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Surface Area and Volume Questions for Class 10 - Testbook.com

Last Updated on Jul 31, 2023
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The practice of Surface Area and Volume Questions is crucial for class 10 students preparing for their exams. We have compiled a list of problems on surface area and volumes, based on the NCERT curriculum and the latest CBSE syllabus (2022-2023). You can learn more about Surface Areas and Volume by clicking here.

Important Formulas for Surface Area and Volume:

  • Total surface area of a cuboid = 2[lb + bh + lh]
  • Total surface area of a cube = 6(side)2
  • Lateral surface area of a cuboid = 2(l + b) × h
  • Lateral surface area of a cube = 4a2
  • Curved surface area of cylinder = 2πrh
  • Total surface area of a cylinder = 2πr(r + h)
  • Curved surface area of a cone = πrl
  • Total surface area of a cone = πr(r + l)
  • Surface area of a sphere = 4πr2
  • Curved surface area of a hemisphere = 2πr2
  • Total surface area of a hemisphere = 3πr2
  • Volume of a cuboid = l × b × h
  • Volume of a cube = (side)3
  • Volume of a cylinder = πr2h
  • Volume of a cone = ⅓ πr2h
  • Volume of a sphere = 4/3 πr3
  • Volume of a hemisphere = ⅔ πr3

Practice Questions on Surface Area and Volume with Solutions

Q.1: Calculate the volume of a sphere with a radius of 5r.

Solution: Given,

Radius of sphere = 5r

Volume of a sphere = 4/3 πr3

= 4/3 π(5r)3 (given)

= 4/3 π125r3

= 500πr3 cu.units.

Related Resources
Surface Area of a Cylinder Volume of a Cylinder
Surface Area of a Sphere Volume Of Sphere
Surface Area of Cuboid Volume Of Cuboid
Surface Area Of A Cone Volume of a Cone
Surface Area Of Cube Volume Of A Cube

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Frequently Asked Questions

The total surface area of a cuboid can be found using the formula 2[lb + bh + lh], where l is the length, b is the breadth, and h is the height.

The volume of a sphere can be calculated using the formula 4/3 πr^3, where r is the radius of the sphere.

The formula for the curved surface area of a cylinder is 2πrh, where r is the radius of the base of the cylinder and h is the height.

The volume of a cone can be found using the formula 1/3 πr^2h, where r is the radius of the base of the cone and h is the height.

The total surface area of a hemisphere can be calculated using the formula 3πr^2, where r is the radius of the hemisphere.
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