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Height of Right Square Pyramid given Slant Height Formula

GoHeight of Right Square Pyramid given Volume Formula

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Height of Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid. Check FAQs

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

h - Height of Right Square Pyramid?h_slant - Slant Height of Right Square Pyramid?l_e(Base) - Edge Length of Base of Right Square Pyramid?

Height of Right Square Pyramid given Slant Height Example

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

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

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

15.1987 = \sqrt{16^{2} - \frac{10^{2}}{4}}

15.1987m = \sqrt{{16m}^{2} - \frac{{10m}^{2}}{4}}

15.1987 = \sqrt{16^{2} - \frac{10^{2}}{4}}

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Height of Right Square Pyramid given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{16m}^{2} - \frac{{10m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h = \sqrt{16^{2} - \frac{10^{2}}{4}}

Next Step Evaluate

∴

h = 15.1986841535707m

LAST Step Rounding Answer

∴

h = 15.1987m

Height of Right Square Pyramid given Slant Height Formula Elements

Variables

Functions

Height of Right Square Pyramid

Height of Right Square Pyramid is the length of the perpendicular from the apex to the base of the Right Square Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Right Square Pyramid

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

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 Height of Right Square Pyramid

Go Height of Right Square Pyramid given Volume

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

Other formulas in Height of Right Square Pyramid category

Go Slant Height of Right Square Pyramid

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

Go Slant Height of Right Square Pyramid given Volume

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

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

Height of Right Square Pyramid given Slant Height evaluator uses Height of Right Square Pyramid = sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4) to evaluate the Height of Right Square Pyramid, Height of Right Square Pyramid given Slant Height formula is defined as the length of the perpendicular from the apex to the base of the Right Square Pyramid and is calculated using the slant height of the Right Square Pyramid. Height of Right Square Pyramid is denoted by h symbol.

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

FAQs on Height of Right Square Pyramid given Slant Height

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

The formula of Height of Right Square Pyramid given Slant Height is expressed as Height of Right Square Pyramid = sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4). Here is an example- 15.19868 = sqrt(16^2-10^2/4).

How to calculate Height of Right Square Pyramid given Slant Height?

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

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

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

Height of Right Square Pyramid=(3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2

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

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

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

Height of Right Square Pyramid given Slant Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Right Square Pyramid given Slant Height can be measured.

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Height of Right Square Pyramid given Slant Height Formula

​GoHeight of Right Square Pyramid given Volume Formula

Height of Right Square Pyramid given Slant Height Example

Height of Right Square Pyramid given Slant Height Solution

Height of Right Square Pyramid given Slant Height Formula Elements

Other Formulas to find Height of Right Square Pyramid

Other formulas in Height of Right Square Pyramid category

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

FAQs on Height of Right Square Pyramid given Slant Height

Variable Name

GoHeight of Right Square Pyramid given Volume Formula