Width of Large Rectangle of Skewed Cuboid given Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
wLarge = sqrt(dLong^2-lLarge^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
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.
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.
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.
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
Length of Large Rectangle of Skewed Cuboid: 20 Meter --> 20 Meter No Conversion Required
Height of Skewed Cuboid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wLarge = sqrt(dLong^2-lLarge^2-h^2) --> sqrt(27^2-20^2-10^2)
Evaluating ... ...
wLarge = 15.1327459504216
STEP 3: Convert Result to Output's Unit
15.1327459504216 Meter --> No Conversion Required
FINAL ANSWER
15.1327459504216 15.13275 Meter <-- Width of Large Rectangle of Skewed Cuboid
(Calculation completed in 00.004 seconds)

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Width of Large Rectangle of Skewed Cuboid Calculators

Width of Large Rectangle of Skewed Cuboid given First Medium Diagonal
​ LaTeX ​ Go Width of Large Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Width of Large Rectangle of Skewed Cuboid given Long Diagonal
​ LaTeX ​ Go Width of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Width of Large Rectangle of Skewed Cuboid given Left Face Area
​ LaTeX ​ Go Width of Large Rectangle of Skewed Cuboid = (2*Left Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid
Width of Large Rectangle of Skewed Cuboid given Bottom Face Area
​ LaTeX ​ Go Width of Large Rectangle of Skewed Cuboid = Bottom Face Area of Skewed Cuboid/Length of Large Rectangle of Skewed Cuboid

Width of Large Rectangle of Skewed Cuboid given Long Diagonal Formula

​LaTeX ​Go
Width of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
wLarge = sqrt(dLong^2-lLarge^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 Width of Large Rectangle of Skewed Cuboid given Long Diagonal?

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

How to calculate Width of Large Rectangle of Skewed Cuboid given Long Diagonal using this online calculator? To use this online calculator for Width of Large Rectangle of Skewed Cuboid given Long Diagonal, enter Long Diagonal of Skewed Cuboid (dLong), Length of Large Rectangle of Skewed Cuboid (lLarge) & Height of Skewed Cuboid (h) and hit the calculate button. Here is how the Width of Large Rectangle of Skewed Cuboid given Long Diagonal calculation can be explained with given input values -> 15.13275 = sqrt(27^2-20^2-10^2).

FAQ

What is Width of Large Rectangle of Skewed Cuboid given Long Diagonal?
The Width of Large Rectangle of Skewed Cuboid given Long Diagonal formula is defined as the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid and is represented as wLarge = sqrt(dLong^2-lLarge^2-h^2) or Width of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Length 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 Length of Large Rectangle of Skewed Cuboid is the length of the longer 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 Width of Large Rectangle of Skewed Cuboid given Long Diagonal?
The Width of Large Rectangle of Skewed Cuboid given Long Diagonal formula is defined as the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid is calculated using Width of Large Rectangle of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). To calculate Width of Large Rectangle of Skewed Cuboid given Long Diagonal, you need Long Diagonal of Skewed Cuboid (dLong), Length of Large Rectangle of Skewed Cuboid (lLarge) & Height of Skewed Cuboid (h). With our tool, you need to enter the respective value for Long Diagonal of Skewed Cuboid, Length 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 Width of Large Rectangle of Skewed Cuboid?
In this formula, Width of Large Rectangle of Skewed Cuboid uses Long Diagonal of Skewed Cuboid, Length of Large Rectangle of Skewed Cuboid & Height of Skewed Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width of Large Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
  • Width of Large Rectangle of Skewed Cuboid = Bottom Face Area of Skewed Cuboid/Length of Large Rectangle of Skewed Cuboid
  • Width of Large Rectangle of Skewed Cuboid = (2*Left Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid
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