Lateral Edge Length of Right Square Pyramid given Volume Calculator

✖Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid.ⓘ Edge Length of Base of Right Square Pyramid [l_e(Base)]			+10% -10%
✖Volume of Right Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Right Square Pyramid.ⓘ Volume of Right Square Pyramid [V]			+10% -10%

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

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Lateral Edge Length of Right Square Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Edge Length of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/2+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2)
l_e(Lateral) = sqrt(l_e(Base)^2/2+((3*V)/l_e(Base)^2)^2)
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 Right Square Pyramid - (Measured in Meter) - Lateral Edge Length of Right Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Right Square Pyramid.
Edge Length of Base of Right Square Pyramid - (Measured in Meter) - Edge Length of Base of Right Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Right Square Pyramid.
Volume of Right Square Pyramid - (Measured in Cubic Meter) - Volume of Right Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Right Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Right Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Volume of Right Square Pyramid: 500 Cubic Meter --> 500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Lateral) = sqrt(l_e(Base)^2/2+((3*V)/l_e(Base)^2)^2) --> sqrt(10^2/2+((3*500)/10^2)^2)

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 Right Square Pyramid

(Calculation completed in 00.004 seconds)

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< Lateral Edge Length of Right Square Pyramid Calculators

Lateral Edge Length of Right Square Pyramid given Volume

LaTeX Go Lateral Edge Length of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/2+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2)

Lateral Edge Length of Right Square Pyramid given Slant Height

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

Lateral Edge Length of Right Square Pyramid

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

Lateral Edge Length of Right Square Pyramid given Volume Formula

LaTeX Go

What is a Right Square Pyramid?

A Right Square Pyramid is a square pyramid whose apex is aligned above its base center. So, When an imaginary line drawn from the apex intersects the base at its center at a right angle. A square pyramid is usually the Right 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 Right Square Pyramid given Volume?

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

How to calculate Lateral Edge Length of Right Square Pyramid given Volume using this online calculator? To use this online calculator for Lateral Edge Length of Right Square Pyramid given Volume, enter Edge Length of Base of Right Square Pyramid (l_e(Base)) & Volume of Right Square Pyramid (V) and hit the calculate button. Here is how the Lateral Edge Length of Right Square Pyramid given Volume calculation can be explained with given input values -> 16.58312 = sqrt(10^2/2+((3*500)/10^2)^2).

FAQ

What is Lateral Edge Length of Right Square Pyramid given Volume?

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

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

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

In this formula, Lateral Edge Length of Right Square Pyramid uses Edge Length of Base of Right Square Pyramid & Volume of Right Square Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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