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Slant Height of Right Square Pyramid given Volume Formula

GoSlant Height of Right Square Pyramid Formula

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Slant Height of Right Square Pyramid is the length measured along the lateral face from the base to the apex of the Right 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 Right Square Pyramid?l_e(Base) - Edge Length of Base of Right Square Pyramid?V - Volume of Right Square Pyramid?

Slant Height of Right Square Pyramid given Volume Example

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

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

Here is how the Slant Height of Right 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 Right Square Pyramid given Volume Solution

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

Variables

Functions

Slant Height of Right Square Pyramid

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

Edge Length of Base of Right Square Pyramid

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

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Right Square Pyramid

Volume of Right Square Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Right 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 Right Square Pyramid

Go Slant Height of Right Square Pyramid

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

Other formulas in Height of Right Square Pyramid category

Go Height of Right Square Pyramid given Volume

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

Go Height of Right Square Pyramid given Slant Height

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

How to Evaluate Slant Height of Right Square Pyramid given Volume?

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

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

FAQs on Slant Height of Right Square Pyramid given Volume

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

The formula of Slant Height of Right Square Pyramid given Volume is expressed as Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right 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 Right Square Pyramid given Volume?

With Edge Length of Base of Right Square Pyramid (l_e(Base)) & Volume of Right Square Pyramid (V) we can find Slant Height of Right Square Pyramid given Volume using the formula - Slant Height of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/4+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Slant Height of Right Square Pyramid?

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

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

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

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

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

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

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Slant Height of Right Square Pyramid given Volume Formula

​GoSlant Height of Right Square Pyramid Formula

Slant Height of Right Square Pyramid given Volume Example

Slant Height of Right Square Pyramid given Volume Solution

Slant Height of Right Square Pyramid given Volume Formula Elements

Other Formulas to find Slant Height of Right Square Pyramid

Other formulas in Height of Right Square Pyramid category

How to Evaluate Slant Height of Right Square Pyramid given Volume?

FAQs on Slant Height of Right Square Pyramid given Volume

Variable Name

GoSlant Height of Right Square Pyramid Formula