Angles and Lengths Truncated Rectangle Pyramid
The Truncated Rectangular Pyramid Length and Angle Calculator compute geometric properties for truncated rectangular pyramids, supporting metric (metres, centimetres, millimetres) and imperial (feet, inches) units.
This tool provides precise calculations for:
Lower Base Diagonal: The diagonal distance of the bottom rectangle.
Upper Base Diagonal: The diagonal distance of the top rectangle.
Slant Heights: The lengths of the slanted edges connecting the bases on two sides.
Hip Length: The length of the edge connecting the center points of the diagonals of the upper and lower bases.
Angles: Angles formed between the slant heights, hip length, and pyramid height.
Truncated Rectangular Pyramid Angles and Lengths Calculator
Calculator
- select a unit
- the length of the upper base (l)
- the width of the upper base (w)
- the length of the lower base (L)
- the width of the lower base (W)
- the height of the truncated pyramid\decimal precision, the number of digits after the decimal point
Results
- lower base diagonal length
- upper base diagonal length
- the length of the hip (outer edge)
- the height of slant a
- the height of slant b
- angle a degrees
- angle b degrees
- angle c degrees
Formula
D L = √L²+W² DT =√l²+w² HL = √(D/2)²+H² slA = √c1²+H² slB = √c2²+H² a = sin-1(H/(D/2)) b = tan-1(H/c1) c = tan-1(H/c2) where DL is the lower base diagonal length DT the upper base diagonal length HL the length of the hip (outside edge) sLA the height of slant a sLB the height of slant b a the angle of the hip b the angle of slant a c the angle of slant b L lower base length W lower base width l upper base length w lower base width D/2 is the bottom length of the right-angled triangle with height H and hip as the hypotenuse c1 the bottom length of the right-angled triangle with height H and the slant a height as hypotenuse c1 the bottom length of the right-angled triangle with height H and the slant b height as hypotenuse
This calculator is a practical tool for engineers, architects, and students to determine the precise geometry of truncated rectangular pyramids.