Rectangular Solid (Cuboid)

V = l × w × h

l = Length

w = Width

h = Height

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Cube

V = a^3

a = Length of edge or side

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Cylinder

V = π× r× r × h

r = Radius of the circular base

h = Height

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Prism

V =0.5 × b ×h × l

b= base

l = length

h = height

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**Fun Fact**

- The prisms are polyhedrons or objects with multiple flat faces. A prism can not have any side which is curved thus objects like cylinders, cones or spheres are not prisms.

Sphere

V = (4⁄3) ×π × (r ^3 )

r = Radius of the sphere

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Pyramid

V = (1⁄3) × (l × w ) × h

l and w = Sides of base

h = Height of the pyramid

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Right Circular Cone

(1⁄3) × π × (r^2) × h

r = Radius of the circular base

h = Height

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Rectangular Pyramid

V = (1⁄3) × l × w × h

l = Length of the base

w = Width of base,

h = Height (base to tip)

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Square Pyramid

V = (1⁄3) × l × w × h

l = Length of the base

w = Width of base,

h = Height (base to apex)

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Ellipsoid

V = (4⁄3) × π × a × b × c

a, b, c = semi-axes of an ellipsoid

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Tetrahedron

V = (a^3) ⁄ (6 √2)

a = Length of the edge

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Spherical Cap

(π/3) x (H^2) x (3R−H)

H = height

S = sphere radius

A = base radius

R = sphere radius

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Frustum

(π x h) / (3 (R^2)+(r^2)+Rr))

‘R’ and ‘r’ = are radius of base and top of frustum

h = Height

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Hemisphere

(⅔ ) x (π x (r^3))

r = the radius

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NOTE

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