Lateral Surface Area of Square Pillar given Space Diagonal and Height Calculator

✖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%
✖Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.ⓘ Height of Square Pillar [h]			+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 Height [LSA]

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Lateral Surface Area of Square Pillar given Space Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar
LSA = 4*sqrt((d_Space^2-h^2)/2)*h
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.
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.
Height of Square Pillar - (Measured in Meter) - Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Square Pillar: 18 Meter --> 18 Meter No Conversion Required
Height of Square Pillar: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 4*sqrt((d_Space^2-h^2)/2)*h --> 4*sqrt((18^2-12^2)/2)*12

Evaluating ... ...

LSA = 455.367983064247

STEP 3: Convert Result to Output's Unit

455.367983064247 Square Meter --> No Conversion Required

FINAL ANSWER

455.367983064247 ≈ 455.368 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 Height Formula

LaTeX Go

Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar
LSA = 4*sqrt((d_Space^2-h^2)/2)*h

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 Height?

Lateral Surface Area of Square Pillar given Space Diagonal and Height calculator uses Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar to calculate the Lateral Surface Area of Square Pillar, The Lateral Surface Area of Square Pillar given Space Diagonal and Height 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 height 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 Height using this online calculator? To use this online calculator for Lateral Surface Area of Square Pillar given Space Diagonal and Height, enter Space Diagonal of Square Pillar (d_Space) & Height of Square Pillar (h) and hit the calculate button. Here is how the Lateral Surface Area of Square Pillar given Space Diagonal and Height calculation can be explained with given input values -> 455.368 = 4*sqrt((18^2-12^2)/2)*12.

FAQ

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

The Lateral Surface Area of Square Pillar given Space Diagonal and Height 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 height of Square Pillar and is represented as LSA = 4*sqrt((d_Space^2-h^2)/2)*h or Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of 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 & Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.

How to calculate Lateral Surface Area of Square Pillar given Space Diagonal and Height?

The Lateral Surface Area of Square Pillar given Space Diagonal and Height 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 height of Square Pillar is calculated using Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar. To calculate Lateral Surface Area of Square Pillar given Space Diagonal and Height, you need Space Diagonal of Square Pillar (d_Space) & Height of Square Pillar (h). With our tool, you need to enter the respective value for Space Diagonal of Square Pillar & Height 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 Space Diagonal of Square Pillar & Height 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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