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Height of Equilateral Pyramid given TSA Formula

GoHeight of Equilateral Square Pyramid given Volume Formula

GoHeight of Equilateral Square Pyramid Formula

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Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid. Check FAQs

h = (\frac{1}{\sqrt{2}}) \cdot {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{1}{2}}

h - Height of Equilateral Square Pyramid?TSA - Total Surface Area of Equilateral Square Pyramid?

Height of Equilateral Pyramid given TSA Example

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Here is how the Height of Equilateral Pyramid given TSA equation looks like with Values.

Here is how the Height of Equilateral Pyramid given TSA equation looks like with Units.

Here is how the Height of Equilateral Pyramid given TSA equation looks like.

7.0295 = (\frac{1}{\sqrt{2}}) \cdot {(\frac{270}{1 + \sqrt{3}})}^{\frac{1}{2}}

7.0295m = (\frac{1}{\sqrt{2}}) \cdot {(\frac{270m²}{1 + \sqrt{3}})}^{\frac{1}{2}}

7.0295 = (\frac{1}{\sqrt{2}}) \cdot {(\frac{270}{1 + \sqrt{3}})}^{\frac{1}{2}}

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Height of Equilateral Pyramid given TSA Solution

Follow our step by step solution on how to calculate Height of Equilateral Pyramid given TSA?

FIRST Step Consider the formula

h = (\frac{1}{\sqrt{2}}) \cdot {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

h = (\frac{1}{\sqrt{2}}) \cdot {(\frac{270m²}{1 + \sqrt{3}})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

h = (\frac{1}{\sqrt{2}}) \cdot {(\frac{270}{1 + \sqrt{3}})}^{\frac{1}{2}}

Next Step Evaluate

∴

h = 7.02946865068045m

LAST Step Rounding Answer

∴

h = 7.0295m

Height of Equilateral Pyramid given TSA Formula Elements

Variables

Functions

Height of Equilateral Square Pyramid

Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Equilateral Square Pyramid

Total Surface Area of Equilateral Square Pyramid

Total Surface Area of Equilateral Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Equilateral Square Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Equilateral Square Pyramid

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.

Syntax: sqrt(Number)

Other Formulas to find Height of Equilateral Square Pyramid

Go Height of Equilateral Square Pyramid given Volume

h = {(\frac{3 \cdot V}{3})}^{\frac{1}{3}}

Go Height of Equilateral Square Pyramid

h = \frac{l e}{\sqrt{2}}

Other formulas in Equilateral Square Pyramid category

Go Edge Length of Equilateral Square Pyramid given Height

l e = h \cdot \sqrt{2}

Go Edge Length of Equilateral Square Pyramid given Volume

l e = {(\frac{6 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}

Go Edge Length of Equilateral Square Pyramid given Surface Area

l e = {(\frac{TSA}{1 + \sqrt{3}})}^{\frac{1}{2}}

Go Volume of Equilateral Square Pyramid given Height

V = (\frac{2}{3}) \cdot h^{3}

How to Evaluate Height of Equilateral Pyramid given TSA?

Height of Equilateral Pyramid given TSA evaluator uses Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2) to evaluate the Height of Equilateral Square Pyramid, The Height of Equilateral Pyramid given TSA formula is defined as the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid given TSA. Height of Equilateral Square Pyramid is denoted by h symbol.

How to evaluate Height of Equilateral Pyramid given TSA using this online evaluator? To use this online evaluator for Height of Equilateral Pyramid given TSA, enter Total Surface Area of Equilateral Square Pyramid (TSA) and hit the calculate button.

FAQs on Height of Equilateral Pyramid given TSA

What is the formula to find Height of Equilateral Pyramid given TSA?

The formula of Height of Equilateral Pyramid given TSA is expressed as Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2). Here is an example- 7.029469 = (1/sqrt(2))*(270/(1+sqrt(3)))^(1/2).

How to calculate Height of Equilateral Pyramid given TSA?

With Total Surface Area of Equilateral Square Pyramid (TSA) we can find Height of Equilateral Pyramid given TSA using the formula - Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Equilateral Square Pyramid?

Here are the different ways to Calculate Height of Equilateral Square Pyramid-

Height of Equilateral Square Pyramid=((3*Volume of Equilateral Square Pyramid)/3)^(1/3)
Height of Equilateral Square Pyramid=Edge Length of Equilateral Square Pyramid/sqrt(2)

Can the Height of Equilateral Pyramid given TSA be negative?

No, the Height of Equilateral Pyramid given TSA, measured in Length cannot be negative.

Which unit is used to measure Height of Equilateral Pyramid given TSA?

Height of Equilateral Pyramid given TSA is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Equilateral Pyramid given TSA can be measured.

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