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Volume of Hollow Pyramid given Total Height and Missing Height Formula

GoVolume of Hollow Pyramid Formula

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

V = \frac{\frac{1}{3} \cdot n \cdot (h Total - h Missing) \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

V - Volume of Hollow Pyramid?n - Number of Base Vertices of Hollow Pyramid?h_Total - Total Height of Hollow Pyramid?h_Missing - Missing Height of Hollow Pyramid?l_e(Base) - Edge Length of Base of Hollow Pyramid?π - Archimedes' constant?

Volume of Hollow Pyramid given Total Height and Missing Height Example

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Here is how the Volume of Hollow Pyramid given Total Height and Missing Height equation looks like with Values.

Here is how the Volume of Hollow Pyramid given Total Height and Missing Height equation looks like with Units.

Here is how the Volume of Hollow Pyramid given Total Height and Missing Height equation looks like.

266.6667 = \frac{\frac{1}{3} \cdot 4 \cdot (15 - 7) \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

266.6667m³ = \frac{\frac{1}{3} \cdot 4 \cdot (15m - 7m) \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

266.6667 = \frac{\frac{1}{3} \cdot 4 \cdot (15 - 7) \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

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Volume of Hollow Pyramid given Total Height and Missing Height Solution

Follow our step by step solution on how to calculate Volume of Hollow Pyramid given Total Height and Missing Height?

FIRST Step Consider the formula

V = \frac{\frac{1}{3} \cdot n \cdot (h Total - h Missing) \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

Next Step Substitute values of Variables

∴

V = \frac{\frac{1}{3} \cdot 4 \cdot (15m - 7m) \cdot {10m}^{2}}{4 \cdot \tan (\frac{π}{4})}

Next Step Substitute values of Constants

∴

V = \frac{\frac{1}{3} \cdot 4 \cdot (15m - 7m) \cdot {10m}^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

Next Step Prepare to Evaluate

∴

V = \frac{\frac{1}{3} \cdot 4 \cdot (15 - 7) \cdot 10^{2}}{4 \cdot \tan (\frac{3.1416}{4})}

Next Step Evaluate

∴

V = 266.666666666667m³

LAST Step Rounding Answer

∴

V = 266.6667m³

Volume of Hollow Pyramid given Total Height and Missing Height Formula Elements

Variables

Constants

Functions

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

Total Height of Hollow Pyramid

Total Height of Hollow Pyramid is the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid.

Symbol: h_Total

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Height of Hollow Pyramid

Missing Height of Hollow Pyramid

Missing Height of Hollow Pyramid is the length of the perpendicular from the apex of the removed pyramid to the base of the removed pyramid in the Hollow Pyramid.

Symbol: h_Missing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Missing Height of Hollow Pyramid

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

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)

Other Formulas to find Volume of Hollow Pyramid

Go Volume of Hollow Pyramid

V = \frac{\frac{1}{3} \cdot n \cdot h Inner \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

How to Evaluate Volume of Hollow Pyramid given Total Height and Missing Height?

Volume of Hollow Pyramid given Total Height and Missing Height evaluator uses Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*(Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid)*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid)) to evaluate the Volume of Hollow Pyramid, Volume of Hollow Pyramid given Total Height and Missing Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid and is calculated using the total height and missing height of the Hollow Pyramid. Volume of Hollow Pyramid is denoted by V symbol.

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

FAQs on Volume of Hollow Pyramid given Total Height and Missing Height

What is the formula to find Volume of Hollow Pyramid given Total Height and Missing Height?

The formula of Volume of Hollow Pyramid given Total Height and Missing Height is expressed as Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*(Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid)*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid)). Here is an example- 266.6667 = (1/3*4*(15-7)*10^2)/(4*tan(pi/4)).

How to calculate Volume of Hollow Pyramid given Total Height and Missing Height?

With Number of Base Vertices of Hollow Pyramid (n), Total Height of Hollow Pyramid (h_Total), Missing Height of Hollow Pyramid (h_Missing) & Edge Length of Base of Hollow Pyramid (l_e(Base)) we can find Volume of Hollow Pyramid given Total Height and Missing Height using the formula - Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*(Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid)*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid)). This formula also uses Archimedes' constant and Tangent function(s).

What are the other ways to Calculate Volume of Hollow Pyramid?

Here are the different ways to Calculate Volume of Hollow Pyramid-

Volume of Hollow Pyramid=(1/3*Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid))

Can the Volume of Hollow Pyramid given Total Height and Missing Height be negative?

No, the Volume of Hollow Pyramid given Total Height and Missing Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hollow Pyramid given Total Height and Missing Height?

Volume of Hollow Pyramid given Total Height and Missing Height is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Hollow Pyramid given Total Height and Missing Height can be measured.

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Volume of Hollow Pyramid given Total Height and Missing Height Formula

​GoVolume of Hollow Pyramid Formula

Volume of Hollow Pyramid given Total Height and Missing Height Example

Volume of Hollow Pyramid given Total Height and Missing Height Solution

Volume of Hollow Pyramid given Total Height and Missing Height Formula Elements

Other Formulas to find Volume of Hollow Pyramid

How to Evaluate Volume of Hollow Pyramid given Total Height and Missing Height?

FAQs on Volume of Hollow Pyramid given Total Height and Missing Height

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GoVolume of Hollow Pyramid Formula