Class 10 Surface Area and Volume Quiz
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Questions and Answers

What is the volume of a sphere if its radius is tripled?

  • $81 ext{π}r^3$ (correct)
  • $64 ext{π}r^3$
  • $36 ext{π}r^3$
  • $27 ext{π}r^3$
  • What is the total surface area of a cube with edge length 4 cm?

  • $64$ sq.cm
  • $96$ sq.cm (correct)
  • $16$ sq.cm
  • $48$ sq.cm
  • What is the ratio of the volumes of two spheres if one has twice the radius of the other?

  • 2:1
  • 1:2
  • 1:4
  • 4:1 (correct)
  • If the length, width, and height of a cuboid are tripled, by what factor does its total surface area increase?

    <p>9</p> Signup and view all the answers

    What is the volume of a cone if its radius is doubled and height is halved?

    <p>$rac{1}{4} ext{π}r^2h$</p> Signup and view all the answers

    Study Notes

    Volume of a Sphere

    • If the radius of a sphere is tripled, its volume increases by a factor of 27 (3^3).

    Surface Area of a Cube

    • The total surface area of a cube with an edge length of 4 cm is 6 × (4 cm)^2 = 96 cm^2.

    Ratio of Volumes of Two Spheres

    • If one sphere has twice the radius of another, its volume is 8 times larger than the smaller sphere (2^3).

    Surface Area of a Cuboid

    • If the length, width, and height of a cuboid are tripled, its total surface area increases by a factor of 9 (3^2).

    Volume of a Cone

    • If the radius of a cone is doubled and its height is halved, its volume remains unchanged.

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    Description

    Test your knowledge of surface area and volume with this quiz, featuring questions and answers prepared by subject experts. Perfect for Class 10 students looking to practice and prepare for exams. Access a variety of problems related to surface area and volumes to enhance your understanding of these concepts.

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