Mensuration
Maharashtra Board · Class 10 · Mathematics
All formulas from Mensuration in Maharashtra Board Class 10 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
3D Figure Formulae
Cuboid: LSA = 2h(l + b), TSA = 2(lb + bh + hl), Volume = lbh
Cube: LSA = 4l^2, TSA = 6l^2, Volume = l^3
Cylinder: CSA = 2πrh, TSA = 2πr(r + h), Volume = πr^2h
Cone: l = √(h^2 + r^2), CSA = πrl, TSA = πr(r + l), Volume = (1/3)πr^2h
Sphere: Surface area = 4πr^2, Volume = (4/3)πr^3
Circle Parts and Key Definitions
Area of sector (A) = (θ/360) × πr^2
Length of an arc (l) = (θ/360) × 2πr
A = (1/2)lr = lr/2
A(segment PXQ) = (θ/360) × πr^2 - (1/2)r^2 sinθ = r^2[πθ/360 - sinθ/2]
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