CALCULATOR
Right Isosceles Trapezoidal Prism Lateral Area Calculator
Right Isosceles Trapezoidal Prism Lateral Area. Example: Short base: 4 m, Half base gap: 1 m, Leg clearance: 2 m, Length: 5 m gives 80 m². Right prism, isosceles trapezoid ends; positive clearance assures nondegenerate section; excludes both end faces. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Right prism, isosceles trapezoid ends; positive clearance assures nondegenerate section; excludes both end faces. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Long base=short+2gap, each equal leg=gap+clearance; multiply cross-section perimeter by perpendicular prism length.
Accepted inputs: Short base: 0.001 to 10,000 m; Half base gap: 0.001 to 10,000 m; Leg clearance: 0.001 to 10,000 m; Length: 0.001 to 10,000 m.
How the calculation works
lateral area=L(2short base+4half gap+2clearance)
Worked example
With short base 4 m, half base gap 1 m, leg clearance 2 m, length 5 m, right isosceles trapezoidal prism lateral area is 80 m².
Assumptions and limits
Right prism, isosceles trapezoid ends; positive clearance assures nondegenerate section; excludes both end faces. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Long base=short+2gap, each equal leg=gap+clearance; multiply cross-section perimeter by perpendicular prism length.