Longer Base Edge of Skewed Three Edged Prism Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longer Base Edge of Skewed Three Edged Prism = sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2))
le(Long Base) = sqrt((le(Long Top)^2)-((hShort-hMedium)^2))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Longer Base Edge of Skewed Three Edged Prism - (Measured in Meter) - Longer Base Edge of Skewed Three Edged Prism is the length of the longest edge of the triangular face at the bottom of the Skewed Three Edged Prism.
Longer Top Edge of Skewed Three Edged Prism - (Measured in Meter) - Longer Top Edge of Skewed Three Edged Prism is the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism.
Short Height of Skewed Three Edged Prism - (Measured in Meter) - Short Height of Skewed Three Edged Prism is the length of the shortest lateral edge or the minimum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism.
Medium Height of Skewed Three Edged Prism - (Measured in Meter) - Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge of the Skewed Three Edged Prism.
STEP 1: Convert Input(s) to Base Unit
Longer Top Edge of Skewed Three Edged Prism: 21 Meter --> 21 Meter No Conversion Required
Short Height of Skewed Three Edged Prism: 6 Meter --> 6 Meter No Conversion Required
Medium Height of Skewed Three Edged Prism: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Long Base) = sqrt((le(Long Top)^2)-((hShort-hMedium)^2)) --> sqrt((21^2)-((6-8)^2))
Evaluating ... ...
le(Long Base) = 20.9045449603669
STEP 3: Convert Result to Output's Unit
20.9045449603669 Meter --> No Conversion Required
FINAL ANSWER
20.9045449603669 20.90454 Meter <-- Longer Base Edge of Skewed Three Edged Prism
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Indian Institute of Information Technology (IIIT), Bhopal
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7 Longer Edge of Skewed Three Edged Prism Calculators

Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge
Go Longer Top Edge of Skewed Three Edged Prism = sqrt(Longer Base Edge of Skewed Three Edged Prism^2+(Long Height of Skewed Three Edged Prism-Short Height of Skewed Three Edged Prism-sqrt(Shorter Top Edge of Skewed Three Edged Prism^2-Shorter Base Edge of Skewed Three Edged Prism^2))^2)
Longer Top Edge of Skewed Three Edged Prism given Medium Top and Base Edge
Go Longer Top Edge of Skewed Three Edged Prism = sqrt(Longer Base Edge of Skewed Three Edged Prism^2+(sqrt(Medium Top Edge of Skewed Three Edged Prism^2-Medium Base Edge of Skewed Three Edged Prism^2)-Long Height of Skewed Three Edged Prism+Medium Height of Skewed Three Edged Prism)^2)
Longer Base Edge of Skewed Three Edged Prism
Go Longer Base Edge of Skewed Three Edged Prism = sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2))
Longer Top Edge of Skewed Three Edged Prism
Go Longer Top Edge of Skewed Three Edged Prism = sqrt((Longer Base Edge of Skewed Three Edged Prism^2)+((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2))
Longer Base Edge of Skewed Three Edged Prism given Base Perimeter
Go Longer Base Edge of Skewed Three Edged Prism = Even Base Perimeter of Skewed Three Edged Prism-Medium Base Edge of Skewed Three Edged Prism-Shorter Base Edge of Skewed Three Edged Prism
Longer Base Edge of Skewed Three Edged Prism given Long Edged Trapezoidal Area
Go Longer Base Edge of Skewed Three Edged Prism = (2*LE Trapezoidal Area of Skewed Three Edged Prism)/(Medium Height of Skewed Three Edged Prism+Short Height of Skewed Three Edged Prism)
Longer Top Edge of Skewed Three Edged Prism given Top Perimeter
Go Longer Top Edge of Skewed Three Edged Prism = Skewed Top Perimeter of Skewed Three Edged Prism-Shorter Top Edge of Skewed Three Edged Prism-Medium Top Edge of Skewed Three Edged Prism

Longer Base Edge of Skewed Three Edged Prism Formula

Longer Base Edge of Skewed Three Edged Prism = sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2))
le(Long Base) = sqrt((le(Long Top)^2)-((hShort-hMedium)^2))

What is Skewed Three Edged Prism?

A Skewed Three Edged Prism is a polygon whose vertices are not all coplanar. It consists of 5 faces, 9 edges, 6 vertices. The base and top faces of skewed three edged prism are 2 triangles and has 3 right trapezoidal side faces. Skew polygons must have at least four vertices. The interior surface of such a polygon is not uniquely defined. Skew infinite polygons have vertices which are not all colinear.

How to Calculate Longer Base Edge of Skewed Three Edged Prism?

Longer Base Edge of Skewed Three Edged Prism calculator uses Longer Base Edge of Skewed Three Edged Prism = sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2)) to calculate the Longer Base Edge of Skewed Three Edged Prism, Longer Base Edge of Skewed Three Edged Prism formula is defined as the length of the longest edge of the triangular face at the bottom of the Skewed Three Edged Prism. Longer Base Edge of Skewed Three Edged Prism is denoted by le(Long Base) symbol.

How to calculate Longer Base Edge of Skewed Three Edged Prism using this online calculator? To use this online calculator for Longer Base Edge of Skewed Three Edged Prism, enter Longer Top Edge of Skewed Three Edged Prism (le(Long Top)), Short Height of Skewed Three Edged Prism (hShort) & Medium Height of Skewed Three Edged Prism (hMedium) and hit the calculate button. Here is how the Longer Base Edge of Skewed Three Edged Prism calculation can be explained with given input values -> 20.90454 = sqrt((21^2)-((6-8)^2)).

FAQ

What is Longer Base Edge of Skewed Three Edged Prism?
Longer Base Edge of Skewed Three Edged Prism formula is defined as the length of the longest edge of the triangular face at the bottom of the Skewed Three Edged Prism and is represented as le(Long Base) = sqrt((le(Long Top)^2)-((hShort-hMedium)^2)) or Longer Base Edge of Skewed Three Edged Prism = sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2)). Longer Top Edge of Skewed Three Edged Prism is the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism is the length of the shortest lateral edge or the minimum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism & Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge of the Skewed Three Edged Prism.
How to calculate Longer Base Edge of Skewed Three Edged Prism?
Longer Base Edge of Skewed Three Edged Prism formula is defined as the length of the longest edge of the triangular face at the bottom of the Skewed Three Edged Prism is calculated using Longer Base Edge of Skewed Three Edged Prism = sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-((Short Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism)^2)). To calculate Longer Base Edge of Skewed Three Edged Prism, you need Longer Top Edge of Skewed Three Edged Prism (le(Long Top)), Short Height of Skewed Three Edged Prism (hShort) & Medium Height of Skewed Three Edged Prism (hMedium). With our tool, you need to enter the respective value for Longer Top Edge of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism & Medium Height of Skewed Three Edged Prism and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Longer Base Edge of Skewed Three Edged Prism?
In this formula, Longer Base Edge of Skewed Three Edged Prism uses Longer Top Edge of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism & Medium Height of Skewed Three Edged Prism. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Longer Base Edge of Skewed Three Edged Prism = Even Base Perimeter of Skewed Three Edged Prism-Medium Base Edge of Skewed Three Edged Prism-Shorter Base Edge of Skewed Three Edged Prism
  • Longer Base Edge of Skewed Three Edged Prism = (2*LE Trapezoidal Area of Skewed Three Edged Prism)/(Medium Height of Skewed Three Edged Prism+Short Height of Skewed Three Edged Prism)
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