Volume of Square Pillar given Total 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%
✖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 [TSA]			+10% -10%

✖Volume of Square Pillar is the total amount of three-dimensional space enclosed by all the faces of the Square Pillar.ⓘ Volume of Square Pillar given Total Surface Area [V]

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Formula

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Volume of Square Pillar given Total Surface Area

Formula

`"V" = "B"_{"Edges"}*("TSA"/2-"B"_{"Edges"}^2)/2`

Example

`"1200m³"="10m"*("680m²"/2-("10m")^2)/2`

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Volume of Square Pillar given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Square Pillar = Base Edges of Square Pillar*(Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/2
V = B_Edges*(TSA/2-B_Edges^2)/2
This formula uses 3 Variables

Variables Used

Volume of Square Pillar - (Measured in Cubic Meter) - Volume of Square Pillar is the total amount of three-dimensional space enclosed 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.
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.

STEP 1: Convert Input(s) to Base Unit

Base Edges of Square Pillar: 10 Meter --> 10 Meter No Conversion Required
Total Surface Area of Square Pillar: 680 Square Meter --> 680 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = B_Edges*(TSA/2-B_Edges^2)/2 --> 10*(680/2-10^2)/2

Evaluating ... ...

V = 1200

STEP 3: Convert Result to Output's Unit

1200 Cubic Meter --> No Conversion Required

FINAL ANSWER

1200 Cubic Meter <-- Volume of Square Pillar

(Calculation completed in 00.004 seconds)

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< 5 Volume of Square Pillar Calculators

Volume of Square Pillar given Space Diagonal

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

Volume of Square Pillar given Surface to Volume Ratio

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

Volume of Square Pillar given Total Surface Area

Go Volume of Square Pillar = Base Edges of Square Pillar*(Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/2

Volume of Square Pillar given Lateral Surface Area

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

Volume of Square Pillar

Go Volume of Square Pillar = Base Edges of Square Pillar^2*Height of Square Pillar

Volume of Square Pillar given Total Surface Area Formula

Volume of Square Pillar = Base Edges of Square Pillar*(Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/2
V = B_Edges*(TSA/2-B_Edges^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 Volume of Square Pillar given Total Surface Area?

Volume of Square Pillar given Total Surface Area calculator uses Volume of Square Pillar = Base Edges of Square Pillar*(Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/2 to calculate the Volume of Square Pillar, The Volume of Square Pillar given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by the closed surface of the Square Pillar, calculated using its total surface area. Volume of Square Pillar is denoted by V symbol.

How to calculate Volume of Square Pillar given Total Surface Area using this online calculator? To use this online calculator for Volume of Square Pillar given Total Surface Area, enter Base Edges of Square Pillar (B_Edges) & Total Surface Area of Square Pillar (TSA) and hit the calculate button. Here is how the Volume of Square Pillar given Total Surface Area calculation can be explained with given input values -> 1200 = 10*(680/2-10^2)/2.

FAQ

What is Volume of Square Pillar given Total Surface Area?

The Volume of Square Pillar given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by the closed surface of the Square Pillar, calculated using its total surface area and is represented as V = B_Edges*(TSA/2-B_Edges^2)/2 or Volume of Square Pillar = Base Edges of Square Pillar*(Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/2. Base Edges of Square Pillar are the sides of the same length that are joined to form the 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.

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

The Volume of Square Pillar given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by the closed surface of the Square Pillar, calculated using its total surface area is calculated using Volume of Square Pillar = Base Edges of Square Pillar*(Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/2. To calculate Volume of Square Pillar given Total Surface Area, you need Base Edges of Square Pillar (B_Edges) & Total Surface Area of Square Pillar (TSA). With our tool, you need to enter the respective value for Base Edges of Square Pillar & Total 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 Volume of Square Pillar?

In this formula, Volume of Square Pillar uses Base Edges of Square Pillar & Total Surface Area of Square Pillar. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Square Pillar = Base Edges of Square Pillar^2*Height of Square Pillar
Volume of Square Pillar = Base Edges of Square Pillar^2*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))
Volume of Square Pillar = Base Edges of Square Pillar^2*2/(Surface to Volume Ratio of Square Pillar-4/Base Edges of Square Pillar)
Volume of Square Pillar = (Lateral Surface Area of Square Pillar*Base Edges of Square Pillar)/4

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