Truncated Rectangular Pyramid Volume and Area
The Truncated Rectangular Pyramid Calculator is a tool designed to compute the geometric properties of a truncated rectangular pyramid. This calculator supports metric and imperial units, including metres, centimetres, millimetres, feet, and inches.
It provides precise results for the following: Volume: The total capacity of the pyramid in cubic units. Base Area: The area of the lower rectangular base in square units. Lateral Area: The combined area of the slanted sides in square units. Surface Area: The total surface area, including both bases and the lateral sides. Surface-to-Volume Ratio: A ratio showing the relationship between surface area and volume.
Truncated Rectangular Pyramid Volume
Calculation
- select your 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
- the truncated pyramid volume
- the base area of the pyramid (bottom and top)
- the lateral areas
- the total surface area
- surface area to volume ratio
Formula
V = H/6(Lw+Wl+2(lw+LW) B = LW+lw LA = 2((L+l)/2e+(W+w)/2f)) e = (W-w)^2;+H^2; f = (L-l)^2;+H^2; SA = LA+BA D =√L^2;+W^2; HL = √(D/2)^2;+H^2; a = sin-1(H/(D/2)) s/v = SA/V where V is the volume of the pyramid L the length of the base W the width of the base H the height of the pyramid BA the area of the base LA the lateral suface area SA the surface area of the pyramid D the base diagonal length HL the length of the hip (outside edge) a the angle of the hip s/v is the surface area to volume ratio
This calculator is ideal for construction planning, engineering, and education, ensuring accurate measurements for truncated rectangular pyramids.