Length of Large Rectangle of Skewed Cuboid given Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
lLarge = sqrt(dLong^2-wLarge^2-h^2)
This formula uses 1 Functions, 4 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
Length of Large Rectangle of Skewed Cuboid - (Measured in Meter) - The Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of Skewed Cuboid.
Long Diagonal of Skewed Cuboid - (Measured in Meter) - The Long Diagonal of Skewed Cuboid is the length of longest diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid.
Width of Large Rectangle of Skewed Cuboid - (Measured in Meter) - The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid.
Height of Skewed Cuboid - (Measured in Meter) - The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.
STEP 1: Convert Input(s) to Base Unit
Long Diagonal of Skewed Cuboid: 27 Meter --> 27 Meter No Conversion Required
Width of Large Rectangle of Skewed Cuboid: 15 Meter --> 15 Meter No Conversion Required
Height of Skewed Cuboid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lLarge = sqrt(dLong^2-wLarge^2-h^2) --> sqrt(27^2-15^2-10^2)
Evaluating ... ...
lLarge = 20.0997512422418
STEP 3: Convert Result to Output's Unit
20.0997512422418 Meter --> No Conversion Required
FINAL ANSWER
20.0997512422418 20.09975 Meter <-- Length of Large Rectangle of Skewed Cuboid
(Calculation completed in 00.004 seconds)

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5 Length of Large Rectangle of Skewed Cuboid Calculators

Length of Large Rectangle of Skewed Cuboid given Second Medium Diagonal
Go Length of Large Rectangle of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Length of Large Rectangle of Skewed Cuboid given Long Diagonal
Go Length of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Length of Large Rectangle of Skewed Cuboid given Front Face Area
Go Length of Large Rectangle of Skewed Cuboid = (2*Front Face Area of Skewed Cuboid)/Left Skewed Edge of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid
Length of Large Rectangle of Skewed Cuboid given Back Face Area
Go Length of Large Rectangle of Skewed Cuboid = (2*Back Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid
Length of Large Rectangle of Skewed Cuboid given Bottom Face Area
Go Length of Large Rectangle of Skewed Cuboid = Bottom Face Area of Skewed Cuboid/Width of Large Rectangle of Skewed Cuboid

Length of Large Rectangle of Skewed Cuboid given Long Diagonal Formula

Length of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
lLarge = sqrt(dLong^2-wLarge^2-h^2)

What is a Skewed Cuboid?

A Skewed Cuboid is a hexahedron with two opposite rectangles, where one vertex is right above the other. One of the rectangles (here the bottom) has length and width larger or equal than the other. Other faces are right trapezoids. Front and right face are skewed. The volume is calculated from the cuboid of the smaller rectangle, two ramps and one corner.

How to Calculate Length of Large Rectangle of Skewed Cuboid given Long Diagonal?

Length of Large Rectangle of Skewed Cuboid given Long Diagonal calculator uses Length of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2) to calculate the Length of Large Rectangle of Skewed Cuboid, The Length of Large Rectangle of Skewed Cuboid given Long Diagonal formula is defined as the length of the longer edge of the larger rectangular base surface of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid. Length of Large Rectangle of Skewed Cuboid is denoted by lLarge symbol.

How to calculate Length of Large Rectangle of Skewed Cuboid given Long Diagonal using this online calculator? To use this online calculator for Length of Large Rectangle of Skewed Cuboid given Long Diagonal, enter Long Diagonal of Skewed Cuboid (dLong), Width of Large Rectangle of Skewed Cuboid (wLarge) & Height of Skewed Cuboid (h) and hit the calculate button. Here is how the Length of Large Rectangle of Skewed Cuboid given Long Diagonal calculation can be explained with given input values -> 20.09975 = sqrt(27^2-15^2-10^2).

FAQ

What is Length of Large Rectangle of Skewed Cuboid given Long Diagonal?
The Length of Large Rectangle of Skewed Cuboid given Long Diagonal formula is defined as the length of the longer edge of the larger rectangular base surface of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid and is represented as lLarge = sqrt(dLong^2-wLarge^2-h^2) or Length of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). The Long Diagonal of Skewed Cuboid is the length of longest diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid, The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid & The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.
How to calculate Length of Large Rectangle of Skewed Cuboid given Long Diagonal?
The Length of Large Rectangle of Skewed Cuboid given Long Diagonal formula is defined as the length of the longer edge of the larger rectangular base surface of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid is calculated using Length of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). To calculate Length of Large Rectangle of Skewed Cuboid given Long Diagonal, you need Long Diagonal of Skewed Cuboid (dLong), Width of Large Rectangle of Skewed Cuboid (wLarge) & Height of Skewed Cuboid (h). With our tool, you need to enter the respective value for Long Diagonal of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Height of Skewed 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 Length of Large Rectangle of Skewed Cuboid?
In this formula, Length of Large Rectangle of Skewed Cuboid uses Long Diagonal of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Height of Skewed Cuboid. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Length of Large Rectangle of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
  • Length of Large Rectangle of Skewed Cuboid = Bottom Face Area of Skewed Cuboid/Width of Large Rectangle of Skewed Cuboid
  • Length of Large Rectangle of Skewed Cuboid = (2*Back Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid
  • Length of Large Rectangle of Skewed Cuboid = (2*Front Face Area of Skewed Cuboid)/Left Skewed Edge of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid
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