Width of Small Rectangle of Skewed Cuboid given Short Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
wSmall = sqrt(dShort^2-lSmall^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 Small Rectangle of Skewed Cuboid - (Measured in Meter) - The Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid.
Short Diagonal of Skewed Cuboid - (Measured in Meter) - The Short Diagonal of Skewed Cuboid is the length of shortest diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid.
Length of Small Rectangle of Skewed Cuboid - (Measured in Meter) - The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face 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
Short Diagonal of Skewed Cuboid: 14 Meter --> 14 Meter No Conversion Required
Length of Small Rectangle of Skewed Cuboid: 8 Meter --> 8 Meter No Conversion Required
Height of Skewed Cuboid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wSmall = sqrt(dShort^2-lSmall^2-h^2) --> sqrt(14^2-8^2-10^2)
Evaluating ... ...
wSmall = 5.65685424949238
STEP 3: Convert Result to Output's Unit
5.65685424949238 Meter --> No Conversion Required
FINAL ANSWER
5.65685424949238 5.656854 Meter <-- Width of Small Rectangle of Skewed Cuboid
(Calculation completed in 00.020 seconds)

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Width of Small Rectangle of Skewed Cuboid Calculators

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

Width of Small Rectangle of Skewed Cuboid given Short Diagonal Formula

​LaTeX ​Go
Width of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
wSmall = sqrt(dShort^2-lSmall^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 Small Rectangle of Skewed Cuboid given Short Diagonal?

Width of Small Rectangle of Skewed Cuboid given Short Diagonal calculator uses Width of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2) to calculate the Width of Small Rectangle of Skewed Cuboid, The Width of Small Rectangle of Skewed Cuboid given Short Diagonal formula is defined as the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid, and calculated using the short diagonal of Skewed Cuboid. Width of Small Rectangle of Skewed Cuboid is denoted by wSmall symbol.

How to calculate Width of Small Rectangle of Skewed Cuboid given Short Diagonal using this online calculator? To use this online calculator for Width of Small Rectangle of Skewed Cuboid given Short Diagonal, enter Short Diagonal of Skewed Cuboid (dShort), Length of Small Rectangle of Skewed Cuboid (lSmall) & Height of Skewed Cuboid (h) and hit the calculate button. Here is how the Width of Small Rectangle of Skewed Cuboid given Short Diagonal calculation can be explained with given input values -> 5.656854 = sqrt(14^2-8^2-10^2).

FAQ

What is Width of Small Rectangle of Skewed Cuboid given Short Diagonal?
The Width of Small Rectangle of Skewed Cuboid given Short Diagonal formula is defined as the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid, and calculated using the short diagonal of Skewed Cuboid and is represented as wSmall = sqrt(dShort^2-lSmall^2-h^2) or Width of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). The Short Diagonal of Skewed Cuboid is the length of shortest diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid, The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face 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 Small Rectangle of Skewed Cuboid given Short Diagonal?
The Width of Small Rectangle of Skewed Cuboid given Short Diagonal formula is defined as the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid, and calculated using the short diagonal of Skewed Cuboid is calculated using Width of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). To calculate Width of Small Rectangle of Skewed Cuboid given Short Diagonal, you need Short Diagonal of Skewed Cuboid (dShort), Length of Small Rectangle of Skewed Cuboid (lSmall) & Height of Skewed Cuboid (h). With our tool, you need to enter the respective value for Short Diagonal of Skewed Cuboid, Length of Small 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 Small Rectangle of Skewed Cuboid?
In this formula, Width of Small Rectangle of Skewed Cuboid uses Short Diagonal of Skewed Cuboid, Length of Small 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 Small Rectangle of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
  • Width of Small Rectangle of Skewed Cuboid = Top Face Area of Skewed Cuboid/Length of Small Rectangle of Skewed Cuboid
  • Width of Small Rectangle of Skewed Cuboid = (2*Left Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Width of Large Rectangle of Skewed Cuboid
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