Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Important Formulae: Surface Areas & Volumes

Important Formulae: Surface Areas & Volumes | Mathematics (Maths) Class 9 PDF Download

  • 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 = Area of walls of  a room = 2(ℓ + b) x h
  • Lateral surface area of a cube = 4a2
  • Curved surface area of cylinder = 2πrh
  • Total surface area of a cylinder = 2πr(r + h)Important Formulae: Surface Areas & Volumes | Mathematics (Maths) Class 9
  • 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 = 2πr
  • Total surface area of a hemisphere = 3πr2
  • Volume of a cuboid = ℓ x b x h
  • Volume of a cube = (side)3
  • Volume of a cylinder = πr2h
  • Volume of a cone = Important Formulae: Surface Areas & Volumes | Mathematics (Maths) Class 9
  • Volume of a hemisphere = Important Formulae: Surface Areas & Volumes | Mathematics (Maths) Class 9.
  • Volume of a sphere = Important Formulae: Surface Areas & Volumes | Mathematics (Maths) Class 9
  • 1000 cm3 = 1 litre

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FAQs on Important Formulae: Surface Areas & Volumes - Mathematics (Maths) Class 9

1. What is the formula to find the surface area of a cube?
Ans. The formula to find the surface area of a cube is 6 times the square of its side length. It can be expressed as SA = 6a^2, where SA represents the surface area and a represents the length of a side of the cube.
2. How do you calculate the volume of a cylinder?
Ans. The formula to calculate the volume of a cylinder is the product of the base area and the height. It can be expressed as V = πr^2h, where V represents the volume, r represents the radius of the base, and h represents the height of the cylinder.
3. What is the formula to find the surface area of a sphere?
Ans. The formula to find the surface area of a sphere is 4 times the product of π and the square of its radius. It can be expressed as SA = 4πr^2, where SA represents the surface area and r represents the radius of the sphere.
4. How do you calculate the volume of a cone?
Ans. The formula to calculate the volume of a cone is one-third times the product of π, the square of the radius of the base, and the height. It can be expressed as V = (1/3)πr^2h, where V represents the volume, r represents the radius of the base, and h represents the height of the cone.
5. What is the formula to find the surface area of a rectangular prism?
Ans. The formula to find the surface area of a rectangular prism is 2 times the sum of the products of its length and width, its length and height, and its width and height. It can be expressed as SA = 2lw + 2lh + 2wh, where SA represents the surface area, l represents the length, w represents the width, and h represents the height of the rectangular prism.
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