Volume of Skewed Three Edged Prism given Base Perimeter Calculator

✖Even Base Perimeter of Skewed Three Edged Prism is the total length of all the boundary edges of the bottom triangular face of the Skewed Three Edged Prism.ⓘ Even Base Perimeter of Skewed Three Edged Prism [P_Base(Even)]			+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%
✖Medium Base Edge of Skewed Three Edged Prism is the length of the medium-sized edge of the triangular face at the bottom of the Skewed Three Edged Prism.ⓘ Medium Base Edge of Skewed Three Edged Prism [l_{e(Medium Base)}]			+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%
✖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%
✖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%
✖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%

✖Volume of Skewed Three Edged Prism is the total quantity of three-dimensional space enclosed by the surface of the Skewed Three Edged Prism.ⓘ Volume of Skewed Three Edged Prism given Base Perimeter [V]

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Formula

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Volume of Skewed Three Edged Prism given Base Perimeter

Formula

`"V" = (sqrt(("P"_{"Base(Even)"}/2)*(("P"_{"Base(Even)"}/2)-"l"_{"e(Long Base)"})*(("P"_{"Base(Even)"}/2)-"l"_{"e(Medium Base)"})*(("P"_{"Base(Even)"}/2)-"l"_{"e(Short Base)"})))*(("h"_{"Long"}+"h"_{"Medium"}+"h"_{"Short"})/3)`

Example

`"629.3598m³"=(sqrt(("45m"/2)*(("45m"/2)-"20m")*(("45m"/2)-"15m")*(("45m"/2)-"10m")))*(("12m"+"8m"+"6m")/3)`

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Volume of Skewed Three Edged Prism given Base Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Skewed Three Edged Prism = (sqrt((Even Base Perimeter of Skewed Three Edged Prism/2)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Longer Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Medium Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Shorter Base Edge 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)/3)
V = (sqrt((P_Base(Even)/2)*((P_Base(Even)/2)-l_{e(Long Base)})*((P_Base(Even)/2)-l_{e(Medium Base)})*((P_Base(Even)/2)-l_{e(Short Base)})))*((h_Long+h_Medium+h_Short)/3)
This formula uses 1 Functions, 8 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

Volume of Skewed Three Edged Prism - (Measured in Cubic Meter) - Volume of Skewed Three Edged Prism is the total quantity of three-dimensional space enclosed by the surface of the Skewed Three Edged Prism.
Even Base Perimeter of Skewed Three Edged Prism - (Measured in Meter) - Even Base Perimeter of Skewed Three Edged Prism is the total length of all the boundary edges of the bottom triangular face 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.
Medium Base Edge of Skewed Three Edged Prism - (Measured in Meter) - Medium Base Edge of Skewed Three Edged Prism is the length of the medium-sized edge of the triangular face at the bottom 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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Even Base Perimeter of Skewed Three Edged Prism: 45 Meter --> 45 Meter No Conversion Required
Longer Base Edge of Skewed Three Edged Prism: 20 Meter --> 20 Meter No Conversion Required
Medium Base Edge of Skewed Three Edged Prism: 15 Meter --> 15 Meter No Conversion Required
Shorter Base Edge of Skewed Three Edged Prism: 10 Meter --> 10 Meter No Conversion Required
Long Height of Skewed Three Edged Prism: 12 Meter --> 12 Meter No Conversion Required
Medium Height of Skewed Three Edged Prism: 8 Meter --> 8 Meter No Conversion Required
Short Height of Skewed Three Edged Prism: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sqrt((P_Base(Even)/2)*((P_Base(Even)/2)-l_{e(Long Base)})*((P_Base(Even)/2)-l_{e(Medium Base)})*((P_Base(Even)/2)-l_{e(Short Base)})))*((h_Long+h_Medium+h_Short)/3) --> (sqrt((45/2)*((45/2)-20)*((45/2)-15)*((45/2)-10)))*((12+8+6)/3)

Evaluating ... ...

