✖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.ⓘ Total Surface Area of Equilateral Square Pyramid [TSA]

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✖Edge Length of Equilateral Square Pyramid is the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid.ⓘ Edge Length of Equilateral Square Pyramid given Surface Area [l_e]

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Formula

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Edge Length of Equilateral Square Pyramid given Surface Area

Formula

`"l"_{"e"} = ("TSA"/(1+sqrt(3)))^(1/2)`

Example

`"9.94117m"=("270m²"/(1+sqrt(3)))^(1/2)`

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Edge Length of Equilateral Square Pyramid given Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
l_e = (TSA/(1+sqrt(3)))^(1/2)
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

Edge Length of Equilateral Square Pyramid - (Measured in Meter) - Edge Length of Equilateral Square Pyramid is the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid.
Total Surface Area of Equilateral Square Pyramid - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Equilateral Square Pyramid: 270 Square Meter --> 270 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (TSA/(1+sqrt(3)))^(1/2) --> (270/(1+sqrt(3)))^(1/2)

Evaluating ... ...

l_e = 9.94116990206879

STEP 3: Convert Result to Output's Unit

9.94116990206879 Meter --> No Conversion Required

FINAL ANSWER

9.94116990206879 ≈ 9.94117 Meter <-- Edge Length of Equilateral Square Pyramid

(Calculation completed in 00.004 seconds)

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< 10+ Equilateral Square Pyramid Calculators

Volume of Equilateral Square Pyramid given Surface Area

Go Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2)

Height of Equilateral Pyramid given TSA

Go Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)

Edge Length of Equilateral Square Pyramid given Surface Area

Go Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)

Total Surface Area of Equilateral Square Pyramid

Go Total Surface Area of Equilateral Square Pyramid = (1+sqrt(3))*Edge Length of Equilateral Square Pyramid^2

Edge Length of Equilateral Square Pyramid given Volume

Go Edge Length of Equilateral Square Pyramid = ((6*Volume of Equilateral Square Pyramid)/sqrt(2))^(1/3)

Volume of Equilateral Square Pyramid

Go Volume of Equilateral Square Pyramid = sqrt(2)/6*Edge Length of Equilateral Square Pyramid^3

Edge Length of Equilateral Square Pyramid given Height

Go Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)

Height of Equilateral Square Pyramid

Go Height of Equilateral Square Pyramid = Edge Length of Equilateral Square Pyramid/sqrt(2)

Height of Equilateral Square Pyramid given Volume

Go Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3)

Volume of Equilateral Square Pyramid given Height

Go Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3

Edge Length of Equilateral Square Pyramid given Surface Area Formula

Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
l_e = (TSA/(1+sqrt(3)))^(1/2)

What is an Equilateral Square Pyramid?

An Equilateral Square Pyramid is a pyramid with a square base and four equilateral triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 equilateral triangular faces and a square base. Also, It has 5 vertices and 8 edges. It is a square pyramid whose lateral faces are equilateral triangles, which implies all the edges of are of equal length.

How to Calculate Edge Length of Equilateral Square Pyramid given Surface Area?

Edge Length of Equilateral Square Pyramid given Surface Area calculator uses Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2) to calculate the Edge Length of Equilateral Square Pyramid, The Edge Length of Equilateral Square Pyramid given Surface Area formula is defined as the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid using the height of the equilateral square pyramid given total surface Area. Edge Length of Equilateral Square Pyramid is denoted by l_e symbol.

How to calculate Edge Length of Equilateral Square Pyramid given Surface Area using this online calculator? To use this online calculator for Edge Length of Equilateral Square Pyramid given Surface Area, enter Total Surface Area of Equilateral Square Pyramid (TSA) and hit the calculate button. Here is how the Edge Length of Equilateral Square Pyramid given Surface Area calculation can be explained with given input values -> 9.94117 = (270/(1+sqrt(3)))^(1/2).

FAQ

What is Edge Length of Equilateral Square Pyramid given Surface Area?

The Edge Length of Equilateral Square Pyramid given Surface Area formula is defined as the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid using the height of the equilateral square pyramid given total surface Area and is represented as l_e = (TSA/(1+sqrt(3)))^(1/2) or Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2). 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.

How to calculate Edge Length of Equilateral Square Pyramid given Surface Area?

The Edge Length of Equilateral Square Pyramid given Surface Area formula is defined as the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid using the height of the equilateral square pyramid given total surface Area is calculated using Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2). To calculate Edge Length of Equilateral Square Pyramid given Surface Area, you need Total Surface Area of Equilateral Square Pyramid (TSA). With our tool, you need to enter the respective value for Total Surface Area of Equilateral 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 Edge Length of Equilateral Square Pyramid?

In this formula, Edge Length of Equilateral Square Pyramid uses Total Surface Area of Equilateral Square Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)
Edge Length of Equilateral Square Pyramid = ((6*Volume of Equilateral Square Pyramid)/sqrt(2))^(1/3)

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