Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge 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%

✖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 given Space Diagonal and Base Edge [LSA]

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Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))
LSA = 4*B_Edges*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

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.
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

LSA = 4*B_Edges*sqrt(d_Space^2-(2*B_Edges^2)) --> 4*10*sqrt(18^2-(2*10^2))

Evaluating ... ...

LSA = 445.421149026402

STEP 3: Convert Result to Output's Unit

445.421149026402 Square Meter --> No Conversion Required

FINAL ANSWER

445.421149026402 ≈ 445.4211 Square Meter <-- Lateral Surface Area of Square Pillar

(Calculation completed in 00.004 seconds)

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< Lateral Surface Area of Square Pillar Calculators

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge

LaTeX Go Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))

Lateral Surface Area of Square Pillar given Total Surface Area

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

Lateral Surface Area of Square Pillar given Volume

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

Lateral Surface Area of Square Pillar

LaTeX Go Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*Height of Square Pillar

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Formula

LaTeX Go

Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2))
LSA = 4*B_Edges*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 Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge calculator uses Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)) to calculate the Lateral Surface Area of Square Pillar, The Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar, and calculated using the space diagonal and base edge of Square Pillar. Lateral Surface Area of Square Pillar is denoted by LSA symbol.

How to calculate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge using this online calculator? To use this online calculator for Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge, enter Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space) and hit the calculate button. Here is how the Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge calculation can be explained with given input values -> 445.4211 = 4*10*sqrt(18^2-(2*10^2)).

FAQ

What is Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

The Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar, and calculated using the space diagonal and base edge of Square Pillar and is represented as LSA = 4*B_Edges*sqrt(d_Space^2-(2*B_Edges^2)) or Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*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 Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

The Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar, and calculated using the space diagonal and base edge of Square Pillar is calculated using Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)). To calculate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge, 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 Lateral Surface Area of Square Pillar?

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

Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*Height of Square Pillar
Lateral Surface Area of Square Pillar = Total Surface Area of Square Pillar-(2*Base Edges of Square Pillar^2)
Lateral Surface Area of Square Pillar = (4*Volume of Square Pillar)/Base Edges of Square Pillar

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