Total Surface Area of Square Pillar given Space Diagonal Calculator

✖Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.ⓘ Base Edges of Square Pillar [B_Edges]			+10% -10%
✖Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar.ⓘ Space Diagonal of Square Pillar [d_Space]			+10% -10%

✖Total Surface Area of Square Pillar is the total amount of two-dimensional space occupied by all the faces of the Square Pillar.ⓘ Total Surface Area of Square Pillar given Space Diagonal [TSA]

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Total Surface Area of Square Pillar given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
TSA = 2*(B_Edges^2+(2*B_Edges*sqrt(d_Space^2-(2*B_Edges^2))))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Total Surface Area of Square Pillar - (Measured in Square Meter) - Total Surface Area of Square Pillar is the total amount of two-dimensional space occupied by all the faces of the Square Pillar.
Base Edges of Square Pillar - (Measured in Meter) - Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.
Space Diagonal of Square Pillar - (Measured in Meter) - Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar.

STEP 1: Convert Input(s) to Base Unit

Base Edges of Square Pillar: 10 Meter --> 10 Meter No Conversion Required
Space Diagonal of Square Pillar: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(B_Edges^2+(2*B_Edges*sqrt(d_Space^2-(2*B_Edges^2)))) --> 2*(10^2+(2*10*sqrt(18^2-(2*10^2))))

Evaluating ... ...

TSA = 645.421149026402

STEP 3: Convert Result to Output's Unit

645.421149026402 Square Meter --> No Conversion Required

FINAL ANSWER

645.421149026402 ≈ 645.4211 Square Meter <-- Total Surface Area of Square Pillar

(Calculation completed in 00.020 seconds)

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< Total Surface Area of Square Pillar Calculators

Total Surface Area of Square Pillar given Space Diagonal

LaTeX Go 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))))

Total Surface Area of Square Pillar given Surface to Volume Ratio

LaTeX Go 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))

Total Surface Area of Square Pillar given Volume

LaTeX Go 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

LaTeX Go 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 given Space Diagonal Formula

LaTeX Go

What is a Square Pillar?

A pillar is a large, typically cylindrical or square, solid structure that stands upright as support in a home or building, either structurally or aesthetically. A rectangular cuboidal pillar with two edges of the same length is a Square Pillar. Different types of Square pillar are, Romanesque, Fluted, Tapered, and Brick.

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

Total Surface Area of Square Pillar given Space Diagonal calculator 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 calculate 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 calculate Total Surface Area of Square Pillar given Space Diagonal using this online calculator? To use this online calculator 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. Here is how the Total Surface Area of Square Pillar given Space Diagonal calculation can be explained with given input values -> 645.4211 = 2*(10^2+(2*10*sqrt(18^2-(2*10^2)))).

FAQ

What is Total Surface Area of Square Pillar given Space Diagonal?

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 and is represented as TSA = 2*(B_Edges^2+(2*B_Edges*sqrt(d_Space^2-(2*B_Edges^2)))) or 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)))). Base Edges of Square Pillar are the sides of the same length that are joined to form the 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.

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

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 is calculated using 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 calculate Total Surface Area of Square Pillar given Space Diagonal, you need Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space). With our tool, you need to enter the respective value for Base Edges of Square Pillar & Space Diagonal of Square Pillar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Square Pillar?

In this formula, Total Surface Area of Square Pillar uses Base Edges of Square Pillar & Space Diagonal of Square Pillar. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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