Space Diagonal of Square Pillar given Volume 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%
✖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 [V]			+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 given Volume [d_Space]

⎘ Copy

👎

Formula

✖

Space Diagonal of Square Pillar given Volume

Formula

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

Example

`"18.54724m"=sqrt((2*("10m")^2)+("1200m³"/(("10m")^2))^2)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Space Diagonal of Square Pillar given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Base Edges of Square Pillar: 10 Meter --> 10 Meter No Conversion Required
Volume of Square Pillar: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt((2*B_Edges^2)+(V/(B_Edges^2))^2) --> sqrt((2*10^2)+(1200/(10^2))^2)

Evaluating ... ...

d_Space = 18.5472369909914

STEP 3: Convert Result to Output's Unit

18.5472369909914 Meter --> No Conversion Required

FINAL ANSWER

18.5472369909914 ≈ 18.54724 Meter <-- Space Diagonal of Square Pillar

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Square Pillar » Space Diagonal of Square Pillar » Space Diagonal of Square Pillar given Volume

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 4 Space Diagonal of Square Pillar Calculators

Space Diagonal of Square Pillar given Total Surface Area

Go Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+((Total Surface Area of Square Pillar/2-Base Edges of Square Pillar^2)/(2*Base Edges of Square Pillar))^2)

Space Diagonal of Square Pillar given Surface to Volume Ratio

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

Space Diagonal of Square Pillar given Volume

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

Space Diagonal of Square Pillar

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

Space Diagonal of Square Pillar given Volume Formula

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

Space Diagonal of Square Pillar given Volume calculator uses Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+(Volume of Square Pillar/(Base Edges of Square Pillar^2))^2) to calculate the Space Diagonal of Square Pillar, The Space Diagonal of Square Pillar given Volume formula is defined as a straight line joining two opposite corners of a Square Pillar, calculated using its volume. Space Diagonal of Square Pillar is denoted by d_Space symbol.

How to calculate Space Diagonal of Square Pillar given Volume using this online calculator? To use this online calculator for Space Diagonal of Square Pillar given Volume, enter Base Edges of Square Pillar (B_Edges) & Volume of Square Pillar (V) and hit the calculate button. Here is how the Space Diagonal of Square Pillar given Volume calculation can be explained with given input values -> 18.54724 = sqrt((2*10^2)+(1200/(10^2))^2).

FAQ

What is Space Diagonal of Square Pillar given Volume?

The Space Diagonal of Square Pillar given Volume formula is defined as a straight line joining two opposite corners of a Square Pillar, calculated using its volume and is represented as d_Space = sqrt((2*B_Edges^2)+(V/(B_Edges^2))^2) or Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+(Volume of Square Pillar/(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 & Volume of Square Pillar is the total amount of three-dimensional space enclosed by all the faces of the Square Pillar.

How to calculate Space Diagonal of Square Pillar given Volume?

The Space Diagonal of Square Pillar given Volume formula is defined as a straight line joining two opposite corners of a Square Pillar, calculated using its volume is calculated using Space Diagonal of Square Pillar = sqrt((2*Base Edges of Square Pillar^2)+(Volume of Square Pillar/(Base Edges of Square Pillar^2))^2). To calculate Space Diagonal of Square Pillar given Volume, you need Base Edges of Square Pillar (B_Edges) & Volume of Square Pillar (V). With our tool, you need to enter the respective value for Base Edges of Square Pillar & Volume 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 Space Diagonal of Square Pillar?

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

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

Home

FREE PDFs

🔍 Search