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Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Formula

GoSurface to Volume Ratio of Square Pyramid Formula

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Surface to Volume Ratio of Square Pyramid is the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid. Check FAQs

R A/V = \frac{(2 \cdot ({l e(Lateral)}^{2} - h^{2})) + (\sqrt{2 \cdot ({l e(Lateral)}^{2} - h^{2})} \cdot \sqrt{2 \cdot ({l e(Lateral)}^{2} + h^{2})})}{\frac{1}{3} \cdot h \cdot (2 \cdot ({l e(Lateral)}^{2} - h^{2}))}

R_A/V - Surface to Volume Ratio of Square Pyramid?l_e(Lateral) - Lateral Edge Length of Square Pyramid?h - Height of Square Pyramid?

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Example

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Here is how the Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height equation looks like with Values.

Here is how the Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height equation looks like with Units.

Here is how the Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height equation looks like.

0.7668 = \frac{(2 \cdot (17^{2} - 15^{2})) + (\sqrt{2 \cdot (17^{2} - 15^{2})} \cdot \sqrt{2 \cdot (17^{2} + 15^{2})})}{\frac{1}{3} \cdot 15 \cdot (2 \cdot (17^{2} - 15^{2}))}

0.7668m⁻¹ = \frac{(2 \cdot ({17m}^{2} - {15m}^{2})) + (\sqrt{2 \cdot ({17m}^{2} - {15m}^{2})} \cdot \sqrt{2 \cdot ({17m}^{2} + {15m}^{2})})}{\frac{1}{3} \cdot 15m \cdot (2 \cdot ({17m}^{2} - {15m}^{2}))}

0.7668 = \frac{(2 \cdot (17^{2} - 15^{2})) + (\sqrt{2 \cdot (17^{2} - 15^{2})} \cdot \sqrt{2 \cdot (17^{2} + 15^{2})})}{\frac{1}{3} \cdot 15 \cdot (2 \cdot (17^{2} - 15^{2}))}

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Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height?

FIRST Step Consider the formula

R A/V = \frac{(2 \cdot ({l e(Lateral)}^{2} - h^{2})) + (\sqrt{2 \cdot ({l e(Lateral)}^{2} - h^{2})} \cdot \sqrt{2 \cdot ({l e(Lateral)}^{2} + h^{2})})}{\frac{1}{3} \cdot h \cdot (2 \cdot ({l e(Lateral)}^{2} - h^{2}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot ({17m}^{2} - {15m}^{2})) + (\sqrt{2 \cdot ({17m}^{2} - {15m}^{2})} \cdot \sqrt{2 \cdot ({17m}^{2} + {15m}^{2})})}{\frac{1}{3} \cdot 15m \cdot (2 \cdot ({17m}^{2} - {15m}^{2}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot (17^{2} - 15^{2})) + (\sqrt{2 \cdot (17^{2} - 15^{2})} \cdot \sqrt{2 \cdot (17^{2} + 15^{2})})}{\frac{1}{3} \cdot 15 \cdot (2 \cdot (17^{2} - 15^{2}))}

Next Step Evaluate

∴

R A/V = 0.766789202437732m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7668m⁻¹

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Formula Elements

Variables

Functions

Surface to Volume Ratio of Square Pyramid

Surface to Volume Ratio of Square Pyramid is the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Square Pyramid

Lateral Edge Length of Square Pyramid

Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge Length 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.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Square Pyramid

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)

Other Formulas to find Surface to Volume Ratio of Square Pyramid

Go Surface to Volume Ratio of Square Pyramid

R A/V = \frac{{l e(Base)}^{2} + (l e(Base) \cdot \sqrt{(4 \cdot h^{2}) + {l e(Base)}^{2}})}{\frac{1}{3} \cdot {l e(Base)}^{2} \cdot h}

Other formulas in Surface to Volume Ratio of Square Pyramid category

Go Lateral Edge Length of Square Pyramid

l e(Lateral) = \sqrt{\frac{{l e(Base)}^{2}}{2} + h^{2}}

Go Slant Height of Square Pyramid

h slant = \sqrt{\frac{{l e(Base)}^{2}}{4} + h^{2}}

Go Base Area of Square Pyramid

A Base = {l e(Base)}^{2}

Go Base Angle of Square Pyramid

∠ Base = \arccos (\frac{{(\frac{l e(Base)}{2})}^{2} + {h slant}^{2} - h^{2}}{l e(Base) \cdot h slant})

How to Evaluate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height?

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height evaluator uses Surface to Volume Ratio of Square Pyramid = ((2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))))/(1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))) to evaluate the Surface to Volume Ratio of Square Pyramid, Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height formula is defined as the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid. Surface to Volume Ratio of Square Pyramid is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height, enter Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h) and hit the calculate button.

FAQs on Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height

What is the formula to find Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height?

The formula of Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height is expressed as Surface to Volume Ratio of Square Pyramid = ((2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))))/(1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))). Here is an example- 0.766789 = ((2*(17^2-15^2))+(sqrt(2*(17^2-15^2))*sqrt(2*(17^2+15^2))))/(1/3*15*(2*(17^2-15^2))).

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

With Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h) we can find Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height using the formula - Surface to Volume Ratio of Square Pyramid = ((2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))))/(1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Square Pyramid?

Here are the different ways to Calculate Surface to Volume Ratio of Square Pyramid-

Surface to Volume Ratio of Square Pyramid=(Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Height of Square Pyramid^2)+Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*Height of Square Pyramid)

Can the Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height be negative?

No, the Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height?

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height can be measured.

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Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Formula

​GoSurface to Volume Ratio of Square Pyramid Formula

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Example

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Solution

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height Formula Elements

Other Formulas to find Surface to Volume Ratio of Square Pyramid

Other formulas in Surface to Volume Ratio of Square Pyramid category

How to Evaluate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height?

FAQs on Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height

Variable Name

GoSurface to Volume Ratio of Square Pyramid Formula