## Lateral Surface Area of Cuboid given Space Diagonal, Length and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))
LSA = 2*h*(l+sqrt(dSpace^2-l^2-h^2))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
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.
Space Diagonal of Cuboid - (Measured in Meter) - The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior 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
Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = 2*h*(l+sqrt(dSpace^2-l^2-h^2)) --> 2*8*(12+sqrt(16^2-12^2-8^2))
Evaluating ... ...
LSA = 302.851251684408
STEP 3: Convert Result to Output's Unit
302.851251684408 Square Meter --> No Conversion Required
302.851251684408 302.8513 Square Meter <-- Lateral Surface Area of Cuboid
(Calculation completed in 00.012 seconds)
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## < 12 Lateral Surface Area of Cuboid Calculators

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

## Lateral Surface Area of Cuboid given Space Diagonal, Length and Height Formula

Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))
LSA = 2*h*(l+sqrt(dSpace^2-l^2-h^2))

## 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 Space Diagonal, Length and Height?

Lateral Surface Area of Cuboid given Space Diagonal, Length and Height calculator uses Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)) to calculate the Lateral Surface Area of Cuboid, The Lateral Surface Area of Cuboid given Space Diagonal, 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 space diagonal, 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 Space Diagonal, Length and Height using this online calculator? To use this online calculator for Lateral Surface Area of Cuboid given Space Diagonal, Length and Height, enter Height of Cuboid (h), Length of Cuboid (l) & Space Diagonal of Cuboid (dSpace) and hit the calculate button. Here is how the Lateral Surface Area of Cuboid given Space Diagonal, Length and Height calculation can be explained with given input values -> 302.8513 = 2*8*(12+sqrt(16^2-12^2-8^2)).

### FAQ

What is Lateral Surface Area of Cuboid given Space Diagonal, Length and Height?
The Lateral Surface Area of Cuboid given Space Diagonal, 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 space diagonal, length, and height of the Cuboid and is represented as LSA = 2*h*(l+sqrt(dSpace^2-l^2-h^2)) or Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)). 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 & The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.
How to calculate Lateral Surface Area of Cuboid given Space Diagonal, Length and Height?
The Lateral Surface Area of Cuboid given Space Diagonal, 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 space diagonal, length, and height of the Cuboid is calculated using Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)). To calculate Lateral Surface Area of Cuboid given Space Diagonal, Length and Height, you need Height of Cuboid (h), Length of Cuboid (l) & Space Diagonal of Cuboid (dSpace). With our tool, you need to enter the respective value for Height of Cuboid, Length of Cuboid & Space Diagonal 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 & Space Diagonal of Cuboid. We can use 12 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))
• 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 = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid)
• Lateral Surface Area of Cuboid = 2*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)*(Length of Cuboid+Width of Cuboid)
• Lateral Surface Area of Cuboid = 2*Height of Cuboid*((Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)+Width of Cuboid)
• 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))
• Lateral Surface Area of Cuboid = Total Surface Area of Cuboid-(2*Length of Cuboid*Width of Cuboid)
• Lateral Surface Area of Cuboid = 2*Height of Cuboid*((Perimeter of Cuboid-(4*(Width of Cuboid+Height of Cuboid)))/4+Width of Cuboid)
• Lateral Surface Area of Cuboid = 2*Height of Cuboid*(Length of Cuboid+(Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)
• Lateral Surface Area of Cuboid = (Perimeter of Cuboid-(4*(Length of Cuboid+Width of Cuboid)))/2*(Length of Cuboid+Width of Cuboid) Let Others Know