Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge Calculator

✖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 Base Edge of Skewed Three Edged Prism [l_{e(Long Base)}]			+10% -10%
✖Long Height of Skewed Three Edged Prism is the length of the longest lateral edge or the maximum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism.ⓘ Long Height of Skewed Three Edged Prism [h_Long]			+10% -10%
✖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.ⓘ Short Height of Skewed Three Edged Prism [h_Short]			+10% -10%
✖Shorter Top Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the top of the Skewed Three Edged Prism.ⓘ Shorter Top Edge of Skewed Three Edged Prism [l_{e(Short Top)}]			+10% -10%
✖Shorter Base Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the bottom of the Skewed Three Edged Prism.ⓘ Shorter Base Edge of Skewed Three Edged Prism [l_{e(Short Base)}]			+10% -10%

✖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.ⓘ Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge [l_{e(Long Top)}]

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Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
l_{e(Long Top)} = sqrt(l_{e(Long Base)}^2+(h_Long-h_Short-sqrt(l_{e(Short Top)}^2-l_{e(Short Base)}^2))^2)
This formula uses 1 Functions, 6 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 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.
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.
Long Height of Skewed Three Edged Prism - (Measured in Meter) - Long Height of Skewed Three Edged Prism is the length of the longest lateral edge or the maximum vertical distance between top and bottom triangular faces 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.
Shorter Top Edge of Skewed Three Edged Prism - (Measured in Meter) - Shorter Top Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the top of the Skewed Three Edged Prism.
Shorter Base Edge of Skewed Three Edged Prism - (Measured in Meter) - Shorter Base Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the bottom of the Skewed Three Edged Prism.

STEP 1: Convert Input(s) to Base Unit

Longer Base Edge of Skewed Three Edged Prism: 20 Meter --> 20 Meter No Conversion Required
Long Height of Skewed Three Edged Prism: 12 Meter --> 12 Meter No Conversion Required
Short Height of Skewed Three Edged Prism: 6 Meter --> 6 Meter No Conversion Required
Shorter Top Edge of Skewed Three Edged Prism: 11 Meter --> 11 Meter No Conversion Required
Shorter Base Edge of Skewed Three Edged Prism: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Long Top)} = sqrt(l_{e(Long Base)}^2+(h_Long-h_Short-sqrt(l_{e(Short Top)}^2-l_{e(Short Base)}^2))^2) --> sqrt(20^2+(12-6-sqrt(11^2-10^2))^2)

Evaluating ... ...

l_{e(Long Top)} = 20.050164379888

STEP 3: Convert Result to Output's Unit

20.050164379888 Meter --> No Conversion Required

FINAL ANSWER

20.050164379888 ≈ 20.05016 Meter <-- Longer Top Edge of Skewed Three Edged Prism

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Skewed Three Edged Prism » Edges of Skewed Three Edged Prism » Longer Edge of Skewed Three Edged Prism » Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge

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< Longer Edge of Skewed Three Edged Prism Calculators

Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge Formula

LaTeX Go

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 Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge?

Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge calculator uses 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) to calculate the Longer Top Edge of Skewed Three Edged Prism, Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge formula is defined as the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism, calculated using its shorter top and base edge. Longer Top Edge of Skewed Three Edged Prism is denoted by l_{e(Long Top)} symbol.

How to calculate Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge using this online calculator? To use this online calculator for Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge, enter Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Long Height of Skewed Three Edged Prism (h_Long), Short Height of Skewed Three Edged Prism (h_Short), Shorter Top Edge of Skewed Three Edged Prism (l_{e(Short Top)}) & Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}) and hit the calculate button. Here is how the Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge calculation can be explained with given input values -> 20.05016 = sqrt(20^2+(12-6-sqrt(11^2-10^2))^2).

FAQ

What is Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge?

Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge formula is defined as the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism, calculated using its shorter top and base edge and is represented as l_{e(Long Top)} = sqrt(l_{e(Long Base)}^2+(h_Long-h_Short-sqrt(l_{e(Short Top)}^2-l_{e(Short Base)}^2))^2) or 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 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, Long Height of Skewed Three Edged Prism is the length of the longest lateral edge or the maximum vertical distance between top and bottom triangular faces 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, Shorter Top Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the top of the Skewed Three Edged Prism & Shorter Base Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the bottom of the Skewed Three Edged Prism.

How to calculate Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge?

Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge formula is defined as the length of the longest edge of the triangular face at the top of the Skewed Three Edged Prism, calculated using its shorter top and base edge is calculated using 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). To calculate Longer Top Edge of Skewed Three Edged Prism given Shorter Top and Base Edge, you need Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Long Height of Skewed Three Edged Prism (h_Long), Short Height of Skewed Three Edged Prism (h_Short), Shorter Top Edge of Skewed Three Edged Prism (l_{e(Short Top)}) & Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}). With our tool, you need to enter the respective value for Longer Base Edge of Skewed Three Edged Prism, Long Height of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism, Shorter Top Edge of Skewed Three Edged Prism & Shorter Base Edge 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 Top Edge of Skewed Three Edged Prism?

In this formula, Longer Top Edge of Skewed Three Edged Prism uses Longer Base Edge of Skewed Three Edged Prism, Long Height of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism, Shorter Top Edge of Skewed Three Edged Prism & Shorter Base Edge of Skewed Three Edged Prism. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 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 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

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