- Important formulas of maths class 9
- Important formulas of maths class 9 PDF download link
- Class 9 maths notes of chapter 13 surface area and volume
- Class 9 maths notes of chapter 13 PDF download link
Important formulas of maths class 9
CUBOID
Let length = l, breadth = b and height = h.
Then, we have:
(i) Volume of cuboid = (l x b xh) cubic units.
(ii) Total surface area of the cuboid=2(lb+bh+lh) sq units.
(iii) Lateral surface area of the cuboid = (2(l+b) × h) sq units.
(iv) Diagonal of the cuboid = {√l²+ b² + h²) units.
CUBE
Let each edge of the cube be a. Then, we have:
(i) Volume of the cube=a^3cubic units.
(ii) Total surface area of the cube= (6a²) sq units.
(ii) Lateral surface area of the cube= (4a²) sq units.
(iv) Diagonal of the cube= (a√3) units.
CYLINDER
Let the radius of the base be r and height be h.
Then, we have:
(i) Volume of the cylinder = (πr²h) cubic units.
(ii) Total surface area of the cylinder = (2πr(r+h)) sq units.
(iii) Curved surface area of the cylinder - (2πrh) sq units.
CONE
Let the radius of its base be r, height be hand slant height be
Then, we have:
(1) Volume of the cone = (⅓ πr²h) cubic units.
(ii) Curved surface area of the cone= (πrl) sq units.
(iii) Total surface area of the cone= (πrl+2πr²) sq units.
(iv) Slant height of the cone= √l²+r².
SPHERE
Let the radius of the sphere be r.
Then, we have:
(i) Volume of the sphere = {4/3 πr³} cubic units.
(ii) Surface area of the sphere = (4πr²) sq units.
HEMISPHERE
Let the radius of the hemisphere be r.
Then, we have:
(1) Volume of the hemisphere = (2/3πr³) cubic units.
(ii) Curved surface area of the hemisphere = (2πr²) sq units.
(iii) Total surface area of the hemisphere = (3πr²) sq units.
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Important formulas of surface area and volume maths class 9 PDF
Class 9 maths notes of chapter 13 surface area and volume
Cuboid
Area of face AEHD = Area of face BFGC = (b × h) cm2
Area of face ABFE = Area of face DHGC = (l × h) cm2
Total surface area (TSA) of cuboid = Sum of the areas of all its six faces
= 2(l × b) + 2(b × h) + 2(l × h)
TSA (cuboid)= 2(lb + bh +lh)
The lateral surface area of the cuboid
= Area of face AEHD + Area of face BFGC + Area of face ABFE + Area of face DHGC
= 2(b × h) + 2(l × h)
LSA (cuboid) = 2(l + b)h Or perimeter × h
Cube
Right Circular Cylinder
Right Circular Cone
Sphere
Volume and capacity
- Volume of cuboid = (l x b xh) cubic units
- Volume of the cube=a^3cubic units
- Volume of the cylinder = (πr²h) cubic units
- Volume of the cone = (⅓ πr²h) cubic units
- Volume of the sphere = {4/3 πr³} cubic units
- Volume of the hemisphere = (2/3πr³) cubic units
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