Volume of Square Pillar given Space Diagonal 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%
✖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%

✖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 Space Diagonal [V]

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Formula

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Volume of Square Pillar given Space Diagonal

Formula

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

Example

`"1113.553m³"=("10m")^2*sqrt(("18m")^2-(2*("10m")^2))`

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Volume of Square Pillar given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

V = 1113.552872566

STEP 3: Convert Result to Output's Unit

1113.552872566 Cubic Meter --> No Conversion Required

FINAL ANSWER

1113.552872566 ≈ 1113.553 Cubic Meter <-- Volume of Square Pillar

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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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 Space Diagonal Formula

Volume of Square Pillar = Base Edges of Square Pillar^2*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))
V = B_Edges^2*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 Volume of Square Pillar given Space Diagonal?

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

How to calculate Volume of Square Pillar given Space Diagonal using this online calculator? To use this online calculator for Volume of Square Pillar given Space Diagonal, enter Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space) and hit the calculate button. Here is how the Volume of Square Pillar given Space Diagonal calculation can be explained with given input values -> 1113.553 = 10^2*sqrt(18^2-(2*10^2)).

FAQ

What is Volume of Square Pillar given Space Diagonal?

The Volume of Square Pillar given Space Diagonal formula is defined as the quantity of three-dimensional space enclosed by the closed surface of the Square Pillar, calculated using its space diagonal and is represented as V = B_Edges^2*sqrt(d_Space^2-(2*B_Edges^2)) or Volume of Square Pillar = Base Edges of Square Pillar^2*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)). 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 is a straight line connecting two vertices that are not on the same face of the Square Pillar.

How to calculate Volume of Square Pillar given Space Diagonal?

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