Base Edges of Square Pillar given Space Diagonal Calculator

✖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%
✖Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.ⓘ Height of Square Pillar [h]			+10% -10%

✖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 given Space Diagonal [B_Edges]

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Base Edges of Square Pillar given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Edges of Square Pillar = sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)
B_Edges = sqrt((d_Space^2-h^2)/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

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.
Height of Square Pillar - (Measured in Meter) - Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Square Pillar: 18 Meter --> 18 Meter No Conversion Required
Height of Square Pillar: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Edges = sqrt((d_Space^2-h^2)/2) --> sqrt((18^2-12^2)/2)

Evaluating ... ...

B_Edges = 9.48683298050514

STEP 3: Convert Result to Output's Unit

9.48683298050514 Meter --> No Conversion Required

FINAL ANSWER

9.48683298050514 ≈ 9.486833 Meter <-- Base Edges of Square Pillar

(Calculation completed in 00.011 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Base Edges of Square Pillar Calculators

Base Edges of Square Pillar given Space Diagonal

LaTeX Go Base Edges of Square Pillar = sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)

Base Edges of Square Pillar given Volume

LaTeX Go Base Edges of Square Pillar = sqrt(Volume of Square Pillar/Height of Square Pillar)

Base Edges of Square Pillar

LaTeX Go Base Edges of Square Pillar = sqrt(Volume of Square Pillar/Height of Square Pillar)

Base Edges of Square Pillar given Lateral Surface Area

LaTeX Go Base Edges of Square Pillar = Lateral Surface Area of Square Pillar/(4*Height of Square Pillar)

Base Edges of Square Pillar given Space Diagonal Formula

LaTeX Go

Base Edges of Square Pillar = sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)
B_Edges = sqrt((d_Space^2-h^2)/2)

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 Base Edges of Square Pillar given Space Diagonal?

Base Edges of Square Pillar given Space Diagonal calculator uses Base Edges of Square Pillar = sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2) to calculate the Base Edges of Square Pillar, The Base Edges of Square Pillar given Space Diagonal formula is defined as the measure of sides of the same length that are joined to form the Square Pillar, calculated using its space diagonal. Base Edges of Square Pillar is denoted by B_Edges symbol.

How to calculate Base Edges of Square Pillar given Space Diagonal using this online calculator? To use this online calculator for Base Edges of Square Pillar given Space Diagonal, enter Space Diagonal of Square Pillar (d_Space) & Height of Square Pillar (h) and hit the calculate button. Here is how the Base Edges of Square Pillar given Space Diagonal calculation can be explained with given input values -> 9.486833 = sqrt((18^2-12^2)/2).

FAQ

What is Base Edges of Square Pillar given Space Diagonal?

The Base Edges of Square Pillar given Space Diagonal formula is defined as the measure of sides of the same length that are joined to form the Square Pillar, calculated using its space diagonal and is represented as B_Edges = sqrt((d_Space^2-h^2)/2) or Base Edges of Square Pillar = sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2). Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar & Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.

How to calculate Base Edges of Square Pillar given Space Diagonal?

The Base Edges of Square Pillar given Space Diagonal formula is defined as the measure of sides of the same length that are joined to form the Square Pillar, calculated using its space diagonal is calculated using Base Edges of Square Pillar = sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2). To calculate Base Edges of Square Pillar given Space Diagonal, you need Space Diagonal of Square Pillar (d_Space) & Height of Square Pillar (h). With our tool, you need to enter the respective value for Space Diagonal of Square Pillar & Height 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 Base Edges of Square Pillar?

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

Base Edges of Square Pillar = sqrt(Volume of Square Pillar/Height of Square Pillar)
Base Edges of Square Pillar = sqrt(Volume of Square Pillar/Height of Square Pillar)
Base Edges of Square Pillar = Lateral Surface Area of Square Pillar/(4*Height of Square Pillar)

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