Shapes and Sizes



How To Use Shapes and Sizes

The Main Page has two buttons which will allow you to choose a between 2D and 3D shapes.


2D and 3D Shapes

Pressing the relevant button will give you access to the section of the app where you can choose from the list of shapes within that section. After you have clicked the shape that you wish to perform calculations for you will be taken to a page where you can enter the required dimension (s). The text below outlines both the possible inputs, and either the required inputs, or in some cases the possible input combinations. As it relates to an Ellipse, and Trapezoid, the value given for the Ellipse perimeter result is as noted on the result page, a very close estimate, this is due to the calculations requires to give a more exact result, as for a Trapezoid, if only Side a,b, and Height are input only a partial result will be displayed. When calculating a triangular prism if the dimensions render a second valid triangular base, two results will be provided and displayed.

It should be noted that all inputs must be of the same unit type, e.g. meters, feet, inches, millimeters, and the results will be displayed in the same unit type. Also where degrees are required for calculation the input is in degrees and not radians, the results will also be in degrees.



Inputs



3D


Cone Oblique

Possible inputs
  • Radius
  • Height

Required inputs
  • Radius and Height

Cone Right

Possible inputs
  • Radius
  • Height
  • Volume
  • Slant Height
  • Base Surface Area
  • Lateral Surface Area
  • Total Surface Area

Possible input combinations
  • Radius and Height
  • Radius and Slant Height
  • Radius and Volume
  • Radius and Lateral Surface Area
  • Radius and Base Area
  • Radius and Total Surface Area
  • Height and Slant Height
  • Height and Volume
  • Height and Lateral Surface Area
  • Height and Base Area
  • Height and Total Surface Area
  • Slant Height and Volume
  • Slant Height and Lateral Surface Area
  • Slant Height and Base Area
  • Slant Height and Total Surface Area
  • Volume and Lateral Surface Area
  • Volume and Base Area
  • Volume and Total Surface Area
  • Lateral Surface Area and Base Area
  • Lateral Surface Area and Total Surface Area
  • Base Area and Total Surface Area

Cube

Possible inputs
  • Edge Length

Required inputs
  • Edge Length

Cylinder

Possible inputs
  • Radius
  • Height

Required inputs
  • Radius and Height

Dodecahedron

Possible inputs
  • Edge Length

Required inputs
  • Edge Length

Octahedron

Possible inputs
  • Edge Length

Required inputs
  • Edge Length

Prism

Triangular Base

Possible inputs
  • Side a
  • Side b
  • Side c
  • Height
  • Volume

Possible input combinations
  • Side a, b, Height and Volume
  • Side a, c, Height and Volume
  • Side b, c, Height and Volume
  • Side a, b, c, and Volume
  • Side a, b, c and Height

Square Base

Possible inputs
  • Base Edge
  • Height

Required inputs
  • Base Edge and Height

Rectangular Base

Possible inputs
  • Height
  • Width
  • Length

Required inputs
  • Height, Width and Length

Pentagonal Base

Possible inputs
  • Base Edge
  • Height

Required inputs
  • Base Edge and Height

Hexagonal Base

Possible inputs
  • Base Edge
  • Height
  • Volume

Possible input combinations
  • Base Edge and Height
  • Volume and Height
  • Base Edge and Volume

Right Pyramid

Square Base

Possible inputs
  • Height
  • Base Edge Length

Required inputs
  • Height and Base Edge Length

Rectangular Base

Possible inputs
  • Base Length
  • Base Width
  • Height
  • Volume

Possible input combinations
  • Length, Height and Width
  • Length, Height and Volume
  • Width, Volume and Height

Pentagonal Base

Possible inputs
  • Base Edge
  • Height
  • Volume

Possible input combinations
  • Base Edge and Height
  • Volume and Height
  • Base Edge and Volume

Hexagonal Base

Possible inputs
  • Base Edge
  • Height
  • Volume

Possible input combinations
  • Base Edge and Height
  • Volume and Height
  • Base Edge and Volume

Sphere

Possible inputs
  • Radius

Required inputs
  • Radius

Tetrahedron

Possible inputs
  • Edge Length

Required inputs
  • Edge Length

Torus

Possible inputs
  • Large Radius
  • Small Radius

Required inputs
  • Large Radius and Small Radius

2D


Annulus

Possible inputs
  • Radius R
  • Radius r

Required inputs
  • Radius R and Radius r

Arc Length

Possible inputs
  • Angle @ O
  • Radius r

Required inputs
  • Angle @ O and Radius r

Ellipse

Possible inputs
  • Semi-major axis
  • Semi-minor axis

Required inputs
  • Semi-major axis and Semi-minor axis

Parallelogram

Possible inputs
  • Side b
  • Height h

Required inputs
  • Side b and Height h

Rectangle

Possible inputs
  • Side w
  • Side l

Required inputs
  • Side w and Side l

Sector

Possible inputs
  • Angle @ O
  • Radius r

Required inputs
  • Angle @ O and Radius r

Segment

Possible inputs
  • Radius r
  • Angle @ O

Required inputs
  • Radius r and Angle @ O

Square

Possible inputs
  • Side a

Required inputs
  • Side a

Trapezoid

Possible inputs
  • Base a
  • Base b
  • Side c
  • Side d
  • Height h

Possible input combinations
  • Side a, b, c, d, and Height
  • Side a,b, and Height (Partial Result)

Triangle


Right Triangle

Possible inputs
  • Angle @ A
  • Angle @ B
  • Side a
  • Side b
  • Side c

Possible input combinations
  • Angle A, Side a
  • Angle A, Side b
  • Angle A, Side c
  • Angle B, Side a
  • Angle B, Side b
  • Angle B, Side c
  • Side a, Side b
  • Side a, Side c
  • Side b, Side c

All Other Triangles


Side, Angle, Side

Possible inputs
  • Angle @ A
  • Angle @ B
  • Angle @ C
  • Side a
  • Side b
  • Side c

Possible input combinations
  • Side a, Angle C, Side b
  • Side b, Angle A, Side c
  • Side c, Angle B, Side a

Side, Side, Angle

Possible inputs
  • Angle @ A
  • Angle @ B
  • Angle @ C
  • Side a
  • Side b
  • Side c

Possible input combinations
  • Side a, Side b, Angle B
  • Side b, Side c, Angle C
  • Side c, Side a, Angle A

Angle, Side, Angle

Possible inputs
  • Angle @ A
  • Angle @ B
  • Angle @ C
  • Side a
  • Side b
  • Side c

Possible input combinations
  • Angle A, Side c, Angle B
  • Angle B, Side a, Angle C
  • Angle C, Side b, Angle A

Angle, Angle, Side

Possible inputs
  • Angle @ A
  • Angle @ B
  • Angle @ C
  • Side a
  • Side b
  • Side c

Possible input combinations
  • Angle A, Angle B, Side a
  • Angle B, Angle C, Side b
  • Angle C, Angle A, Side c