# Areas and Volumes Calculator v1

Price: £12.71 (£12.71 Inc. VAT)

## 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

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