Angles and Length 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.

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

Volume and Surface Area 3D Shapes Calculators

• Box
• Cone
• Cylinder
• Ellipsoid
• Pyramid
• Semi-Ellipsoid
• Sphere
• Sphere Cap
• Truncated Cone
• Truncated Rectangle Pyramid
• Truncated Rectangle Pyramid Angles and Lengths
• Truncated Rectangle Pyramid Area