Height of Equilateral Pyramid given TSA Calculator

✖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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✖Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.ⓘ Height of Equilateral Pyramid given TSA [h]

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Height of Equilateral Pyramid given TSA Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Equilateral Square Pyramid - (Measured in Meter) - Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base 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

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

Evaluating ... ...

h = 7.02946865068045

STEP 3: Convert Result to Output's Unit

7.02946865068045 Meter --> No Conversion Required

FINAL ANSWER

7.02946865068045 ≈ 7.029469 Meter <-- Height of Equilateral Square Pyramid

(Calculation completed in 00.004 seconds)

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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< Equilateral Square Pyramid Calculators

Height of Equilateral Pyramid given TSA

LaTeX 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

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

Edge Length of Equilateral Square Pyramid given Volume

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

Edge Length of Equilateral Square Pyramid given Height

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

Height of Equilateral Pyramid given TSA Formula

LaTeX Go

Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
h = (1/sqrt(2))*(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 Height of Equilateral Pyramid given TSA?

Height of Equilateral Pyramid given TSA calculator uses Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2) to calculate 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 calculate Height of Equilateral Pyramid given TSA using this online calculator? To use this online calculator for Height of Equilateral Pyramid given TSA, enter Total Surface Area of Equilateral Square Pyramid (TSA) and hit the calculate button. Here is how the Height of Equilateral Pyramid given TSA calculation can be explained with given input values -> 7.029469 = (1/sqrt(2))*(270/(1+sqrt(3)))^(1/2).

FAQ

What is Height of Equilateral Pyramid given TSA?

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 and is represented as h = (1/sqrt(2))*(TSA/(1+sqrt(3)))^(1/2) or Height of Equilateral Square Pyramid = (1/sqrt(2))*(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 Height of Equilateral Pyramid given TSA?

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 is calculated using Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2). To calculate Height of Equilateral Pyramid given TSA, 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 Height of Equilateral Square Pyramid?

In this formula, Height 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 -

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)

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