Volume and surface area

Volume and surface area of solids: cube, cuboid, cylinder, cone, sphere, prism, pyramid and frustums.

Pick a solid. Each calculator computes volume and surface area, draws the solid and shows the formulas.

Cube

V = a³; S = 6a²

Volume and surface area of a cube.

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Cuboid

V = abc; S = 2(ab+ac+bc)

Volume and surface area of a cuboid.

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Cylinder

V = πr²v; S = 2πr(r+v)

Volume and surface area of a cylinder.

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Cone

V = ⅓πr²v; S = πr(r+s)

Volume and surface area of a cone.

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Sphere

V = 4/3·πr³; S = 4πr²

Volume and surface area of a sphere.

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Prism

V = Sₚ·v; S = 2Sₚ + Sₚₗ

Volume and surface area of a general prism.

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Pyramid

V = ⅓Sₚ·v; S = Sₚ + Sₚₗ

Volume and surface area of a general pyramid.

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Square pyramid

V = ⅓a²v

Volume and surface area of a square-based pyramid.

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Frustum of a cone

V = ⅓πv(R²+Rr+r²)

Volume and surface area of a truncated cone.

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Frustum of a pyramid

V = ⅓v(S₁+S₂+√(S₁S₂))

Volume and surface area of a truncated square pyramid.

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Spherical cap

V = ⅓πv²(3R−v)

Volume and surface area of a spherical cap.

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Spherical sector

V = 2/3·πr²v

Volume and surface area of a spherical sector.

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Torus

V = 2π²Rr²; S = 4π²Rr

Volume and surface area of a torus (ring).

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Ellipsoid

V = 4/3·πabc

Volume and approximate surface area of an ellipsoid.

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Hexagonal prism

V = (3√3/2)a²·v

Volume and surface area of a regular hexagonal prism.

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