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CBSE / 7 / Mathematics / Volume and Surface Area

Introduction Quiz - CBSE Class 7 Mathematics

Free practice quiz: Introduction (CBSE Class 7 Mathematics). 12 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

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Sample questions

  1. What is volume in mathematics?

    1. A measure of space inside a 3D object
    2. The weight of an object
    3. The length of an object
    4. The height of an object
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    Answer: A. A measure of space inside a 3D object

    Volume is the amount of space inside a three-dimensional object, like a cube or a cylinder.

  2. What is surface area in mathematics?

    1. The total area of the surface of a 3D object
    2. The perimeter of a 2D shape
    3. The space inside a 2D shape
    4. The length of a 3D object
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    Answer: A. The total area of the surface of a 3D object

    Surface area is the total area that the surface of an object occupies.

  3. Find the surface area of a cube with side length of 5 cm.

    1. 150 cm²
    2. 125 cm²
    3. 100 cm²
    4. 25 cm²
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    Answer: A. 150 cm²

    The surface area of a cube is 6 times the area of one face. So, 6 × (5 cm × 5 cm) = 150 cm².

  4. A cube with a side length of 6 cm and a sphere have equal volumes. Find the sphere's approximate radius.

    1. 3.6 cm
    2. 4.5 cm
    3. 5.8 cm
    4. 6 cm
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    Answer: A. 3.6 cm

    Volume of cube = 6³ = 216 cm³. Use sphere volume formula 4/3 πr³ = 216 to find r ≈ 3.6 cm.

  5. By what factor does the surface area change if a sphere's radius triples?

    1. 9 times
    2. 3 times
    3. 27 times
    4. 1 time
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    Answer: A. 9 times

    Surface area is proportional to r². Tripling radius increases surface area by 3² = 9 times.

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