the surface area of a rectangular prism?",
    "Answer": "A",
    "Explanation": "The surface area of a rectangular prism is calculated using the formula SA = 2(lw + lh + wh), where l is length, w is width, and h is height.",
    "PictureURL": "",
    "OptionA": "SA = 2(lw + lh + wh)",
    "OptionB": "SA = lwh",
    "OptionC": "SA = 2(l + w + h)",
    "OptionD": "SA = 2lw + 2lh + 2wh",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Surface Area of Rectangular Prism",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "/geometry/surface-area-rectangular-prism"
  },
  {
    "Question": "What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?",
    "Answer": "B",
    "Explanation": "The volume of a cylinder is calculated using the formula V = πr²h. Plugging in the values, V = π(3)²(5) = 45π cm³, which is approximately 141.37 cm³.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/5/5e/Cylinder.svg",
    "OptionA": "27π cm³",
    "OptionB": "45π cm³",
    "OptionC": "15π cm³",
    "OptionD": "30π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Cylinder",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "/geometry/volume-cylinder"
  },
  {
    "Question": "What is the surface area of a cone with a radius of 4 cm and a slant height of 5 cm?",
    "Answer": "C",
    "Explanation": "The surface area of a cone is given by the formula SA = πr(r + l), where r is the radius and l is the slant height. Thus, SA = π(4)(4 + 5) = 36π cm².",
    "PictureURL": "",
    "OptionA": "20π cm²",
    "OptionB": "24π cm²",
    "OptionC": "36π cm²",
    "OptionD": "28π cm²",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Surface Area of Cone",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "/geometry/surface-area-cone"
  },
  {
    "Question": "What is the volume of a pyramid with a base area of 20 cm² and a height of 9 cm?",
    "Answer": "A",
    "Explanation": "The volume of a pyramid is calculated using the formula V = (1/3) * base area * height. Therefore, V = (1/3) * 20 * 9 = 60 cm³.",
    "PictureURL": "",
    "OptionA": "60 cm³",
    "OptionB": "30 cm³",
    "OptionC": "90 cm³",
    "OptionD": "45 cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Pyramid",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "/geometry/volume-pyramid"
  },
  {
    "Question": "Which of the following shapes has the largest surface area for the same volume?",
    "Answer": "D",
    "Explanation": "Among the given options, a sphere has the smallest surface area for a given volume, while a cube has a larger surface area. The cylinder has a larger surface area than a cube but less than a rectangular prism.",
    "PictureURL": "",
    "OptionA": "Sphere",
    "OptionB": "Cube",
    "OptionC": "Cylinder",
    "OptionD": "Rectangular Prism",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Surface Area Comparison",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "/geometry/surface-area-comparison"
  },
  {
    "Question": "What is the formula for the volume of a cone?",
    "Answer": "B",
    "Explanation": "The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.",
    "PictureURL": "",
    "OptionA": "V = πr²h",
    "OptionB": "V = (1/3)πr²h",
    "OptionC": "V = 2πr²h",
    "OptionD": "V = πr²h/2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Cone Formula",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "/geometry/volume-cone-formula"
  },
  {
    "Question": "How do you calculate the surface area of a cylinder?",
    "Answer": "C",
    "Explanation": "The surface area of a cylinder is calculated using the formula SA = 2πr(h + r), where r is the radius and h is the height.",
    "PictureURL": "",
    "OptionA": "SA = πr²h",
    "OptionB": "SA = 2πrh",
    "OptionC": "SA = 2πr(h + r)",
    "OptionD": "SA = πr(h + r)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Surface Area of Cylinder",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "/geometry/surface-area-cylinder"
  },
  {
    "Question": "What is the height of a pyramid with a volume of 120 cm³ and a base area of 30 cm²?",
    "Answer": "A",
    "Explanation": "To find the height of a pyramid, use the formula V = (1/3) * base area * height. Rearranging gives height = (3V) / base area. Thus, height = (3 * 120) / 30 = 12 cm.",
    "PictureURL": "",
    "OptionA": "12 cm",
    "OptionB": "10 cm",
    "OptionC": "15 cm",
