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Total Surface Area of Square Pillar given Space Diagonal Formula

GoTotal Surface Area of Square Pillar Formula

GoTotal Surface Area of Square Pillar given Volume Formula

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Total Surface Area of Square Pillar is the total amount of two-dimensional space occupied by all the faces of the Square Pillar. Check FAQs

TSA = 2 \cdot ({B Edges}^{2} + (2 \cdot B Edges \cdot \sqrt{{d Space}^{2} - (2 \cdot {B Edges}^{2})}))

TSA - Total Surface Area of Square Pillar?B_Edges - Base Edges of Square Pillar?d_Space - Space Diagonal of Square Pillar?

Total Surface Area of Square Pillar given Space Diagonal Example

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Here is how the Total Surface Area of Square Pillar given Space Diagonal equation looks like with Values.

Here is how the Total Surface Area of Square Pillar given Space Diagonal equation looks like with Units.

Here is how the Total Surface Area of Square Pillar given Space Diagonal equation looks like.

645.4211 = 2 \cdot (10^{2} + (2 \cdot 10 \cdot \sqrt{18^{2} - (2 \cdot 10^{2})}))

645.4211m² = 2 \cdot ({10m}^{2} + (2 \cdot 10m \cdot \sqrt{{18m}^{2} - (2 \cdot {10m}^{2})}))

645.4211 = 2 \cdot (10^{2} + (2 \cdot 10 \cdot \sqrt{18^{2} - (2 \cdot 10^{2})}))

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Total Surface Area of Square Pillar given Space Diagonal Solution

Follow our step by step solution on how to calculate Total Surface Area of Square Pillar given Space Diagonal?

FIRST Step Consider the formula

TSA = 2 \cdot ({B Edges}^{2} + (2 \cdot B Edges \cdot \sqrt{{d Space}^{2} - (2 \cdot {B Edges}^{2})}))

Next Step Substitute values of Variables

∴

TSA = 2 \cdot ({10m}^{2} + (2 \cdot 10m \cdot \sqrt{{18m}^{2} - (2 \cdot {10m}^{2})}))

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot (10^{2} + (2 \cdot 10 \cdot \sqrt{18^{2} - (2 \cdot 10^{2})}))

Next Step Evaluate

∴

TSA = 645.421149026402m²

LAST Step Rounding Answer

∴

TSA = 645.4211m²

Total Surface Area of Square Pillar given Space Diagonal Formula Elements

Variables

Functions

Total Surface Area of Square Pillar

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Square Pillar

Base Edges of Square Pillar

Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.

Symbol: B_Edges

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Edges of Square Pillar

Space Diagonal of Square Pillar

Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Square Pillar

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 Total Surface Area of Square Pillar

Go Total Surface Area of Square Pillar

TSA = 2 \cdot ({B Edges}^{2} + (2 \cdot B Edges \cdot h))

Go Total Surface Area of Square Pillar given Volume

TSA = 2 \cdot ({B Edges}^{2} + \frac{2 \cdot V}{B Edges})

Go Total Surface Area of Square Pillar given Surface to Volume Ratio

TSA = 2 \cdot ({B Edges}^{2} + \frac{4 \cdot B Edges}{R A/V - \frac{4}{B Edges}})

Go Total Surface Area of Square Pillar given Lateral Surface Area

TSA = (2 \cdot {B Edges}^{2}) + LSA

How to Evaluate Total Surface Area of Square Pillar given Space Diagonal?

Total Surface Area of Square Pillar given Space Diagonal evaluator uses Total Surface Area of Square Pillar = 2*(Base Edges of Square Pillar^2+(2*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)))) to evaluate the Total Surface Area of Square Pillar, The Total Surface Area of Square Pillar given Space Diagonal formula is defined as the measure of the total area that the surface of the Square Pillar occupies, calculated using its space diagonal. Total Surface Area of Square Pillar is denoted by TSA symbol.

How to evaluate Total Surface Area of Square Pillar given Space Diagonal using this online evaluator? To use this online evaluator for Total Surface Area of Square Pillar given Space Diagonal, enter Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space) and hit the calculate button.

FAQs on Total Surface Area of Square Pillar given Space Diagonal

What is the formula to find Total Surface Area of Square Pillar given Space Diagonal?

The formula of Total Surface Area of Square Pillar given Space Diagonal is expressed as Total Surface Area of Square Pillar = 2*(Base Edges of Square Pillar^2+(2*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)))). Here is an example- 645.4211 = 2*(10^2+(2*10*sqrt(18^2-(2*10^2)))).

How to calculate Total Surface Area of Square Pillar given Space Diagonal?

With Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space) we can find Total Surface Area of Square Pillar given Space Diagonal using the formula - Total Surface Area of Square Pillar = 2*(Base Edges of Square Pillar^2+(2*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Square Pillar?

Here are the different ways to Calculate Total Surface Area of Square Pillar-

Total Surface Area of Square Pillar=2*(Base Edges of Square Pillar^2+(2*Base Edges of Square Pillar*Height of Square Pillar))
Total Surface Area of Square Pillar=2*(Base Edges of Square Pillar^2+(2*Volume of Square Pillar)/Base Edges of Square Pillar)
Total Surface Area of Square Pillar=2*(Base Edges of Square Pillar^2+(4*Base Edges of Square Pillar)/(Surface to Volume Ratio of Square Pillar-4/Base Edges of Square Pillar))

Can the Total Surface Area of Square Pillar given Space Diagonal be negative?

No, the Total Surface Area of Square Pillar given Space Diagonal, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Square Pillar given Space Diagonal?

Total Surface Area of Square Pillar given Space Diagonal is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Square Pillar given Space Diagonal can be measured.

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Total Surface Area of Square Pillar given Space Diagonal Formula

​GoTotal Surface Area of Square Pillar Formula

​GoTotal Surface Area of Square Pillar given Volume Formula

Total Surface Area of Square Pillar given Space Diagonal Example

Total Surface Area of Square Pillar given Space Diagonal Solution

Total Surface Area of Square Pillar given Space Diagonal Formula Elements

Other Formulas to find Total Surface Area of Square Pillar

How to Evaluate Total Surface Area of Square Pillar given Space Diagonal?

FAQs on Total Surface Area of Square Pillar given Space Diagonal

Variable Name

GoTotal Surface Area of Square Pillar Formula

GoTotal Surface Area of Square Pillar given Volume Formula