Height of Elongated Triangular Pyramid given Volume Calculator

✖Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.ⓘ Volume of Elongated Triangular Pyramid [V]

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✖Height of Elongated Triangular Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid.ⓘ Height of Elongated Triangular Pyramid given Volume [h]

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Height of Elongated Triangular Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)
h = (sqrt(6)/3+1)*((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3)
This formula uses 1 Functions, 2 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

Height of Elongated Triangular Pyramid - (Measured in Meter) - Height of Elongated Triangular Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid.
Volume of Elongated Triangular Pyramid - (Measured in Cubic Meter) - Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Triangular Pyramid: 550 Cubic Meter --> 550 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt(6)/3+1)*((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3) --> (sqrt(6)/3+1)*((12*550)/(sqrt(2)+(3*sqrt(3))))^(1/3)

Evaluating ... ...

h = 18.155465766636

STEP 3: Convert Result to Output's Unit

18.155465766636 Meter --> No Conversion Required

FINAL ANSWER

18.155465766636 ≈ 18.15547 Meter <-- Height of Elongated Triangular Pyramid

(Calculation completed in 00.004 seconds)

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< Height of Elongated Triangular Pyramid Calculators

Height of Elongated Triangular Pyramid given Surface to Volume Ratio

LaTeX Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid)

Height of Elongated Triangular Pyramid given Volume

LaTeX Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)

Height of Elongated Triangular Pyramid given Total Surface Area

LaTeX Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))

Height of Elongated Triangular Pyramid

LaTeX Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*Edge Length of Elongated Triangular Pyramid

Height of Elongated Triangular Pyramid given Volume Formula

LaTeX Go

Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)
h = (sqrt(6)/3+1)*((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3)

What is an Elongated Triangular Pyramid?

The Elongated Triangular Pyramid is a regular tetrahedron with a matching right prism attached to one face, which is the Johnson solid generally denoted by J7. It consists of 7 faces which include 3 equilateral triangles as pyramid faces, 3 squares as side surfaces, and another equilateral triangle as the base surface. Also, It has 12 edges and 7 vertices.

How to Calculate Height of Elongated Triangular Pyramid given Volume?

Height of Elongated Triangular Pyramid given Volume calculator uses Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3) to calculate the Height of Elongated Triangular Pyramid, The Height of Elongated Triangular Pyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid and is calculated using the volume of the Elongated Triangular Pyramid. Height of Elongated Triangular Pyramid is denoted by h symbol.

How to calculate Height of Elongated Triangular Pyramid given Volume using this online calculator? To use this online calculator for Height of Elongated Triangular Pyramid given Volume, enter Volume of Elongated Triangular Pyramid (V) and hit the calculate button. Here is how the Height of Elongated Triangular Pyramid given Volume calculation can be explained with given input values -> 18.15547 = (sqrt(6)/3+1)*((12*550)/(sqrt(2)+(3*sqrt(3))))^(1/3).

FAQ

What is Height of Elongated Triangular Pyramid given Volume?

The Height of Elongated Triangular Pyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid and is calculated using the volume of the Elongated Triangular Pyramid and is represented as h = (sqrt(6)/3+1)*((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3) or Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3). Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.

How to calculate Height of Elongated Triangular Pyramid given Volume?

The Height of Elongated Triangular Pyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid and is calculated using the volume of the Elongated Triangular Pyramid is calculated using Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3). To calculate Height of Elongated Triangular Pyramid given Volume, you need Volume of Elongated Triangular Pyramid (V). With our tool, you need to enter the respective value for Volume of Elongated Triangular Pyramid 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 Height of Elongated Triangular Pyramid?

In this formula, Height of Elongated Triangular Pyramid uses Volume of Elongated Triangular Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*Edge Length of Elongated Triangular Pyramid
Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))
Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid)

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