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)
- 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 x b x h
- Volume of a cube = (side)3
- Volume of a cylinder = πr2h
- Volume of a cone =
- Volume of a hemisphere = .
- Volume of a sphere =
- 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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