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Technical Help▼ 2ᴺᴰ Moment of Area 2ᴺᴰ Moment of Area+ Added Mass & Drag Areas & Volumes Atoms Balancing (rotary) Beam Strength Beam Strength+ Bearings (low friction) Bearings (plain) Belt Drives Bending Moments BiMetallic Strip Buoyancy Carbon Steel Catenary Catenary+ Cathodic Protection Centrifugal Force Colebrook & Fanning Column Buckling Combined Stress Co-ordinates Copper Alloys Core Pressure Electrical Current Elliptical Curves Engineering Basics Explosions Fans Fatigue Flange Gaskets Flanges Floors Fluid Forces Fluid Numbers Friction Galvanic Corrosion Gears Hardness Conversion HPHT Flexible Pipe Lift Rigging Logs & Trig Machining Tolerances Metal Properties Mode Shapes Mode 14 Newton's Laws of Motion Ocean Waves Optical Lenses Padeyes Partial Pressures Piling Pipe Flow Pipe Flow+ Pipe Strength Planetary Spin Plastic Stress in Beams Plate Deflection Pressure Vessels Reel Capacity Resolution of Forces Screw Thread Machining Screw Threads Shafts Shock Loads Spring Coefficients Spring Strength Steel Beam Sizes Stress Concentration Table of the Elements Thermal Conductivity Trigonometry UniQon Upheaval Buckling Velocity & Acceleration Vessel Motions Vessel RAOs Vibration Damping Vortex Shedding Walls, Barriers & Tanks Weight Lifting Welding Wire Ropes

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Calculator Description

Areas and Volumes Calculator v1

Areas and Volumes

Subject

Areas are superficies of two-dimensional shapes including flattened or expanded surfaces of three-dimensional bodies, the properties of which can be predicted using well-known formulas.

Projected areas are those that describe the shape of a shadow that would be projected onto a flat surface by a parallel light source shone from behind a three-dimensional body and is used to define the shape factors of bodies such as for Fluid Forces.

Volumes are amounts of space occupied by three-dimensional bodies, such as blocks, prisms and spheres, the properties of which can be predicted using well-known formulas.

Calculator

Volumes calculates the surface and projected areas, volumes and principal dimensions of regular 3-D shapes such as tori, spheres, circular and elliptical cones, barrels and prisms of innumerable of sides.

Whilst the term ‘prism’ generally refers to regular pyramidal and conical volumes, you can create truncated prisms with parallel sides in the areas and volumes calculator by entering identical dimensions at both ends. In which case, you can also calculate the properties of a cylinder or right-regular-prism of up to 1000 sides.

The output data generated by Volumes can be exported to CalQlata's Fluid Forces calculator.

For help using this calculator, including its internal self-checking facility, see Technical Help

Areas and Volumes Calculator - Options

PYRAMID-PRISM

The properties of a 3-dimensional object with a cross-section of any regular polygon. The object can have parallel sides or sloping sides. It can be a pointed or a truncated pyramid.

You enter:

and the areas and volumes calculator will provide:

Number of sides
Top side width
Bottom side width
Height

Volume
Profile area (side and base)
Surface area of a single face
Surface area of all faces
Surface area of ends
Total surface area
Length of a sloping face
Length of a sloping corner

CONE-CYLINDER

The properties of a 3-dimensional object with a circular cross-section. The object can have parallel sides or sloping sides. It can be a pointed or a truncated cone.

You enter:

and the areas and volumes calculator will provide:

Top diameter
Bottom diameter
Height

Volume
Profile area (side and base)
Surface area of face
Surface area of ends
Total surface area
Length of a sloping face

SPHERE

The properties of segments and sectors of a sphere.

You enter:

and the areas and volumes calculator will provide:

Diameter
Angle

Volume Segment
Profile area Segment
Base area Segment
Surface area Segment
Volume Sector
Profile area Sector
Base area Sector
Surface area Sector

BARREL

The properties of a circular barrel. The barrel can have circular or parabolic sides.

You enter:

and the areas and volumes calculator will provide:

Top diameter
Bottom diameter
Height

Volume
Profile area (side and base)
Surface area of face
Surface area of middle
Surface area of ends

TORUS

The properties of a torus.

You enter:

and the areas and volumes calculator will provide:

Major diameter
Minor diameter

Volume
Profile area (side and base)
Surface area

Check minimum system requirements

Price: £10.00

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