Length of Small Rectangle of Skewed Cuboid given Short Diagonal Calculator

✖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.ⓘ Short Diagonal of Skewed Cuboid [d_Short]			+10% -10%
✖The Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid.ⓘ Width of Small Rectangle of Skewed Cuboid [w_Small]			+10% -10%
✖The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.ⓘ Height of Skewed Cuboid [h]			+10% -10%

✖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.ⓘ Length of Small Rectangle of Skewed Cuboid given Short Diagonal [l_Small]

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Formula

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Length of Small Rectangle of Skewed Cuboid given Short Diagonal

Formula

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

Example

`"7.745967m"=sqrt(("14m")^2-("6m")^2-("10m")^2)`

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Length of Small Rectangle of Skewed Cuboid given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
l_Small = sqrt(d_Short^2-w_Small^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 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.
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.
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.
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
Width of Small Rectangle of Skewed Cuboid: 6 Meter --> 6 Meter No Conversion Required
Height of Skewed Cuboid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Small = sqrt(d_Short^2-w_Small^2-h^2) --> sqrt(14^2-6^2-10^2)

Evaluating ... ...

l_Small = 7.74596669241483

STEP 3: Convert Result to Output's Unit

7.74596669241483 Meter --> No Conversion Required

FINAL ANSWER

7.74596669241483 ≈ 7.745967 Meter <-- Length of Small Rectangle of Skewed Cuboid

(Calculation completed in 00.004 seconds)

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< 5 Length of Small Rectangle of Skewed Cuboid Calculators

Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal

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

Length of Small Rectangle of Skewed Cuboid given Short Diagonal

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

Length of Small Rectangle of Skewed Cuboid given Front Face Area

Go Length of Small Rectangle of Skewed Cuboid = (2*Front Face Area of Skewed Cuboid)/Left Skewed Edge of Skewed Cuboid-Length of Large Rectangle of Skewed Cuboid

Length of Small Rectangle of Skewed Cuboid given Back Face Area

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

Length of Small Rectangle of Skewed Cuboid given Top Face Area

Go Length of Small Rectangle of Skewed Cuboid = Top Face Area of Skewed Cuboid/Width of Small Rectangle of Skewed Cuboid

Length of Small Rectangle of Skewed Cuboid given Short Diagonal Formula

Length of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
l_Small = sqrt(d_Short^2-w_Small^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 Small Rectangle of Skewed Cuboid given Short Diagonal?

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

How to calculate Length of Small Rectangle of Skewed Cuboid given Short Diagonal using this online calculator? To use this online calculator for Length of Small Rectangle of Skewed Cuboid given Short Diagonal, enter Short Diagonal of Skewed Cuboid (d_Short), Width of Small Rectangle of Skewed Cuboid (w_Small) & Height of Skewed Cuboid (h) and hit the calculate button. Here is how the Length of Small Rectangle of Skewed Cuboid given Short Diagonal calculation can be explained with given input values -> 7.745967 = sqrt(14^2-6^2-10^2).

FAQ

What is Length of Small Rectangle of Skewed Cuboid given Short Diagonal?

The Length of Small Rectangle of Skewed Cuboid given Short Diagonal formula is defined as the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid, and calculated using the short diagonal of Skewed Cuboid and is represented as l_Small = sqrt(d_Short^2-w_Small^2-h^2) or Length of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Width 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 Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top 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 Small Rectangle of Skewed Cuboid given Short Diagonal?

The Length of Small Rectangle of Skewed Cuboid given Short Diagonal formula is defined as the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid, and calculated using the short diagonal of Skewed Cuboid is calculated using Length of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). To calculate Length of Small Rectangle of Skewed Cuboid given Short Diagonal, you need Short Diagonal of Skewed Cuboid (d_Short), Width of Small Rectangle of Skewed Cuboid (w_Small) & Height of Skewed Cuboid (h). With our tool, you need to enter the respective value for Short Diagonal of Skewed Cuboid, Width 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 Length of Small Rectangle of Skewed Cuboid?

In this formula, Length of Small Rectangle of Skewed Cuboid uses Short Diagonal of Skewed Cuboid, Width of Small 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 Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Length of Small Rectangle of Skewed Cuboid = Top Face Area of Skewed Cuboid/Width of Small Rectangle of Skewed Cuboid
Length of Small Rectangle of Skewed Cuboid = (2*Back Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Length of Large Rectangle of Skewed Cuboid
Length of Small Rectangle of Skewed Cuboid = (2*Front Face Area of Skewed Cuboid)/Left Skewed Edge of Skewed Cuboid-Length of Large Rectangle of Skewed Cuboid

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