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Space Diagonal of Square Pillar given Total Surface Area Formula

GoSpace Diagonal of Square Pillar Formula

GoSpace Diagonal of Square Pillar given Volume Formula

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

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

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

Space Diagonal of Square Pillar given Total Surface Area Example

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

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

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

18.5472 = \sqrt{(2 \cdot 10^{2}) + {(\frac{\frac{680}{2} - 10^{2}}{2 \cdot 10})}^{2}}

18.5472m = \sqrt{(2 \cdot {10m}^{2}) + {(\frac{\frac{680m²}{2} - {10m}^{2}}{2 \cdot 10m})}^{2}}

18.5472 = \sqrt{(2 \cdot 10^{2}) + {(\frac{\frac{680}{2} - 10^{2}}{2 \cdot 10})}^{2}}

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Space Diagonal of Square Pillar given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = \sqrt{(2 \cdot {10m}^{2}) + {(\frac{\frac{680m²}{2} - {10m}^{2}}{2 \cdot 10m})}^{2}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{(2 \cdot 10^{2}) + {(\frac{\frac{680}{2} - 10^{2}}{2 \cdot 10})}^{2}}

Next Step Evaluate

∴

d Space = 18.5472369909914m

LAST Step Rounding Answer

∴

d Space = 18.5472m

Space Diagonal of Square Pillar given Total Surface Area Formula Elements

Variables

Functions

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

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

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

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 Space Diagonal of Square Pillar

Go Space Diagonal of Square Pillar

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

Go Space Diagonal of Square Pillar given Volume

d Space = \sqrt{(2 \cdot {B Edges}^{2}) + {(\frac{V}{{B Edges}^{2}})}^{2}}

Go Space Diagonal of Square Pillar given Surface to Volume Ratio

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

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

Space Diagonal of Square Pillar given Total Surface Area evaluator uses Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+((Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar))^2) to evaluate the Space Diagonal of Square Pillar, The Space Diagonal of Square Pillar given Total Surface Area formula is defined as a straight line joining two opposite corners of a Square Pillar, calculated using its total surface area. Space Diagonal of Square Pillar is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Square Pillar given Total Surface Area

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

The formula of Space Diagonal of Square Pillar given Total Surface Area is expressed as Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+((Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar))^2). Here is an example- 18.54724 = sqrt((2*10^2)+((680/2-10^2)/(2*10))^2).

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

With Base Edges of Square Pillar (B_Edges) & Total Surface Area of Square Pillar (TSA) we can find Space Diagonal of Square Pillar given Total Surface Area using the formula - Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+((Total Surface Area of Square Pillar/2-Base Edges 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 Space Diagonal of Square Pillar?

Here are the different ways to Calculate Space Diagonal of Square Pillar-

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

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

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

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

Space Diagonal of Square Pillar 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 Space Diagonal of Square Pillar given Total Surface Area can be measured.

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Space Diagonal of Square Pillar given Total Surface Area Formula

​GoSpace Diagonal of Square Pillar Formula

​GoSpace Diagonal of Square Pillar given Volume Formula

Space Diagonal of Square Pillar given Total Surface Area Example

Space Diagonal of Square Pillar given Total Surface Area Solution

Space Diagonal of Square Pillar given Total Surface Area Formula Elements

Other Formulas to find Space Diagonal of Square Pillar

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

FAQs on Space Diagonal of Square Pillar given Total Surface Area

Variable Name

GoSpace Diagonal of Square Pillar Formula

GoSpace Diagonal of Square Pillar given Volume Formula