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s2.2.9

Formulas of Solids

1,000 questions

Basic formulas for the volume and surface area of common 3D shapes are frequently tested.

Type of SolidVolumeSurface Area
Cubes3s^36s26s^2
Sphere43πr3\frac{4}{3}\pi r^34πr24\pi r^2
Cone13πr2h\frac{1}{3}\pi r^2 hπrl+πr2\pi r l + \pi r^2
Cylinderπr2h\pi r^2 h2πrh2\pi r h

Additional cube formulas: Face Diagonal = s2s\sqrt{2}, Body Diagonal = s3s\sqrt{3}.

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