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

✖Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge of the Skewed Three Edged Prism.ⓘ Medium Height of Skewed Three Edged Prism [h_Medium]			+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 given Longer Top and Base Edge [h_Short]

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Formula

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Short Height of Skewed Three Edged Prism given Longer Top and Base Edge

Formula

`"h"_{"Short"} = "h"_{"Medium"}-(sqrt(("l"_{"e(Long Top)"}^2)-("l"_{"e(Long Base)"}^2)))`

Example

`"1.596876m"="8m"-(sqrt((("21m")^2)-(("20m")^2)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Medium Height of Skewed Three Edged Prism: 8 Meter --> 8 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Short = h_Medium-(sqrt((l_{e(Long Top)}^2)-(l_{e(Long Base)}^2))) --> 8-(sqrt((21^2)-(20^2)))

Evaluating ... ...

h_Short = 1.59687576256715

STEP 3: Convert Result to Output's Unit

1.59687576256715 Meter --> No Conversion Required

FINAL ANSWER

1.59687576256715 ≈ 1.596876 Meter <-- Short Height of Skewed Three Edged Prism

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 6 Short Height of Skewed Three Edged Prism Calculators

Short Height of Skewed Three Edged Prism given Surface to Volume Ratio

Go Short Height of Skewed Three Edged Prism = (Total Surface Area of Skewed Three Edged Prism/((Even Base Area of Skewed Three Edged Prism/3)*SA:V of Skewed Three Edged Prism))-Long Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism

Short Height of Skewed Three Edged Prism given Volume

Go Short Height of Skewed Three Edged Prism = (3*Volume of Skewed Three Edged Prism/Even Base Area of Skewed Three Edged Prism)-Long Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism

Short Height of Skewed Three Edged Prism given Longer Top and Base Edge

Go Short Height of Skewed Three Edged Prism = Medium Height of Skewed Three Edged Prism-(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 given Medium Top and Base Edge

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

Short Height of Skewed Three Edged Prism given Long Edged Trapezoidal Area

Go Short Height of Skewed Three Edged Prism = (2*LE Trapezoidal Area of Skewed Three Edged Prism/Longer Base Edge of Skewed Three Edged Prism)-Medium Height of Skewed Three Edged Prism

Short Height of Skewed Three Edged Prism given Medium Edged Trapezoidal Area

Go Short Height of Skewed Three Edged Prism = (2*ME Trapezoidal Area of Skewed Three Edged Prism/Medium Base Edge of Skewed Three Edged Prism)-Long Height of Skewed Three Edged Prism

Short Height of Skewed Three Edged Prism given Longer Top and Base Edge Formula

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

Short Height of Skewed Three Edged Prism given Longer Top and Base Edge calculator uses Short Height of Skewed Three Edged Prism = Medium Height of Skewed Three Edged Prism-(sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-(Longer Base Edge of Skewed Three Edged Prism^2))) to calculate the Short Height of Skewed Three Edged Prism, Short Height of Skewed Three Edged Prism given Longer Top and Base Edge formula is defined as the length of the shortest lateral edge or the minimum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism, calculated using its longer top and base edge. Short Height of Skewed Three Edged Prism is denoted by h_Short symbol.

How to calculate Short Height of Skewed Three Edged Prism given Longer Top and Base Edge using this online calculator? To use this online calculator for Short Height of Skewed Three Edged Prism given Longer Top and Base Edge, enter Medium Height of Skewed Three Edged Prism (h_Medium), Longer Top Edge of Skewed Three Edged Prism (l_{e(Long Top)}) & Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}) and hit the calculate button. Here is how the Short Height of Skewed Three Edged Prism given Longer Top and Base Edge calculation can be explained with given input values -> 1.596876 = 8-(sqrt((21^2)-(20^2))).

FAQ

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

Short Height of Skewed Three Edged Prism given Longer Top and Base Edge formula is defined as the length of the shortest lateral edge or the minimum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism, calculated using its longer top and base edge and is represented as h_Short = h_Medium-(sqrt((l_{e(Long Top)}^2)-(l_{e(Long Base)}^2))) or Short Height of Skewed Three Edged Prism = Medium Height of Skewed Three Edged Prism-(sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-(Longer Base Edge of Skewed Three Edged Prism^2))). Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge 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.

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

Short Height of Skewed Three Edged Prism given Longer Top and Base Edge formula is defined as the length of the shortest lateral edge or the minimum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism, calculated using its longer top and base edge is calculated using Short Height of Skewed Three Edged Prism = Medium Height of Skewed Three Edged Prism-(sqrt((Longer Top Edge of Skewed Three Edged Prism^2)-(Longer Base Edge of Skewed Three Edged Prism^2))). To calculate Short Height of Skewed Three Edged Prism given Longer Top and Base Edge, you need Medium Height of Skewed Three Edged Prism (h_Medium), Longer Top Edge of Skewed Three Edged Prism (l_{e(Long Top)}) & Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}). With our tool, you need to enter the respective value for Medium Height of Skewed Three Edged Prism, Longer Top Edge of Skewed Three Edged Prism & Longer 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 Short Height of Skewed Three Edged Prism?

In this formula, Short Height of Skewed Three Edged Prism uses Medium Height of Skewed Three Edged Prism, Longer Top Edge of Skewed Three Edged Prism & Longer Base Edge of Skewed Three Edged Prism. We can use 5 other way(s) to calculate the same, which is/are as follows -

Short Height of Skewed Three Edged Prism = Long Height of Skewed Three Edged Prism-(sqrt((Medium Top Edge of Skewed Three Edged Prism^2)-(Medium Base Edge of Skewed Three Edged Prism^2)))
Short Height of Skewed Three Edged Prism = (2*LE Trapezoidal Area of Skewed Three Edged Prism/Longer Base Edge of Skewed Three Edged Prism)-Medium Height of Skewed Three Edged Prism
Short Height of Skewed Three Edged Prism = (2*ME Trapezoidal Area of Skewed Three Edged Prism/Medium Base Edge of Skewed Three Edged Prism)-Long Height of Skewed Three Edged Prism
Short Height of Skewed Three Edged Prism = (3*Volume of Skewed Three Edged Prism/Even Base Area of Skewed Three Edged Prism)-Long Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism
Short Height of Skewed Three Edged Prism = (Total Surface Area of Skewed Three Edged Prism/((Even Base Area of Skewed Three Edged Prism/3)*SA:V of Skewed Three Edged Prism))-Long Height of Skewed Three Edged Prism-Medium Height of Skewed Three Edged Prism

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