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Edge Length of Base of Hollow Pyramid given Volume Formula

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Edge Length of Base of Hollow Pyramid is the length of the straight line connecting any two adjacent vertices on the base of the Hollow Pyramid. Check FAQs

l e(Base) = \sqrt{\frac{3 \cdot V \cdot 4 \cdot \tan (\frac{π}{n})}{n \cdot h Inner}}

l_e(Base) - Edge Length of Base of Hollow Pyramid?V - Volume of Hollow Pyramid?n - Number of Base Vertices of Hollow Pyramid?h_Inner - Inner Height of Hollow Pyramid?π - Archimedes' constant?

Edge Length of Base of Hollow Pyramid given Volume Example

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Here is how the Edge Length of Base of Hollow Pyramid given Volume equation looks like with Values.

Here is how the Edge Length of Base of Hollow Pyramid given Volume equation looks like with Units.

Here is how the Edge Length of Base of Hollow Pyramid given Volume equation looks like.

9.8742 = \sqrt{\frac{3 \cdot 260 \cdot 4 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 8}}

9.8742m = \sqrt{\frac{3 \cdot 260m³ \cdot 4 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 8m}}

9.8742 = \sqrt{\frac{3 \cdot 260 \cdot 4 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 8}}

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Edge Length of Base of Hollow Pyramid given Volume Solution

Follow our step by step solution on how to calculate Edge Length of Base of Hollow Pyramid given Volume?

FIRST Step Consider the formula

l e(Base) = \sqrt{\frac{3 \cdot V \cdot 4 \cdot \tan (\frac{π}{n})}{n \cdot h Inner}}

Next Step Substitute values of Variables

∴

l e(Base) = \sqrt{\frac{3 \cdot 260m³ \cdot 4 \cdot \tan (\frac{π}{4})}{4 \cdot 8m}}

Next Step Substitute values of Constants

∴

l e(Base) = \sqrt{\frac{3 \cdot 260m³ \cdot 4 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 8m}}

Next Step Prepare to Evaluate

∴

l e(Base) = \sqrt{\frac{3 \cdot 260 \cdot 4 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 8}}

Next Step Evaluate

∴

l e(Base) = 9.87420882906575m

LAST Step Rounding Answer

∴

l e(Base) = 9.8742m

Edge Length of Base of Hollow Pyramid given Volume Formula Elements

Variables

Constants

Functions

Edge Length of Base of Hollow Pyramid

Edge Length of Base of Hollow Pyramid is the length of the straight line connecting any two adjacent vertices on the base of the Hollow Pyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Hollow Pyramid

Volume of Hollow Pyramid

Volume of Hollow Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hollow Pyramid

Number of Base Vertices of Hollow Pyramid

Number of Base Vertices of Hollow Pyramid are the number of base vertices of a regular Hollow Pyramid.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Base Vertices of Hollow Pyramid

Inner Height of Hollow Pyramid

Inner Height of Hollow Pyramid is the length of the perpendicular from the apex of the complete pyramid to the apex of the removed pyramid in the Hollow Pyramid.

Symbol: h_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Height of Hollow Pyramid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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.

Syntax: sqrt(Number)

How to Evaluate Edge Length of Base of Hollow Pyramid given Volume?

Edge Length of Base of Hollow Pyramid given Volume evaluator uses Edge Length of Base of Hollow Pyramid = sqrt((3*Volume of Hollow Pyramid*4*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid)) to evaluate the Edge Length of Base of Hollow Pyramid, Edge Length of Base of Hollow Pyramid given Volume formula is defined as the length of the straight line connecting any two adjacent vertices of base of the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid. Edge Length of Base of Hollow Pyramid is denoted by l_e(Base) symbol.

How to evaluate Edge Length of Base of Hollow Pyramid given Volume using this online evaluator? To use this online evaluator for Edge Length of Base of Hollow Pyramid given Volume, enter Volume of Hollow Pyramid (V), Number of Base Vertices of Hollow Pyramid (n) & Inner Height of Hollow Pyramid (h_Inner) and hit the calculate button.

FAQs on Edge Length of Base of Hollow Pyramid given Volume

What is the formula to find Edge Length of Base of Hollow Pyramid given Volume?

The formula of Edge Length of Base of Hollow Pyramid given Volume is expressed as Edge Length of Base of Hollow Pyramid = sqrt((3*Volume of Hollow Pyramid*4*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid)). Here is an example- 9.874209 = sqrt((3*260*4*tan(pi/4))/(4*8)).

How to calculate Edge Length of Base of Hollow Pyramid given Volume?

With Volume of Hollow Pyramid (V), Number of Base Vertices of Hollow Pyramid (n) & Inner Height of Hollow Pyramid (h_Inner) we can find Edge Length of Base of Hollow Pyramid given Volume using the formula - Edge Length of Base of Hollow Pyramid = sqrt((3*Volume of Hollow Pyramid*4*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid)). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) function(s).

Can the Edge Length of Base of Hollow Pyramid given Volume be negative?

No, the Edge Length of Base of Hollow Pyramid given Volume, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Base of Hollow Pyramid given Volume?

Edge Length of Base of Hollow Pyramid given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Base of Hollow Pyramid given Volume can be measured.

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Edge Length of Base of Hollow Pyramid given Volume Formula

Edge Length of Base of Hollow Pyramid given Volume Example

Edge Length of Base of Hollow Pyramid given Volume Solution

Edge Length of Base of Hollow Pyramid given Volume Formula Elements

How to Evaluate Edge Length of Base of Hollow Pyramid given Volume?

FAQs on Edge Length of Base of Hollow Pyramid given Volume

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