Height of Square Pillar given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Square Pillar = (Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar)
h = (TSA/2-BEdges^2)/(2*BEdges)
This formula uses 3 Variables
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Square Pillar: 680 Square Meter --> 680 Square 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 = (TSA/2-BEdges^2)/(2*BEdges) --> (680/2-10^2)/(2*10)
Evaluating ... ...
h = 12
STEP 3: Convert Result to Output's Unit
12 Meter --> No Conversion Required
FINAL ANSWER
12 Meter <-- Height of Square Pillar
(Calculation completed in 00.004 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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Height of Square Pillar Calculators

Height of Square Pillar given Total Surface Area
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Height of Square Pillar = Volume of Square Pillar/(Base Edges of Square Pillar^2)

Height of Square Pillar given Total Surface Area Formula

​LaTeX ​Go
Height of Square Pillar = (Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar)
h = (TSA/2-BEdges^2)/(2*BEdges)

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 given Total Surface Area?

Height of Square Pillar given Total Surface Area calculator uses Height of Square Pillar = (Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar) to calculate the Height of Square Pillar, The Height of Square Pillar given Total Surface Area formula is defined as the measure of the vertical distance from one top to bottom face of the Square Pillar, calculated using its total surface area. Height of Square Pillar is denoted by h symbol.

How to calculate Height of Square Pillar given Total Surface Area using this online calculator? To use this online calculator for Height of Square Pillar given Total Surface Area, enter Total Surface Area of Square Pillar (TSA) & Base Edges of Square Pillar (BEdges) and hit the calculate button. Here is how the Height of Square Pillar given Total Surface Area calculation can be explained with given input values -> 12 = (680/2-10^2)/(2*10).

FAQ

What is Height of Square Pillar given Total Surface Area?
The Height of Square Pillar given Total Surface Area formula is defined as the measure of the vertical distance from one top to bottom face of the Square Pillar, calculated using its total surface area and is represented as h = (TSA/2-BEdges^2)/(2*BEdges) or Height of Square Pillar = (Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges 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 & 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 given Total Surface Area?
The Height of Square Pillar given Total Surface Area formula is defined as the measure of the vertical distance from one top to bottom face of the Square Pillar, calculated using its total surface area is calculated using Height of Square Pillar = (Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar). To calculate Height of Square Pillar given Total Surface Area, you need Total Surface Area of Square Pillar (TSA) & Base Edges of Square Pillar (BEdges). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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 = sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))
  • 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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