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Surface to Volume Ratio of Square Pyramid Formula

GoSurface to Volume Ratio of Square Pyramid given Lateral Edge Length and 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 h^{2}) + {l e(Base)}^{2}})}{\frac{1}{3} \cdot {l e(Base)}^{2} \cdot h}

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

Surface to Volume Ratio of Square Pyramid Example

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

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

Here is how the Surface to Volume Ratio of Square Pyramid equation looks like.

0.8325 = \frac{10^{2} + (10 \cdot \sqrt{(4 \cdot 15^{2}) + 10^{2}})}{\frac{1}{3} \cdot 10^{2} \cdot 15}

0.8325m⁻¹ = \frac{{10m}^{2} + (10m \cdot \sqrt{(4 \cdot {15m}^{2}) + {10m}^{2}})}{\frac{1}{3} \cdot {10m}^{2} \cdot 15m}

0.8325 = \frac{10^{2} + (10 \cdot \sqrt{(4 \cdot 15^{2}) + 10^{2}})}{\frac{1}{3} \cdot 10^{2} \cdot 15}

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Surface to Volume Ratio of Square Pyramid Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

R A/V = \frac{{10m}^{2} + (10m \cdot \sqrt{(4 \cdot {15m}^{2}) + {10m}^{2}})}{\frac{1}{3} \cdot {10m}^{2} \cdot 15m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{10^{2} + (10 \cdot \sqrt{(4 \cdot 15^{2}) + 10^{2}})}{\frac{1}{3} \cdot 10^{2} \cdot 15}

Next Step Evaluate

∴

R A/V = 0.832455532033676m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.8325m⁻¹

Surface to Volume Ratio of Square Pyramid 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

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 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}))}

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?

Surface to Volume Ratio of Square Pyramid 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*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) to evaluate the Surface to Volume Ratio of Square Pyramid, Surface to Volume Ratio of Square Pyramid formula is defined as the numerical ratio of the total surface area of the Square Pyramid to the volume 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Square Pyramid, enter Edge Length of Base of Square Pyramid (l_e(Base)) & Height of Square Pyramid (h) and hit the calculate button.

FAQs on Surface to Volume Ratio of Square Pyramid

What is the formula to find Surface to Volume Ratio of Square Pyramid?

The formula of Surface to Volume Ratio of Square Pyramid 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*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). Here is an example- 0.832456 = (10^2+(10*sqrt((4*15^2)+10^2)))/(1/3*10^2*15).

How to calculate Surface to Volume Ratio of Square Pyramid?

With Edge Length of Base of Square Pyramid (l_e(Base)) & Height of Square Pyramid (h) we can find Surface to Volume Ratio of Square Pyramid 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*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). 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=((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)))

Can the Surface to Volume Ratio of Square Pyramid be negative?

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

Which unit is used to measure Surface to Volume Ratio of Square Pyramid?

Surface to Volume Ratio of Square Pyramid 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 can be measured.

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Surface to Volume Ratio of Square Pyramid Formula

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

Surface to Volume Ratio of Square Pyramid Example

Surface to Volume Ratio of Square Pyramid Solution

Surface to Volume Ratio of Square Pyramid 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?

FAQs on Surface to Volume Ratio of Square Pyramid

Variable Name

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