Total Surface Area of Square Pillar given Lateral Surface Area 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%
✖Lateral Surface Area of Square Pillar is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar.ⓘ Lateral Surface Area of Square Pillar [LSA]			+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 Lateral Surface Area [TSA]

⎘ Copy

👎

Formula

✖

Total Surface Area of Square Pillar given Lateral Surface Area

Formula

`"TSA" = (2*"B"_{"Edges"}^2)+"LSA"`

Example

`"680m²"=(2*("10m")^2)+"480m²"`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Total Surface Area of Square Pillar given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Square Pillar = (2*Base Edges of Square Pillar^2)+Lateral Surface Area of Square Pillar
TSA = (2*B_Edges^2)+LSA
This formula uses 3 Variables

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.
Lateral Surface Area of Square Pillar - (Measured in Square Meter) - Lateral Surface Area of Square Pillar is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar.

STEP 1: Convert Input(s) to Base Unit

Base Edges of Square Pillar: 10 Meter --> 10 Meter No Conversion Required
Lateral Surface Area of Square Pillar: 480 Square Meter --> 480 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (2*B_Edges^2)+LSA --> (2*10^2)+480

Evaluating ... ...

TSA = 680

STEP 3: Convert Result to Output's Unit

680 Square Meter --> No Conversion Required

FINAL ANSWER

680 Square Meter <-- Total Surface Area of Square Pillar

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Square Pillar » Surface Area of Square Pillar » Total Surface Area of Square Pillar » Total Surface Area of Square Pillar given Lateral Surface Area

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

< 5 Total Surface Area of Square Pillar Calculators

Total Surface Area of Square Pillar given Space Diagonal

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

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

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

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 Lateral Surface Area

Go Total Surface Area of Square Pillar = (2*Base Edges of Square Pillar^2)+Lateral Surface Area of Square Pillar

Total Surface Area of Square Pillar given Lateral Surface Area Formula

Total Surface Area of Square Pillar = (2*Base Edges of Square Pillar^2)+Lateral Surface Area of Square Pillar
TSA = (2*B_Edges^2)+LSA

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 Lateral Surface Area?

Total Surface Area of Square Pillar given Lateral Surface Area calculator uses Total Surface Area of Square Pillar = (2*Base Edges of Square Pillar^2)+Lateral Surface Area of Square Pillar to calculate the Total Surface Area of Square Pillar, The Total Surface Area of Square Pillar given Lateral Surface Area 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 Lateral Surface Area using this online calculator? To use this online calculator for Total Surface Area of Square Pillar given Lateral Surface Area, enter Base Edges of Square Pillar (B_Edges) & Lateral Surface Area of Square Pillar (LSA) and hit the calculate button. Here is how the Total Surface Area of Square Pillar given Lateral Surface Area calculation can be explained with given input values -> 680 = (2*10^2)+480.

FAQ

What is Total Surface Area of Square Pillar given Lateral Surface Area?

The Total Surface Area of Square Pillar given Lateral Surface Area 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)+LSA or Total Surface Area of Square Pillar = (2*Base Edges of Square Pillar^2)+Lateral Surface Area of Square Pillar. Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar & Lateral Surface Area of Square Pillar is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar.

How to calculate Total Surface Area of Square Pillar given Lateral Surface Area?

The Total Surface Area of Square Pillar given Lateral Surface Area 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)+Lateral Surface Area of Square Pillar. To calculate Total Surface Area of Square Pillar given Lateral Surface Area, you need Base Edges of Square Pillar (B_Edges) & Lateral Surface Area of Square Pillar (LSA). With our tool, you need to enter the respective value for Base Edges of Square Pillar & Lateral Surface Area 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 & Lateral Surface Area of Square Pillar. We can use 4 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*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 = 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))

Home

FREE PDFs

🔍 Search