Height of Skewed Cuboid given Long Diagonal Calculator

✖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.ⓘ Long Diagonal of Skewed Cuboid [d_Long]			+10% -10%
✖The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid.ⓘ Width of Large Rectangle of Skewed Cuboid [w_Large]			+10% -10%
✖The Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of Skewed Cuboid.ⓘ Length of Large Rectangle of Skewed Cuboid [l_Large]			+10% -10%

✖The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.ⓘ Height of Skewed Cuboid given Long Diagonal [h]

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Formula

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Height of Skewed Cuboid given Long Diagonal

Formula

`"h" = sqrt("d"_{"Long"}^2-"w"_{"Large"}^2-"l"_{"Large"}^2)`

Example

`"10.19804m"=sqrt(("27m")^2-("15m")^2-("20m")^2)`

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Height of Skewed Cuboid given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2)
h = sqrt(d_Long^2-w_Large^2-l_Large^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

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.
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.
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.

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
Length of Large Rectangle of Skewed Cuboid: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(d_Long^2-w_Large^2-l_Large^2) --> sqrt(27^2-15^2-20^2)

Evaluating ... ...

h = 10.1980390271856

STEP 3: Convert Result to Output's Unit

10.1980390271856 Meter --> No Conversion Required

FINAL ANSWER

10.1980390271856 ≈ 10.19804 Meter <-- Height of Skewed Cuboid

(Calculation completed in 00.004 seconds)

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< 9 Height of Skewed Cuboid Calculators

Height of Skewed Cuboid given Volume

Go Height of Skewed Cuboid = Volume of Skewed Cuboid/((Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid)+((Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)/6))

Height of Skewed Cuboid given Middle Skewed Edge

Go Height of Skewed Cuboid = sqrt(Middle Skewed Edge of Skewed Cuboid^2-(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)^2-(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)^2)

Height of Skewed Cuboid given Second Medium Diagonal

Go Height of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given First Medium Diagonal

Go Height of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given Left Skewed Edge

Go Height of Skewed Cuboid = sqrt(Left Skewed Edge of Skewed Cuboid^2-(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)^2)

Height of Skewed Cuboid given Short Diagonal

Go Height of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given Long Diagonal

Go Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given Back Face Area

Go Height of Skewed Cuboid = (Back Face Area of Skewed Cuboid*2)/(Length of Small Rectangle of Skewed Cuboid+Length of Large Rectangle of Skewed Cuboid)

Height of Skewed Cuboid given Left Face Area

Go Height of Skewed Cuboid = (2*Left Face Area of Skewed Cuboid)/(Width of Large Rectangle of Skewed Cuboid+Width of Small Rectangle of Skewed Cuboid)

Height of Skewed Cuboid given Long Diagonal Formula

Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2)
h = sqrt(d_Long^2-w_Large^2-l_Large^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 Height of Skewed Cuboid given Long Diagonal?

Height of Skewed Cuboid given Long Diagonal calculator uses Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2) to calculate the Height of Skewed Cuboid, The Height of Skewed Cuboid given Long Diagonal formula is defined as the vertical distance measured from base to the top of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid. Height of Skewed Cuboid is denoted by h symbol.

How to calculate Height of Skewed Cuboid given Long Diagonal using this online calculator? To use this online calculator for Height of Skewed Cuboid given Long Diagonal, enter Long Diagonal of Skewed Cuboid (d_Long), Width of Large Rectangle of Skewed Cuboid (w_Large) & Length of Large Rectangle of Skewed Cuboid (l_Large) and hit the calculate button. Here is how the Height of Skewed Cuboid given Long Diagonal calculation can be explained with given input values -> 10.19804 = sqrt(27^2-15^2-20^2).

FAQ

What is Height of Skewed Cuboid given Long Diagonal?

The Height of Skewed Cuboid given Long Diagonal formula is defined as the vertical distance measured from base to the top of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid and is represented as h = sqrt(d_Long^2-w_Large^2-l_Large^2) or Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle 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 Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of Skewed Cuboid.

How to calculate Height of Skewed Cuboid given Long Diagonal?

The Height of Skewed Cuboid given Long Diagonal formula is defined as the vertical distance measured from base to the top of Skewed Cuboid, and calculated using the long diagonal of Skewed Cuboid is calculated using Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2). To calculate Height of Skewed Cuboid given Long Diagonal, you need Long Diagonal of Skewed Cuboid (d_Long), Width of Large Rectangle of Skewed Cuboid (w_Large) & Length of Large Rectangle of Skewed Cuboid (l_Large). With our tool, you need to enter the respective value for Long Diagonal of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Length of Large Rectangle 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 Height of Skewed Cuboid?

In this formula, Height of Skewed Cuboid uses Long Diagonal of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Length of Large Rectangle of Skewed Cuboid. We can use 8 other way(s) to calculate the same, which is/are as follows -

Height of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2)
Height of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)
Height of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)
Height of Skewed Cuboid = sqrt(Left Skewed Edge of Skewed Cuboid^2-(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)^2)
Height of Skewed Cuboid = sqrt(Middle Skewed Edge of Skewed Cuboid^2-(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)^2-(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)^2)
Height of Skewed Cuboid = (2*Left Face Area of Skewed Cuboid)/(Width of Large Rectangle of Skewed Cuboid+Width of Small Rectangle of Skewed Cuboid)
Height of Skewed Cuboid = (Back Face Area of Skewed Cuboid*2)/(Length of Small Rectangle of Skewed Cuboid+Length of Large Rectangle of Skewed Cuboid)
Height of Skewed Cuboid = Volume of Skewed Cuboid/((Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid)+((Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)/6))

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