Lateral Surface Area of Cuboid given Total Surface Area, Length and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid))
LSA = 2*h*(l+(TSA/2-(h*l))/(h+l))
This formula uses 4 Variables
Variables Used
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.
Length of Cuboid - (Measured in Meter) - The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.
Total Surface Area of Cuboid - (Measured in Square Meter) - Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface of the Cuboid.
STEP 1: Convert Input(s) to Base Unit
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Total Surface Area of Cuboid: 450 Square Meter --> 450 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = 2*h*(l+(TSA/2-(h*l))/(h+l)) --> 2*8*(12+(450/2-(8*12))/(8+12))
Evaluating ... ...
LSA = 295.2
STEP 3: Convert Result to Output's Unit
295.2 Square Meter --> No Conversion Required
FINAL ANSWER
295.2 Square Meter <-- Lateral Surface Area of Cuboid
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Lateral Surface Area of Cuboid Calculators

Lateral Surface Area of Cuboid given Volume, Length and Height
​ LaTeX ​ Go Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Height of Cuboid))
Lateral Surface Area of Cuboid given Volume, Length and Width
​ LaTeX ​ Go Lateral Surface Area of Cuboid = 2*Volume of Cuboid/(Length of Cuboid*Width of Cuboid)*(Length of Cuboid+Width of Cuboid)
Lateral Surface Area of Cuboid given Volume, Width and Height
​ LaTeX ​ Go Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Volume of Cuboid/(Width of Cuboid*Height of Cuboid)+Width of Cuboid)
Lateral Surface Area of Cuboid
​ LaTeX ​ Go Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+Width of Cuboid)

Lateral Surface Area of Cuboid given Total Surface Area, Length and Height Formula

​LaTeX ​Go
Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid))
LSA = 2*h*(l+(TSA/2-(h*l))/(h+l))

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 Lateral Surface Area of Cuboid given Total Surface Area, Length and Height?

Lateral Surface Area of Cuboid given Total Surface Area, Length and Height calculator uses Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)) to calculate the Lateral Surface Area of Cuboid, The Lateral Surface Area of Cuboid given Total Surface Area, Length 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 Cuboid, and is calculated using the total surface area, length, and height of the Cuboid. Lateral Surface Area of Cuboid is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboid given Total Surface Area, Length and Height using this online calculator? To use this online calculator for Lateral Surface Area of Cuboid given Total Surface Area, Length and Height, enter Height of Cuboid (h), Length of Cuboid (l) & Total Surface Area of Cuboid (TSA) and hit the calculate button. Here is how the Lateral Surface Area of Cuboid given Total Surface Area, Length and Height calculation can be explained with given input values -> 295.2 = 2*8*(12+(450/2-(8*12))/(8+12)).

FAQ

What is Lateral Surface Area of Cuboid given Total Surface Area, Length and Height?
The Lateral Surface Area of Cuboid given Total Surface Area, Length 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 Cuboid, and is calculated using the total surface area, length, and height of the Cuboid and is represented as LSA = 2*h*(l+(TSA/2-(h*l))/(h+l)) or Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)). The Height of Cuboid is the vertical distance measured from base to the top of Cuboid, The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid & Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface of the Cuboid.
How to calculate Lateral Surface Area of Cuboid given Total Surface Area, Length and Height?
The Lateral Surface Area of Cuboid given Total Surface Area, Length 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 Cuboid, and is calculated using the total surface area, length, and height of the Cuboid is calculated using Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)). To calculate Lateral Surface Area of Cuboid given Total Surface Area, Length and Height, you need Height of Cuboid (h), Length of Cuboid (l) & Total Surface Area of Cuboid (TSA). With our tool, you need to enter the respective value for Height of Cuboid, Length of Cuboid & Total Surface Area 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 Lateral Surface Area of Cuboid?
In this formula, Lateral Surface Area of Cuboid uses Height of Cuboid, Length of Cuboid & Total Surface Area of Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+Width of Cuboid)
  • Lateral Surface Area of Cuboid = 2*Volume of Cuboid/(Length of Cuboid*Width of Cuboid)*(Length of Cuboid+Width of Cuboid)
  • Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+Volume of Cuboid/(Length of Cuboid*Height of Cuboid))
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