Spike's Calculators

# Angles and Lengths Truncated Rectangle Pyramid

Calculate the angles and lengths of a truncated rectangular pyramid.

This calculator works for any measurement unit. For example, if you calculate inches, inches will have to be used in all the length fields, and the result of the areas will be square inches; the volume results in cubic inches and length measurements in the starting unit, inches.

### Truncated Rectangular Pyramid Angles and Lengths

Upper Base Length #
Upper Base Width #
Lower Base Length #
Lower Base Width #
Height #
Decimal Precision #

#### Results:

 Lower Base Diagonal # Upper Base Diagonal # Hip Length # Slant a Height # Slant b Height # Angle a ° Angle b ° Angle c °

#### Calculation

1. the length of the upper base (l)
2. the width of the upper base (w)
3. the length of the lower base (L)
4. the width of the lower base (W)
5. the height of the truncated pyramid

#### Results

1. lower base diagonal length (unit)
2. upper base diagonal length (unit)
3. the length of the hip (outer edge) (unit)
4. the height of slant a (unit)
5. the height of slant b (unit)
6. angle a (degrees)
7. angle b (degrees)
8. 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
```