Length to Height Slant Line of Cut Cuboid given Height Calculator

✖The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid.ⓘ Missing Length of Cut Cuboid [l_Missing]			+10% -10%
✖The Height of Cut Cuboid is the vertical distance measured from base to the top of Cut Cuboid.ⓘ Height of Cut Cuboid [h]			+10% -10%
✖The Residual Height of Cut Cuboid is the remaining part of the cut off height of Cut Cuboid.ⓘ Residual Height of Cut Cuboid [h_Residual]			+10% -10%

✖The LH Slant Line of Cut Cuboid is the distance of the slant line measured between the length and height of cut off edge of Cut Cuboid.ⓘ Length to Height Slant Line of Cut Cuboid given Height [l_Slant(LH)]

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Formula

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Length to Height Slant Line of Cut Cuboid given Height

Formula

`"l"_{"Slant(LH)"} = sqrt("l"_{"Missing"}^2+("h"-"h"_{"Residual"})^2)`

Example

`"7.211103m"=sqrt(("6m")^2+("15m"-"11m")^2)`

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Length to Height Slant Line of Cut Cuboid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2)
l_Slant(LH) = sqrt(l_Missing^2+(h-h_Residual)^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

LH Slant Line of Cut Cuboid - (Measured in Meter) - The LH Slant Line of Cut Cuboid is the distance of the slant line measured between the length and height of cut off edge of Cut Cuboid.
Missing Length of Cut Cuboid - (Measured in Meter) - The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid.
Height of Cut Cuboid - (Measured in Meter) - The Height of Cut Cuboid is the vertical distance measured from base to the top of Cut Cuboid.
Residual Height of Cut Cuboid - (Measured in Meter) - The Residual Height of Cut Cuboid is the remaining part of the cut off height of Cut Cuboid.

STEP 1: Convert Input(s) to Base Unit

Missing Length of Cut Cuboid: 6 Meter --> 6 Meter No Conversion Required
Height of Cut Cuboid: 15 Meter --> 15 Meter No Conversion Required
Residual Height of Cut Cuboid: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Slant(LH) = sqrt(l_Missing^2+(h-h_Residual)^2) --> sqrt(6^2+(15-11)^2)

Evaluating ... ...

l_Slant(LH) = 7.21110255092798

STEP 3: Convert Result to Output's Unit

7.21110255092798 Meter --> No Conversion Required

FINAL ANSWER

7.21110255092798 ≈ 7.211103 Meter <-- LH Slant Line of Cut Cuboid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Cuboid » Cut Cuboid » Slant Lines of Cut Cuboid » Length to Height Slant Line of Cut Cuboid » Length to Height Slant Line of Cut Cuboid given Height

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< 4 Length to Height Slant Line of Cut Cuboid Calculators

Length to Height Slant Line of Cut Cuboid given Length and Height

Go LH Slant Line of Cut Cuboid = sqrt((Length of Cut Cuboid-Residual Length of Cut Cuboid)^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2)

Length to Height Slant Line of Cut Cuboid given Length

Go LH Slant Line of Cut Cuboid = sqrt((Length of Cut Cuboid-Residual Length of Cut Cuboid)^2+Missing Height of Cut Cuboid^2)

Length to Height Slant Line of Cut Cuboid given Height

Go LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2)

Length to Height Slant Line of Cut Cuboid

Go LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+Missing Height of Cut Cuboid^2)

Length to Height Slant Line of Cut Cuboid given Height Formula

LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2)
l_Slant(LH) = sqrt(l_Missing^2+(h-h_Residual)^2)

What is a Cut Cuboid?

A Cut Cuboid, is a cuboid (a convex polyhedron bounded by six quadrilateral faces) with a corner cut off. It has 7 faces, 15 edges, 10 vertices. The faces are 3 rectangles, 3 cut rectangles, 1 triangle.

How to Calculate Length to Height Slant Line of Cut Cuboid given Height?

Length to Height Slant Line of Cut Cuboid given Height calculator uses LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2) to calculate the LH Slant Line of Cut Cuboid, Length to Height Slant Line of Cut Cuboid given Height formula is defined as the distance of the slant line measured between the length and height of cut off edge of Cut Cuboid, and calculated using height of Cut Cuboid. LH Slant Line of Cut Cuboid is denoted by l_Slant(LH) symbol.

How to calculate Length to Height Slant Line of Cut Cuboid given Height using this online calculator? To use this online calculator for Length to Height Slant Line of Cut Cuboid given Height, enter Missing Length of Cut Cuboid (l_Missing), Height of Cut Cuboid (h) & Residual Height of Cut Cuboid (h_Residual) and hit the calculate button. Here is how the Length to Height Slant Line of Cut Cuboid given Height calculation can be explained with given input values -> 7.211103 = sqrt(6^2+(15-11)^2).

FAQ

What is Length to Height Slant Line of Cut Cuboid given Height?

Length to Height Slant Line of Cut Cuboid given Height formula is defined as the distance of the slant line measured between the length and height of cut off edge of Cut Cuboid, and calculated using height of Cut Cuboid and is represented as l_Slant(LH) = sqrt(l_Missing^2+(h-h_Residual)^2) or LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2). The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid, The Height of Cut Cuboid is the vertical distance measured from base to the top of Cut Cuboid & The Residual Height of Cut Cuboid is the remaining part of the cut off height of Cut Cuboid.

How to calculate Length to Height Slant Line of Cut Cuboid given Height?

Length to Height Slant Line of Cut Cuboid given Height formula is defined as the distance of the slant line measured between the length and height of cut off edge of Cut Cuboid, and calculated using height of Cut Cuboid is calculated using LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2). To calculate Length to Height Slant Line of Cut Cuboid given Height, you need Missing Length of Cut Cuboid (l_Missing), Height of Cut Cuboid (h) & Residual Height of Cut Cuboid (h_Residual). With our tool, you need to enter the respective value for Missing Length of Cut Cuboid, Height of Cut Cuboid & Residual Height of Cut 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 LH Slant Line of Cut Cuboid?

In this formula, LH Slant Line of Cut Cuboid uses Missing Length of Cut Cuboid, Height of Cut Cuboid & Residual Height of Cut Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

LH Slant Line of Cut Cuboid = sqrt(Missing Length of Cut Cuboid^2+Missing Height of Cut Cuboid^2)
LH Slant Line of Cut Cuboid = sqrt((Length of Cut Cuboid-Residual Length of Cut Cuboid)^2+Missing Height of Cut Cuboid^2)
LH Slant Line of Cut Cuboid = sqrt((Length of Cut Cuboid-Residual Length of Cut Cuboid)^2+(Height of Cut Cuboid-Residual Height of Cut Cuboid)^2)

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