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How To Use:  Press Reset button. For one or more objects, type in the required dimensions, and press the Calculate button. It will give results for the selected objects for which complete dimensions are entered.

INPUT   DATA							OUTPUT   VARIABLES
Objects	Dimensions   [L]						Volume  [L]3	Curved Surface   Area [L]2	Total Surface   Area [L]2
Sphere	R:
Cube	A:
Parallelepiped	A:		B:		C:
Cylinder	R:		H:
Ellipsoid	A:		B:		C:
Cone	A:		B:		H:
Torus	A:		B:

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Surface Area & Volumes Of Shaped Particles

The following formulas are used in calculating the areas and volumes:

Sphere:    V = [4/3]πR3,     S = 4πR2 Cube:    V = A3,     S = 6A2 Rectangular Parallelepiped:    V = ABC,     S = 2[AB + AC + BC] Cylinder:    V = πR2H,     S = 2πRH,     S2 = 2πR[H + R] Ellipsoid:    V = [4/3]πABC,     S ≈ 4π[(ApBp + ApCp + BpCp)/3]1/p,   p = 1.6075; {Knud Thomsen's formula} Frustrum of a right Circular Cone:    V = [1/3]πH(A2 + AB + B2)],     S = π[A + B]√[(H2 + (B - A)2],     S2 = S + π[A2 + B2]; {for a right circular cone B = 0} Torus:    V = [1/4]π2[A + B][B - A]2,     S = π2[B2 - A2]

where
     R = radius
     A,B,C = length, semi-axis length
     H = height
     V = volume of solid, length³
     S = area of surface (curved surface), length²
     S2 = total area of surface (curved plus flat)

Tips

BIBLIOGRAPHY

• Theodore L; Nanotechnology,: Basic Calculations For Engineers And Scientists; John Wiley & Sons, New Jersey, 2006
• Gieck K & Gieck R; Engineering Formulas, McGraw-Hill, New York, 1997