Lateral Edge Length of Square Pyramid given Volume and Height Calculator

✖Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.ⓘ Height of Square Pyramid [h]			+10% -10%
✖Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.ⓘ Volume of Square Pyramid [V]			+10% -10%

✖Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.ⓘ Lateral Edge Length of Square Pyramid given Volume and Height [l_e(Lateral)]

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Lateral Edge Length of Square Pyramid given Volume and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid))
l_e(Lateral) = sqrt(h^2+(3/2*V/h))
This formula uses 1 Functions, 3 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

Lateral Edge Length of Square Pyramid - (Measured in Meter) - Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.
Height of Square Pyramid - (Measured in Meter) - Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.
Volume of Square Pyramid - (Measured in Cubic Meter) - Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Square Pyramid: 15 Meter --> 15 Meter No Conversion Required
Volume of Square Pyramid: 500 Cubic Meter --> 500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Lateral) = sqrt(h^2+(3/2*V/h)) --> sqrt(15^2+(3/2*500/15))

Evaluating ... ...

l_e(Lateral) = 16.583123951777

STEP 3: Convert Result to Output's Unit

16.583123951777 Meter --> No Conversion Required

FINAL ANSWER

16.583123951777 ≈ 16.58312 Meter <-- Lateral Edge Length of Square Pyramid

(Calculation completed in 00.017 seconds)

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< Edge Length of Square Pyramid Calculators

Lateral Edge Length of Square Pyramid given Slant Height

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2)

Edge Length of Base of Square Pyramid given Lateral Edge Length

LaTeX Go Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Edge Length of Base of Square Pyramid given Slant Height

LaTeX Go Edge Length of Base of Square Pyramid = 2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)

< Important Formulas of Regular Square Pyramid Calculators

Base Angle of Square Pyramid

LaTeX Go Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Slant Height of Square Pyramid

LaTeX Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)

Base Area of Square Pyramid

LaTeX Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Lateral Edge Length of Square Pyramid given Volume and Height Formula

LaTeX Go

Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid))
l_e(Lateral) = sqrt(h^2+(3/2*V/h))

What is a Square Pyramid?

A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces, and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Lateral Edge Length of Square Pyramid given Volume and Height?

Lateral Edge Length of Square Pyramid given Volume and Height calculator uses Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid)) to calculate the Lateral Edge Length of Square Pyramid, Lateral Edge Length of Square Pyramid given Volume and Height formula is defined as the length of the straight line connecting any base vertex to the apex of the Square Pyramid and is calculated using the volume and height of the Square Pyramid. Lateral Edge Length of Square Pyramid is denoted by l_e(Lateral) symbol.

How to calculate Lateral Edge Length of Square Pyramid given Volume and Height using this online calculator? To use this online calculator for Lateral Edge Length of Square Pyramid given Volume and Height, enter Height of Square Pyramid (h) & Volume of Square Pyramid (V) and hit the calculate button. Here is how the Lateral Edge Length of Square Pyramid given Volume and Height calculation can be explained with given input values -> 16.58312 = sqrt(15^2+(3/2*500/15)).

FAQ

What is Lateral Edge Length of Square Pyramid given Volume and Height?

Lateral Edge Length of Square Pyramid given Volume and Height formula is defined as the length of the straight line connecting any base vertex to the apex of the Square Pyramid and is calculated using the volume and height of the Square Pyramid and is represented as l_e(Lateral) = sqrt(h^2+(3/2*V/h)) or Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid)). Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid & Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.

How to calculate Lateral Edge Length of Square Pyramid given Volume and Height?

Lateral Edge Length of Square Pyramid given Volume and Height formula is defined as the length of the straight line connecting any base vertex to the apex of the Square Pyramid and is calculated using the volume and height of the Square Pyramid is calculated using Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid)). To calculate Lateral Edge Length of Square Pyramid given Volume and Height, you need Height of Square Pyramid (h) & Volume of Square Pyramid (V). With our tool, you need to enter the respective value for Height of Square Pyramid & Volume of 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 Lateral Edge Length of Square Pyramid?

In this formula, Lateral Edge Length of Square Pyramid uses Height of Square Pyramid & Volume of Square Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)
Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2)
Lateral Edge Length of Square Pyramid = sqrt((2*Slant Height of Square Pyramid^2)-Height of Square Pyramid^2)

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