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

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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 Square Pyramid given Volume [h]

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Formula

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Height of Equilateral Square Pyramid given Volume

Formula

`"h" = ((3*"V")/3)^(1/3)`

Example

`"6.171006m"=((3*"235m³")/3)^(1/3)`

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Height of Equilateral Square Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3)
h = ((3*V)/3)^(1/3)
This formula uses 2 Variables

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.
Volume of Equilateral Square Pyramid - (Measured in Cubic Meter) - Volume of Equilateral Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Equilateral Square Pyramid: 235 Cubic Meter --> 235 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((3*V)/3)^(1/3) --> ((3*235)/3)^(1/3)

Evaluating ... ...

h = 6.17100579277672

STEP 3: Convert Result to Output's Unit

6.17100579277672 Meter --> No Conversion Required

FINAL ANSWER

6.17100579277672 ≈ 6.171006 Meter <-- Height of Equilateral Square Pyramid

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Pyramids » Square Pyramids » Equilateral Square Pyramid » Height of Equilateral Square Pyramid given Volume

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Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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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

Height of Equilateral Square Pyramid given Volume Formula

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

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 Square Pyramid given Volume?

Height of Equilateral Square Pyramid given Volume calculator uses Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3) to calculate the Height of Equilateral Square Pyramid, The Height of Equilateral Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid given volume of the square pyramid. Height of Equilateral Square Pyramid is denoted by h symbol.

How to calculate Height of Equilateral Square Pyramid given Volume using this online calculator? To use this online calculator for Height of Equilateral Square Pyramid given Volume, enter Volume of Equilateral Square Pyramid (V) and hit the calculate button. Here is how the Height of Equilateral Square Pyramid given Volume calculation can be explained with given input values -> 6.171006 = ((3*235)/3)^(1/3).

FAQ

What is Height of Equilateral Square Pyramid given Volume?

The Height of Equilateral Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid given volume of the square pyramid and is represented as h = ((3*V)/3)^(1/3) or Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3). Volume of Equilateral Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid.

How to calculate Height of Equilateral Square Pyramid given Volume?

The Height of Equilateral Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid given volume of the square pyramid is calculated using Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3). To calculate Height of Equilateral Square Pyramid given Volume, you need Volume of Equilateral Square Pyramid (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
Height of Equilateral Square Pyramid = Edge Length of Equilateral Square Pyramid/sqrt(2)

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