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Mensuration – 3D

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Cuboid

V = lbh, TSA = 2(lb + bh + hl)

Cube

V = a³, TSA = 6a², Diagonal = √3 a

Cylinder

V = πr²h, CSA = 2πrh, TSA = 2πr(r + h)

Cone

V = ⅓πr²h, CSA = πrl, l = √(r² + h²)

Sphere

V = (4/3)πr³, SA = 4πr²

Hemisphere

V = (2/3)πr³, CSA = 2πr², TSA = 3πr²

Frustum

V = (πh/3)(R² + r² + Rr)