The Trapezoid Pyramid Specifications calculator computes the metrics associated with of trapezoid pyramid based on the dimensions:
INSTRUCTIONS: Choose units and enter the following:
(a) Width of Top
(b) Length of Top
(A) Width of Bottom
(B) Length of Bottom
(h) Height between Top and Bottom
(S) Specification (see below)
Trapezoid Pyramid Specifications (TPS): The calculator returns:
(V) volume in cubic meters.
(TSA) Surface area in square meters. This includes the four sloped faces and the top.
(SAA) Surface area of Face A (one side) in square meters.
(SAB) Surface area of Face B (one side) in square meters.
(axb) Top area in square meters.
(AxB) Base area in square meters.
(α) Angle of Face A corners
(β) Angle of Face B corners
(θ) Pitch
(j) Edge Length in meters
(k) Face A Length in meters
(i) Face B Length in meters
(x) Face A horizontal length in meters
(y) Face B horizontal length in meters
(z) Corner diagonal length in meters
(ALL) Returns all the above
Note: answers can be automatically converted to compatible units via the pull-down menu.
The Math / Science
A rectangular trapezoid volume has regular trapezoids on all four sides with the two sets of identical trapezoids on opposite sides. The bottom and top rectangles are centered, form parallel planes and separated by the height.
A Trapezoidal Volume or Trapezoid Pyramid is a 3D geometric shape with four trapezoid faces and a rectangular base and top. It is a commonly seen shape in many applications in construction and manufacturing. Examples include prisms, troughs, containers and pyramids.
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