V = 629.359793758705

STEP 3: Convert Result to Output's Unit

629.359793758705 Cubic Meter --> No Conversion Required

FINAL ANSWER

629.359793758705 ≈ 629.3598 Cubic Meter <-- Volume of Skewed Three Edged Prism

(Calculation completed in 00.004 seconds)

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< 3 Volume of Skewed Three Edged Prism Calculators

Volume of Skewed Three Edged Prism given Base Perimeter

Go Volume of Skewed Three Edged Prism = (sqrt((Even Base Perimeter of Skewed Three Edged Prism/2)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Longer Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Medium Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Shorter Base Edge 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)/3)

Volume of Skewed Three Edged Prism given Surface to Volume Ratio

Go Volume of Skewed Three Edged Prism = (Even Base Area of Skewed Three Edged Prism+Skewed Top Area of Skewed Three Edged Prism+LE Trapezoidal Area of Skewed Three Edged Prism+ME Trapezoidal Area of Skewed Three Edged Prism+SE Trapezoidal Area of Skewed Three Edged Prism)/SA:V of Skewed Three Edged Prism

Volume of Skewed Three Edged Prism

Go 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))/3

Volume of Skewed Three Edged Prism given Base Perimeter 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 Volume of Skewed Three Edged Prism given Base Perimeter?

Volume of Skewed Three Edged Prism given Base Perimeter calculator uses Volume of Skewed Three Edged Prism = (sqrt((Even Base Perimeter of Skewed Three Edged Prism/2)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Longer Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Medium Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Shorter Base Edge 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)/3) to calculate the Volume of Skewed Three Edged Prism, Volume of Skewed Three Edged Prism given Base Perimeter formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Skewed Three Edged Prism, calculated using its base perimeter. Volume of Skewed Three Edged Prism is denoted by V symbol.

How to calculate Volume of Skewed Three Edged Prism given Base Perimeter using this online calculator? To use this online calculator for Volume of Skewed Three Edged Prism given Base Perimeter, enter Even Base Perimeter of Skewed Three Edged Prism (P_Base(Even)), Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Medium Base Edge of Skewed Three Edged Prism (l_{e(Medium Base)}), Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}), Long Height of Skewed Three Edged Prism (h_Long), Medium Height of Skewed Three Edged Prism (h_Medium) & Short Height of Skewed Three Edged Prism (h_Short) and hit the calculate button. Here is how the Volume of Skewed Three Edged Prism given Base Perimeter calculation can be explained with given input values -> 629.3598 = (sqrt((45/2)*((45/2)-20)*((45/2)-15)*((45/2)-10)))*((12+8+6)/3).

FAQ

What is Volume of Skewed Three Edged Prism given Base Perimeter?

Volume of Skewed Three Edged Prism given Base Perimeter formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Skewed Three Edged Prism, calculated using its base perimeter and is represented as V = (sqrt((P_Base(Even)/2)*((P_Base(Even)/2)-l_{e(Long Base)})*((P_Base(Even)/2)-l_{e(Medium Base)})*((P_Base(Even)/2)-l_{e(Short Base)})))*((h_Long+h_Medium+h_Short)/3) or Volume of Skewed Three Edged Prism = (sqrt((Even Base Perimeter of Skewed Three Edged Prism/2)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Longer Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Medium Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Shorter Base Edge 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)/3). Even Base Perimeter of Skewed Three Edged Prism is the total length of all the boundary edges of the bottom triangular face 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, Medium Base Edge of Skewed Three Edged Prism is the length of the medium-sized edge of the triangular face at the bottom 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, 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, Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge 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.

How to calculate Volume of Skewed Three Edged Prism given Base Perimeter?

Volume of Skewed Three Edged Prism given Base Perimeter formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Skewed Three Edged Prism, calculated using its base perimeter is calculated using Volume of Skewed Three Edged Prism = (sqrt((Even Base Perimeter of Skewed Three Edged Prism/2)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Longer Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Medium Base Edge of Skewed Three Edged Prism)*((Even Base Perimeter of Skewed Three Edged Prism/2)-Shorter Base Edge 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)/3). To calculate Volume of Skewed Three Edged Prism given Base Perimeter, you need Even Base Perimeter of Skewed Three Edged Prism (P_Base(Even)), Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}), Medium Base Edge of Skewed Three Edged Prism (l_{e(Medium Base)}), Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}), Long Height of Skewed Three Edged Prism (h_Long), Medium Height of Skewed Three Edged Prism (h_Medium) & Short Height of Skewed Three Edged Prism (h_Short). With our tool, you need to enter the respective value for 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 Base Edge 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 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 Volume of Skewed Three Edged Prism?

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

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))/3
Volume of Skewed Three Edged Prism = (Even Base Area of Skewed Three Edged Prism+Skewed Top Area of Skewed Three Edged Prism+LE Trapezoidal Area of Skewed Three Edged Prism+ME Trapezoidal Area of Skewed Three Edged Prism+SE Trapezoidal Area of Skewed Three Edged Prism)/SA:V of Skewed Three Edged Prism

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