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Slant Height of Square Pyramid given Volume Formula

GoSlant Height of Square Pyramid Formula

GoSlant Height of Square Pyramid given Lateral Edge Length and Height Formula

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Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face. Check FAQs

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

h_slant - Slant Height of Square Pyramid?l_e(Base) - Edge Length of Base of Square Pyramid?V - Volume of Square Pyramid?

Slant Height of Square Pyramid given Volume Example

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Here is how the Slant Height of Square Pyramid given Volume equation looks like with Values.

Here is how the Slant Height of Square Pyramid given Volume equation looks like with Units.

Here is how the Slant Height of Square Pyramid given Volume equation looks like.

15.8114 = \sqrt{\frac{10^{2}}{4} + {(\frac{3 \cdot 500}{10^{2}})}^{2}}

15.8114m = \sqrt{\frac{{10m}^{2}}{4} + {(\frac{3 \cdot 500m³}{{10m}^{2}})}^{2}}

15.8114 = \sqrt{\frac{10^{2}}{4} + {(\frac{3 \cdot 500}{10^{2}})}^{2}}

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Slant Height of Square Pyramid given Volume Solution

Follow our step by step solution on how to calculate Slant Height of Square Pyramid given Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h slant = \sqrt{\frac{{10m}^{2}}{4} + {(\frac{3 \cdot 500m³}{{10m}^{2}})}^{2}}

Next Step Prepare to Evaluate

∴

h slant = \sqrt{\frac{10^{2}}{4} + {(\frac{3 \cdot 500}{10^{2}})}^{2}}

Next Step Evaluate

∴

h slant = 15.8113883008419m

LAST Step Rounding Answer

∴

h slant = 15.8114m

Slant Height of Square Pyramid given Volume Formula Elements

Variables

Functions

Slant Height of Square Pyramid

Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.

Symbol: h_slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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

Volume of Square Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Slant Height of Square Pyramid

Go Slant Height of Square Pyramid

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

Go Slant Height of Square Pyramid given Lateral Edge Length and Height

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

Go Slant Height of Square Pyramid given Lateral Edge Length

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

Go Slant Height of Square Pyramid given Total Surface Area

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

How to Evaluate Slant Height of Square Pyramid given Volume?

Slant Height of Square Pyramid given Volume evaluator uses Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+((3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2))^2) to evaluate the Slant Height of Square Pyramid, Slant Height of Square Pyramid given Volume formula is defined as the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face and is calculated using the volume of the Square Pyramid. Slant Height of Square Pyramid is denoted by h_slant symbol.

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

FAQs on Slant Height of Square Pyramid given Volume

What is the formula to find Slant Height of Square Pyramid given Volume?

The formula of Slant Height of Square Pyramid given Volume is expressed as Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+((3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2))^2). Here is an example- 15.81139 = sqrt((10^2)/4+((3*500)/(10^2))^2).

How to calculate Slant Height of Square Pyramid given Volume?

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

Here are the different ways to Calculate Slant Height of Square Pyramid-

Slant Height of Square Pyramid=sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)
Slant Height of Square Pyramid=sqrt(Height of Square Pyramid^2+(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)/2)
Slant Height of Square Pyramid=sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)

Can the Slant Height of Square Pyramid given Volume be negative?

No, the Slant Height of Square Pyramid given Volume, measured in Length cannot be negative.

Which unit is used to measure Slant Height of Square Pyramid given Volume?

Slant Height of Square 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 Slant Height of Square Pyramid given Volume can be measured.

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Slant Height of Square Pyramid given Volume Formula

​GoSlant Height of Square Pyramid Formula

​GoSlant Height of Square Pyramid given Lateral Edge Length and Height Formula

Slant Height of Square Pyramid given Volume Example

Slant Height of Square Pyramid given Volume Solution

Slant Height of Square Pyramid given Volume Formula Elements

Other Formulas to find Slant Height of Square Pyramid

How to Evaluate Slant Height of Square Pyramid given Volume?

FAQs on Slant Height of Square Pyramid given Volume

Variable Name

GoSlant Height of Square Pyramid Formula

GoSlant Height of Square Pyramid given Lateral Edge Length and Height Formula