Areas and Volumes
Subject
Areas are superficies of twodimensional shapes including flattened or expanded surfaces of threedimensional bodies, the properties of which can be predicted using wellknown 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 threedimensional body and is used to define the shape factors of bodies such as for Fluid Forces.
Volumes are amounts of space occupied by threedimensional bodies, such as blocks, prisms and spheres, the properties of which can be predicted using wellknown formulas.
Calculator
Volumes calculates the surface and projected areas, volumes and principal dimensions of regular 3D 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 rightregularprism 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 selfchecking facility, see Technical Help
Areas and Volumes Calculator  Options
PYRAMIDPRISM
The properties of a 3dimensional object with a crosssection 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: 


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

CONECYLINDER
The properties of a 3dimensional object with a circular crosssection. 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: 


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: 


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: 


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: 


Volume

Profile area (side and base)

Surface area

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