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Height of Square Pyramid given Total Surface Area Formula

GoHeight of Square Pyramid given Slant Height Formula

GoHeight of Square Pyramid given Lateral Edge Length Formula

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

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

h - Height of Square Pyramid?TSA - Total Surface Area of Square Pyramid?l_e(Base) - Edge Length of Base of Square Pyramid?

Height of Square Pyramid given Total Surface Area Example

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Here is how the Height of Square Pyramid given Total Surface Area equation looks like with Values.

Here is how the Height of Square Pyramid given Total Surface Area equation looks like with Units.

Here is how the Height of Square Pyramid given Total Surface Area equation looks like.

15.1987 = \sqrt{\frac{{(\frac{420 - 10^{2}}{10})}^{2} - 10^{2}}{4}}

15.1987m = \sqrt{\frac{{(\frac{420m² - {10m}^{2}}{10m})}^{2} - {10m}^{2}}{4}}

15.1987 = \sqrt{\frac{{(\frac{420 - 10^{2}}{10})}^{2} - 10^{2}}{4}}

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Height of Square Pyramid given Total Surface Area Solution

Follow our step by step solution on how to calculate Height of Square Pyramid given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{{(\frac{420m² - {10m}^{2}}{10m})}^{2} - {10m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{{(\frac{420 - 10^{2}}{10})}^{2} - 10^{2}}{4}}

Next Step Evaluate

∴

h = 15.1986841535707m

LAST Step Rounding Answer

∴

h = 15.1987m

Height of Square Pyramid given Total Surface Area Formula Elements

Variables

Functions

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

Total Surface Area of Square Pyramid

Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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 Square Pyramid

Go Height of Square Pyramid given Slant Height

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

Go Height of Square Pyramid given Lateral Edge Length

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

Go Height of Square Pyramid given Base Angle

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

Go Height of Square Pyramid given Volume

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

How to Evaluate Height of Square Pyramid given Total Surface Area?

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

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

FAQs on Height of Square Pyramid given Total Surface Area

What is the formula to find Height of Square Pyramid given Total Surface Area?

The formula of Height of Square Pyramid given Total Surface Area is expressed as Height of Square Pyramid = sqrt((((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4). Here is an example- 15.19868 = sqrt((((420-10^2)/10)^2-10^2)/4).

How to calculate Height of Square Pyramid given Total Surface Area?

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

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

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

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

Can the Height of Square Pyramid given Total Surface Area be negative?

No, the Height of Square Pyramid given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Height of Square Pyramid given Total Surface Area?

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

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Height of Square Pyramid given Total Surface Area Formula

​GoHeight of Square Pyramid given Slant Height Formula

​GoHeight of Square Pyramid given Lateral Edge Length Formula

Height of Square Pyramid given Total Surface Area Example

Height of Square Pyramid given Total Surface Area Solution

Height of Square Pyramid given Total Surface Area Formula Elements

Other Formulas to find Height of Square Pyramid

How to Evaluate Height of Square Pyramid given Total Surface Area?

FAQs on Height of Square Pyramid given Total Surface Area

Variable Name

GoHeight of Square Pyramid given Slant Height Formula

GoHeight of Square Pyramid given Lateral Edge Length Formula