    "OptionD": "8 cm",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Height of Pyramid",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "/geometry/height-pyramid"
  },
  {
    "Question": "What is the surface area of a square pyramid with a base side of 6 cm and a slant height of 7 cm?",
    "Answer": "B",
    "Explanation": "The surface area of a square pyramid is calculated using the formula SA = base area + (1/2) * perimeter * slant height. Here, SA = 36 + (1/2)(24)(7) = 36 + 84 = 120 cm².",
    "PictureURL": "",
    "OptionA": "96 cm²",
    "OptionB": "120 cm²",
    "OptionC": "100 cm²",
    "OptionD": "110 cm²",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Surface Area of Square Pyramid",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "/geometry/surface-area-square-pyramid"
  },
  {
    "Question": "What is the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?",
    "Answer": "C",
    "Explanation": "The volume of a rectangular prism is calculated using the formula V = lwh. Therefore, V = 4 * 5 * 6 = 120 cm³.",
    "PictureURL": "",
    "OptionA": "60 cm³",
    "OptionB": "80 cm³",
    "OptionC": "120 cm³",
    "OptionD": "100 cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Rectangular Prism",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "/geometry/volume-rectangular-prism"
  },
  {
    "Question": "If the radius of a cone is doubled, how does the volume change?",
    "Answer": "B",
    "Explanation": "If the radius of a cone is doubled, the volume increases by a factor of four, since volume is proportional to the square of the radius (V = (1/3)πr²h).",
    "PictureURL": "",
    "OptionA": "It remains the same",
    "OptionB": "It quadruples",
    "OptionC": "It doubles",
    "OptionD": "It increases by a factor of three",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Effect of Radius on Cone Volume",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "/geometry/effect-radius-cone-volume"
  },
  {
    "Question": "What is the total surface area of a cylinder with a radius of 2 cm and height of 10 cm?",
    "Answer": "A",
    "Explanation": "The total surface area of a cylinder is calculated using the formula SA = 2πr(h + r). For this cylinder, SA = 2π(2)(10 + 2) = 48π cm², which is approximately 150.8 cm².",
    "PictureURL": "",
    "OptionA": "48π cm²",
    "OptionB": "40π cm²",
    "OptionC": "36π cm²",
    "OptionD": "32π cm²",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Total Surface Area of Cylinder",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "/geometry/total-surface-area-cylinder"
  },
  {
    "Question": "What is the height of a cylinder with a volume of 100 cm³ and a radius of 5 cm?",
    "Answer": "C",
    "Explanation": "To find the height of a cylinder, use the formula V = πr²h. Rearranging gives height = V / (πr²). Thus, height = 100 / (π * 5²) = 4 / π cm, approximately 1.27 cm.",
    "PictureURL": "",
    "OptionA": "2 cm",
    "OptionB": "3 cm",
    "OptionC": "4 / π cm",
    "OptionD": "5 cm",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Height of Cylinder",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "/geometry/height-cylinder"
  },
  {
    "Question": "What is the surface area of a triangular prism with a base area of 10 cm², height of 5 cm, and perimeter of the base of 12 cm?",
    "Answer": "D",
    "Explanation": "The surface area of a triangular prism is calculated using the formula SA = base area + (perimeter * height). Therefore, SA = 10 + (12 * 5) = 70 cm².",
    "PictureURL": "",
    "OptionA": "50 cm²",
    "OptionB": "60 cm²",
    "OptionC": "65 cm²",
    "OptionD": "70 cm²",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Surface Area of Triangular Prism",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "/geometry/surface-area-triangular-prism"
  },
  {
    "Question": "What is the volume of a cone with a radius of 3 cm and a height of 4 cm?",
    "Answer": "A",
    "Explanation": "The volume of a cone is calculated using the formula V = (1/3)πr²h. Therefore, V = (1/3)π(3)²(4) = 12π cm³, which is approximately 37.7 cm³.",
    "PictureURL": "",
    "OptionA": "12π cm³",
    "OptionB": "9π cm³",
    "OptionC": "15π cm³",
    "OptionD": "6π cm³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Geometry Practice Test",
    "Content Type": "Mathematics",
    "Title": "Volume of Cone Calculation",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "/geometry/volume-cone-calculation"
  }
]