Height of Square Pillar 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%
✖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%

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

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Formula

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Height of Square Pillar

Formula

`"h" = sqrt("d"_{"Space"}^2-(2*"B"_{"Edges"}^2))`

Example

`"11.13553m"=sqrt(("18m")^2-(2*("10m")^2))`

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Height of Square Pillar Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

h = 11.13552872566

STEP 3: Convert Result to Output's Unit

11.13552872566 Meter --> No Conversion Required

FINAL ANSWER

11.13552872566 ≈ 11.13553 Meter <-- Height of Square Pillar

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Height of Square Pillar Calculators

Height of Square Pillar given Total Surface Area

Go Height 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

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

Height of Square Pillar given Surface to Volume Ratio

Go Height of Square Pillar = 2/(Surface to Volume Ratio of Square Pillar-4/Base Edges of Square Pillar)

Height of Square Pillar given Volume

Go Height of Square Pillar = Volume of Square Pillar/(Base Edges of Square Pillar^2)

Height of Square Pillar Formula

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

Height of Square Pillar calculator uses Height of Square Pillar = sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)) to calculate the Height of Square Pillar, The Height of Square Pillar formula is defined as the measure of vertical distance from one top to bottom face of Square Pillar. Height of Square Pillar is denoted by h symbol.

How to calculate Height of Square Pillar using this online calculator? To use this online calculator for Height of Square Pillar, enter Space Diagonal of Square Pillar (d_Space) & Base Edges of Square Pillar (B_Edges) and hit the calculate button. Here is how the Height of Square Pillar calculation can be explained with given input values -> 11.13553 = sqrt(18^2-(2*10^2)).

FAQ

What is Height of Square Pillar?

The Height of Square Pillar formula is defined as the measure of vertical distance from one top to bottom face of Square Pillar and is represented as h = sqrt(d_Space^2-(2*B_Edges^2)) or Height of Square Pillar = sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)). Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar & Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.

How to calculate Height of Square Pillar?

The Height of Square Pillar formula is defined as the measure of vertical distance from one top to bottom face of Square Pillar is calculated using Height of Square Pillar = sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)). To calculate Height of Square Pillar, you need Space Diagonal of Square Pillar (d_Space) & Base Edges of Square Pillar (B_Edges). With our tool, you need to enter the respective value for Space Diagonal of Square Pillar & Base Edges 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 Height of Square Pillar?

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

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

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