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

GoSurface to Volume Ratio of Square Pyramid Formula

GoSurface to Volume Ratio of Square Pyramid given Slant Height 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{{l e(Base)}^{2} + (l e(Base) \cdot \sqrt{(4 \cdot {l e(Lateral)}^{2}) - {l e(Base)}^{2}})}{\frac{1}{3} \cdot {l e(Base)}^{2} \cdot \sqrt{{l e(Lateral)}^{2} - \frac{{l e(Base)}^{2}}{2}}}

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

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

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

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

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

0.8247 = \frac{10^{2} + (10 \cdot \sqrt{(4 \cdot 17^{2}) - 10^{2}})}{\frac{1}{3} \cdot 10^{2} \cdot \sqrt{17^{2} - \frac{10^{2}}{2}}}

0.8247m⁻¹ = \frac{{10m}^{2} + (10m \cdot \sqrt{(4 \cdot {17m}^{2}) - {10m}^{2}})}{\frac{1}{3} \cdot {10m}^{2} \cdot \sqrt{{17m}^{2} - \frac{{10m}^{2}}{2}}}

0.8247 = \frac{10^{2} + (10 \cdot \sqrt{(4 \cdot 17^{2}) - 10^{2}})}{\frac{1}{3} \cdot 10^{2} \cdot \sqrt{17^{2} - \frac{10^{2}}{2}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{{10m}^{2} + (10m \cdot \sqrt{(4 \cdot {17m}^{2}) - {10m}^{2}})}{\frac{1}{3} \cdot {10m}^{2} \cdot \sqrt{{17m}^{2} - \frac{{10m}^{2}}{2}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{10^{2} + (10 \cdot \sqrt{(4 \cdot 17^{2}) - 10^{2}})}{\frac{1}{3} \cdot 10^{2} \cdot \sqrt{17^{2} - \frac{10^{2}}{2}}}

Next Step Evaluate

∴

R A/V = 0.824654299355251m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.8247m⁻¹

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length 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

Edge Length of Base of Square Pyramid

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

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base 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

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}

Go Surface to Volume Ratio of Square Pyramid given Slant Height

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

Go Surface to Volume Ratio of Square Pyramid given Slant Height and Height

R A/V = \frac{(4 \cdot ({h slant}^{2} - h^{2})) + (4 \cdot h slant \cdot \sqrt{{h slant}^{2} - h^{2}})}{\frac{4}{3} \cdot ({h slant}^{2} - h^{2}) \cdot h}

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

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}))}

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

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length evaluator uses Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)) to evaluate the Surface to Volume Ratio of Square Pyramid, Surface to Volume Ratio of Square Pyramid given Lateral Edge Length 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 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Square Pyramid given Lateral Edge Length, enter Edge Length of Base of Square Pyramid (l_e(Base)) & Lateral Edge Length of Square Pyramid (l_e(Lateral)) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Square Pyramid given Lateral Edge Length is expressed as Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)). Here is an example- 0.824654 = (10^2+(10*sqrt((4*17^2)-10^2)))/(1/3*10^2*sqrt(17^2-(10^2)/2)).

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

With Edge Length of Base of Square Pyramid (l_e(Base)) & Lateral Edge Length of Square Pyramid (l_e(Lateral)) we can find Surface to Volume Ratio of Square Pyramid given Lateral Edge Length using the formula - Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/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)
Surface to Volume Ratio of Square Pyramid=((2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2)/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Slant Height of Square Pyramid^2-Edge Length of Base of Square Pyramid^2/4))
Surface to Volume Ratio of Square Pyramid=((4*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2))+(4*Slant Height of Square Pyramid*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)))/(4/3*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)*Height of Square Pyramid)

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

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

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

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length 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 can be measured.

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

​GoSurface to Volume Ratio of Square Pyramid Formula

​GoSurface to Volume Ratio of Square Pyramid given Slant Height Formula

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

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

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

Other Formulas to find Surface to Volume Ratio of Square Pyramid

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

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

Variable Name

GoSurface to Volume Ratio of Square Pyramid Formula

GoSurface to Volume Ratio of Square Pyramid given Slant Height Formula