Perimeter of Cuboid given Lateral Surface Area and Height Calculator

✖The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.ⓘ Lateral Surface Area of Cuboid [LSA]			+10% -10%
✖The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%

✖Perimeter of Cuboid is the total distance around all the edges of the Cuboid.ⓘ Perimeter of Cuboid given Lateral Surface Area and Height [P]

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Formula

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Perimeter of Cuboid given Lateral Surface Area and Height

Formula

`"P" = 4*("LSA"/(2*"h")+"h")`

Example

`"107m"=4*("300m²"/(2*"8m")+"8m")`

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Perimeter of Cuboid given Lateral Surface Area and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid)
P = 4*(LSA/(2*h)+h)
This formula uses 3 Variables

Variables Used

Perimeter of Cuboid - (Measured in Meter) - Perimeter of Cuboid is the total distance around all the edges of the Cuboid.
Lateral Surface Area of Cuboid - (Measured in Square Meter) - The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.
Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cuboid: 300 Square Meter --> 300 Square Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*(LSA/(2*h)+h) --> 4*(300/(2*8)+8)

Evaluating ... ...

P = 107

STEP 3: Convert Result to Output's Unit

107 Meter --> No Conversion Required

FINAL ANSWER

107 Meter <-- Perimeter of Cuboid

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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The National Institute of Engineering (NIE), Mysuru

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< 15 Perimeter of Cuboid Calculators

Perimeter of Cuboid given Surface to Volume Ratio, Height and Length

Go Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+(Length of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Length of Cuboid*Height of Cuboid)/2-(Length of Cuboid+Height of Cuboid)))

Perimeter of Cuboid given Surface to Volume Ratio, Height and Width

Go Perimeter of Cuboid = 4*((Width of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Height of Cuboid)/2-(Width of Cuboid+Height of Cuboid))+Height of Cuboid+Width of Cuboid)

Perimeter of Cuboid given Surface to Volume Ratio, Length and Width

Go Perimeter of Cuboid = 4*(Length of Cuboid+(Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid))+Width of Cuboid)

Perimeter of Cuboid given Total Surface Area, Height, and Length

Go Perimeter of Cuboid = 4*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)+Height of Cuboid)

Perimeter of Cuboid given Total Surface Area, Height, and Width

Go Perimeter of Cuboid = 4*((Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid given Total Surface Area, Length, and Width

Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))

Perimeter of Cuboid given Space Diagonal, Height, and Length

Go Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid)

Perimeter of Cuboid given Space Diagonal, Height, and Width

Go Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid given Space Diagonal, Length, and Width

Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2))

Perimeter of Cuboid given Lateral Surface Area, Length, and Width

Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))

Perimeter of Cuboid given Volume, Height and Length

Go Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+Volume of Cuboid/(Length of Cuboid*Height of Cuboid))

Perimeter of Cuboid given Volume, Height and Width

Go Perimeter of Cuboid = 4*(Volume of Cuboid/(Width of Cuboid*Height of Cuboid)+Height of Cuboid+Width of Cuboid)

Perimeter of Cuboid given Volume, Length and Width

Go Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width of Cuboid)+Width of Cuboid)

Perimeter of Cuboid given Lateral Surface Area and Height

Go Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid)

Perimeter of Cuboid

Go Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Height of Cuboid)

Perimeter of Cuboid given Lateral Surface Area and Height Formula

Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid)
P = 4*(LSA/(2*h)+h)

What is a Cuboid?

In geometry, a Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. While mathematical literature refers to any such polyhedron as a cuboid, other sources use "cuboid" to refer to a shape of this type in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.

How to Calculate Perimeter of Cuboid given Lateral Surface Area and Height?

Perimeter of Cuboid given Lateral Surface Area and Height calculator uses Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid) to calculate the Perimeter of Cuboid, The Perimeter of Cuboid given Lateral Surface Area and Height formula is defined as the total distance around the edge of the Cuboid, and is calculated using the lateral surface area, and height of the Cuboid. Perimeter of Cuboid is denoted by P symbol.

How to calculate Perimeter of Cuboid given Lateral Surface Area and Height using this online calculator? To use this online calculator for Perimeter of Cuboid given Lateral Surface Area and Height, enter Lateral Surface Area of Cuboid (LSA) & Height of Cuboid (h) and hit the calculate button. Here is how the Perimeter of Cuboid given Lateral Surface Area and Height calculation can be explained with given input values -> 107 = 4*(300/(2*8)+8).

FAQ

What is Perimeter of Cuboid given Lateral Surface Area and Height?

The Perimeter of Cuboid given Lateral Surface Area and Height formula is defined as the total distance around the edge of the Cuboid, and is calculated using the lateral surface area, and height of the Cuboid and is represented as P = 4*(LSA/(2*h)+h) or Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid). The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid & The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

How to calculate Perimeter of Cuboid given Lateral Surface Area and Height?

The Perimeter of Cuboid given Lateral Surface Area and Height formula is defined as the total distance around the edge of the Cuboid, and is calculated using the lateral surface area, and height of the Cuboid is calculated using Perimeter of Cuboid = 4*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)+Height of Cuboid). To calculate Perimeter of Cuboid given Lateral Surface Area and Height, you need Lateral Surface Area of Cuboid (LSA) & Height of Cuboid (h). With our tool, you need to enter the respective value for Lateral Surface Area of Cuboid & Height of Cuboid 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 Perimeter of Cuboid?

In this formula, Perimeter of Cuboid uses Lateral Surface Area of Cuboid & Height of Cuboid. We can use 14 other way(s) to calculate the same, which is/are as follows -

Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Height of Cuboid)
Perimeter of Cuboid = 4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid)
Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid)
Perimeter of Cuboid = 4*((Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)+Width of Cuboid+Height of Cuboid)
Perimeter of Cuboid = 4*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)+Height of Cuboid)
Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))
Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))
Perimeter of Cuboid = 4*(Length of Cuboid+Width of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2))
Perimeter of Cuboid = 4*(Volume of Cuboid/(Width of Cuboid*Height of Cuboid)+Height of Cuboid+Width of Cuboid)
Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+Volume of Cuboid/(Length of Cuboid*Height of Cuboid))
Perimeter of Cuboid = 4*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Width of Cuboid)+Width of Cuboid)
Perimeter of Cuboid = 4*((Width of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Height of Cuboid)/2-(Width of Cuboid+Height of Cuboid))+Height of Cuboid+Width of Cuboid)
Perimeter of Cuboid = 4*(Length of Cuboid+Height of Cuboid+(Length of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Length of Cuboid*Height of Cuboid)/2-(Length of Cuboid+Height of Cuboid)))
Perimeter of Cuboid = 4*(Length of Cuboid+(Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid))+Width of Cuboid)

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