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

✖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 [l_{e(Long Top)}]			+10% -10%
✖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%
✖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%
✖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%

✖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 given Longer Top and Base Edge [l_{e(Short Top)}]

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

STEP 0: Pre-Calculation Summary

Formula Used

Shorter Top Edge of Skewed Three Edged Prism = sqrt(Shorter Base Edge of Skewed Three Edged Prism^2+(sqrt(Longer Top Edge of Skewed Three Edged Prism^2-Longer Base Edge of Skewed Three Edged Prism^2)+Short Height of Skewed Three Edged Prism-Long Height of Skewed Three Edged Prism)^2)
l_{e(Short Top)} = sqrt(l_{e(Short Base)}^2+(sqrt(l_{e(Long Top)}^2-l_{e(Long Base)}^2)+h_Short-h_Long)^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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shorter Base Edge of Skewed Three Edged Prism: 10 Meter --> 10 Meter No Conversion Required
Longer Top Edge of Skewed Three Edged Prism: 21 Meter --> 21 Meter No Conversion Required
Longer Base Edge of Skewed Three Edged Prism: 20 Meter --> 20 Meter No Conversion Required
Short Height of Skewed Three Edged Prism: 6 Meter --> 6 Meter No Conversion Required
Long Height of Skewed Three Edged Prism: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Short Top)} = sqrt(l_{e(Short Base)}^2+(sqrt(l_{e(Long Top)}^2-l_{e(Long Base)}^2)+h_Short-h_Long)^2) --> sqrt(10^2+(sqrt(21^2-20^2)+6-12)^2)

Evaluating ... ...

l_{e(Short Top)} = 10.0081221590669

STEP 3: Convert Result to Output's Unit

10.0081221590669 Meter --> No Conversion Required

FINAL ANSWER

10.0081221590669 ≈ 10.00812 Meter <-- Shorter Top Edge of Skewed Three Edged Prism

(Calculation completed in 00.020 seconds)

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

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< Short Edge of Skewed Three Edged Prism Calculators

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

LaTeX Go Shorter Top Edge of Skewed Three Edged Prism = sqrt(Shorter Base Edge of Skewed Three Edged Prism^2+(sqrt(Longer Top Edge of Skewed Three Edged Prism^2-Longer Base Edge of Skewed Three Edged Prism^2)+Short Height of Skewed Three Edged Prism-Long Height of Skewed Three Edged Prism)^2)

Shorter Top Edge of Skewed Three Edged Prism

LaTeX Go Shorter Top Edge of Skewed Three Edged Prism = sqrt(Shorter Base Edge of Skewed Three Edged Prism^2+((Medium Height of Skewed Three Edged Prism-Long Height of Skewed Three Edged Prism)^2))

Shorter Base Edge of Skewed Three Edged Prism given Base Perimeter

LaTeX Go Shorter Base Edge of Skewed Three Edged Prism = Even Base Perimeter of Skewed Three Edged Prism-Longer Base Edge of Skewed Three Edged Prism-Medium Base Edge of Skewed Three Edged Prism

Shorter Top Edge of Skewed Three Edged Prism given Top Perimeter

LaTeX Go Shorter Top Edge of Skewed Three Edged Prism = Skewed Top Perimeter of Skewed Three Edged Prism-Longer Top Edge of Skewed Three Edged Prism-Medium Top Edge of Skewed Three Edged Prism

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

Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge calculator uses Shorter Top Edge of Skewed Three Edged Prism = sqrt(Shorter Base Edge of Skewed Three Edged Prism^2+(sqrt(Longer Top Edge of Skewed Three Edged Prism^2-Longer Base Edge of Skewed Three Edged Prism^2)+Short Height of Skewed Three Edged Prism-Long Height of Skewed Three Edged Prism)^2) to calculate the Shorter Top Edge of Skewed Three Edged Prism, Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge formula is defined as the length of the shortest edge of the triangular face at the top of the Skewed Three Edged Prism, calculated using its longer top and base edge. Shorter Top Edge of Skewed Three Edged Prism is denoted by l_{e(Short Top)} symbol.

How to calculate Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge using this online calculator? To use this online calculator for Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge, enter Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}), Longer Top Edge of Skewed Three Edged Prism (l_{e(Long Top)}), Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Short Height of Skewed Three Edged Prism (h_Short) & Long Height of Skewed Three Edged Prism (h_Long) and hit the calculate button. Here is how the Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge calculation can be explained with given input values -> 10.00812 = sqrt(10^2+(sqrt(21^2-20^2)+6-12)^2).

FAQ

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

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

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

Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge formula is defined as the length of the shortest edge of the triangular face at the top of the Skewed Three Edged Prism, calculated using its longer top and base edge is calculated using Shorter Top Edge of Skewed Three Edged Prism = sqrt(Shorter Base Edge of Skewed Three Edged Prism^2+(sqrt(Longer Top Edge of Skewed Three Edged Prism^2-Longer Base Edge of Skewed Three Edged Prism^2)+Short Height of Skewed Three Edged Prism-Long Height of Skewed Three Edged Prism)^2). To calculate Shorter Top Edge of Skewed Three Edged Prism given Longer Top and Base Edge, you need Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}), Longer Top Edge of Skewed Three Edged Prism (l_{e(Long Top)}), Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Short Height of Skewed Three Edged Prism (h_Short) & Long Height of Skewed Three Edged Prism (h_Long). With our tool, you need to enter the respective value for Shorter Base Edge of Skewed Three Edged Prism, Longer Top Edge of Skewed Three Edged Prism, Longer Base Edge of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism & Long 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 Shorter Top Edge of Skewed Three Edged Prism?

In this formula, Shorter Top Edge of Skewed Three Edged Prism uses Shorter Base Edge of Skewed Three Edged Prism, Longer Top Edge of Skewed Three Edged Prism, Longer Base Edge of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism & Long Height of Skewed Three Edged Prism. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shorter Top Edge of Skewed Three Edged Prism = sqrt(Shorter Base Edge of Skewed Three Edged Prism^2+((Medium Height of Skewed Three Edged Prism-Long Height of Skewed Three Edged Prism)^2))
Shorter Top Edge of Skewed Three Edged Prism = Skewed Top Perimeter of Skewed Three Edged Prism-Longer Top Edge of Skewed Three Edged Prism-Medium Top Edge of Skewed Three Edged Prism

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