Height of Elongated Square Pyramid given Total Surface Area Calculator

✖Total Surface Area of Elongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid.ⓘ Total Surface Area of Elongated Square Pyramid [TSA]

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✖Height of Elongated Square Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid.ⓘ Height of Elongated Square Pyramid given Total Surface Area [h]

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Height of Elongated Square Pyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Elongated Square Pyramid = (1/sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))
h = (1/sqrt(2)+1)*sqrt(TSA/(5+sqrt(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 Square Pyramid - (Measured in Meter) - Height of Elongated Square Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid.
Total Surface Area of Elongated Square Pyramid - (Measured in Square Meter) - Total Surface Area of Elongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Elongated Square Pyramid: 670 Square Meter --> 670 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (1/sqrt(2)+1)*sqrt(TSA/(5+sqrt(3))) --> (1/sqrt(2)+1)*sqrt(670/(5+sqrt(3)))

Evaluating ... ...

h = 17.0303822685416

STEP 3: Convert Result to Output's Unit

17.0303822685416 Meter --> No Conversion Required

FINAL ANSWER

17.0303822685416 ≈ 17.03038 Meter <-- Height of Elongated Square Pyramid

(Calculation completed in 00.004 seconds)

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< Height of Elongated Square Pyramid Calculators

Height of Elongated Square Pyramid given Total Surface Area

LaTeX Go Height of Elongated Square Pyramid = (1/sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))

Height of Elongated Square Pyramid given Surface to Volume Ratio

LaTeX Go Height of Elongated Square Pyramid = (1/sqrt(2)+1)*(5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)

Height of Elongated Square Pyramid given Volume

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

Height of Elongated Square Pyramid

LaTeX Go Height of Elongated Square Pyramid = (1/sqrt(2)+1)*Edge Length of Elongated Square Pyramid

Height of Elongated Square Pyramid given Total Surface Area Formula

LaTeX Go

Height of Elongated Square Pyramid = (1/sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))
h = (1/sqrt(2)+1)*sqrt(TSA/(5+sqrt(3)))

What is an Elongated Square Pyramid?

The Elongated Square Pyramid is a regular pentahedron with a matching regular cube attached to one face, which is the Johnson solid generally denoted by J8. It consists of 9 faces which include 4 equilateral triangles as pyramid faces, 4 squares as side surfaces, and another square as the base surface. Also, It has 16 edges and 9 vertices.

How to Calculate Height of Elongated Square Pyramid given Total Surface Area?

Height of Elongated Square Pyramid given Total Surface Area calculator uses Height of Elongated Square Pyramid = (1/sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3))) to calculate the Height of Elongated Square Pyramid, The Height of Elongated Square Pyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid and is calculated using the total surface area of the Elongated Square Pyramid. Height of Elongated Square Pyramid is denoted by h symbol.

How to calculate Height of Elongated Square Pyramid given Total Surface Area using this online calculator? To use this online calculator for Height of Elongated Square Pyramid given Total Surface Area, enter Total Surface Area of Elongated Square Pyramid (TSA) and hit the calculate button. Here is how the Height of Elongated Square Pyramid given Total Surface Area calculation can be explained with given input values -> 17.03038 = (1/sqrt(2)+1)*sqrt(670/(5+sqrt(3))).

FAQ

What is Height of Elongated Square Pyramid given Total Surface Area?

The Height of Elongated Square Pyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid and is calculated using the total surface area of the Elongated Square Pyramid and is represented as h = (1/sqrt(2)+1)*sqrt(TSA/(5+sqrt(3))) or Height of Elongated Square Pyramid = (1/sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3))). Total Surface Area of Elongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid.

How to calculate Height of Elongated Square Pyramid given Total Surface Area?

The Height of Elongated Square Pyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid and is calculated using the total surface area of the Elongated Square Pyramid is calculated using Height of Elongated Square Pyramid = (1/sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3))). To calculate Height of Elongated Square Pyramid given Total Surface Area, you need Total Surface Area of Elongated Square Pyramid (TSA). With our tool, you need to enter the respective value for Total Surface Area of Elongated Square 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 Square Pyramid?

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

Height of Elongated Square Pyramid = (1/sqrt(2)+1)*Edge Length of Elongated Square Pyramid
Height of Elongated Square Pyramid = (1/sqrt(2)+1)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)
Height of Elongated Square Pyramid = (1/sqrt(2)+1)*(5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)

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