Residual Length of Cut Cuboid given Length to Height Slant Line Calculator

✖The Length of Cut Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Cut Cuboid.ⓘ Length of Cut Cuboid [l]			+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.ⓘ LH Slant Line of Cut Cuboid [l_Slant(LH)]			+10% -10%
✖The Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid.ⓘ Missing Height of Cut Cuboid [h_Missing]			+10% -10%

✖The Residual Length of Cut Cuboid is the remaining part of the cut off length of Cut Cuboid.ⓘ Residual Length of Cut Cuboid given Length to Height Slant Line [l_Residual]

⎘ Copy

👎

Formula

✖

Residual Length of Cut Cuboid given Length to Height Slant Line

Formula

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

Example

`"18.0718m"="25m"-sqrt(("8m")^2-("4m")^2)`

Calculator

LaTeX

Reset

👍

Download Cuboid Formula PDF

Residual Length of Cut Cuboid given Length to Height Slant Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Residual Length of Cut Cuboid = Length of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Height of Cut Cuboid^2)
l_Residual = l-sqrt(l_Slant(LH)^2-h_Missing^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

Residual Length of Cut Cuboid - (Measured in Meter) - The Residual Length of Cut Cuboid is the remaining part of the cut off length of Cut Cuboid.
Length of Cut Cuboid - (Measured in Meter) - The Length of Cut Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Cut Cuboid.
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 Height of Cut Cuboid - (Measured in Meter) - The Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid.

STEP 1: Convert Input(s) to Base Unit

Length of Cut Cuboid: 25 Meter --> 25 Meter No Conversion Required
LH Slant Line of Cut Cuboid: 8 Meter --> 8 Meter No Conversion Required
Missing Height of Cut Cuboid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Residual = l-sqrt(l_Slant(LH)^2-h_Missing^2) --> 25-sqrt(8^2-4^2)

Evaluating ... ...

l_Residual = 18.0717967697245

STEP 3: Convert Result to Output's Unit

18.0717967697245 Meter --> No Conversion Required

FINAL ANSWER

18.0717967697245 ≈ 18.0718 Meter <-- Residual Length of Cut Cuboid

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Residual Length of Cut Cuboid Calculators

Residual Length of Cut Cuboid given Volume

Go Residual Length of Cut Cuboid = ((6*Volume of Cut Cuboid)+(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid))/(6*Height of Cut Cuboid*Width of Cut Cuboid)-Missing Length of Cut Cuboid

Residual Length of Cut Cuboid given Length to Height Slant Line

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

Residual Length of Cut Cuboid given Length to Width Slant Line

Go Residual Length of Cut Cuboid = Length of Cut Cuboid-sqrt(LW Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)

Residual Length of Cut Cuboid

Go Residual Length of Cut Cuboid = Length of Cut Cuboid-Missing Length of Cut Cuboid

Residual Length of Cut Cuboid given Length to Height Slant Line Formula

Residual Length of Cut Cuboid = Length of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Height of Cut Cuboid^2)
l_Residual = l-sqrt(l_Slant(LH)^2-h_Missing^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 Residual Length of Cut Cuboid given Length to Height Slant Line?

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

How to calculate Residual Length of Cut Cuboid given Length to Height Slant Line using this online calculator? To use this online calculator for Residual Length of Cut Cuboid given Length to Height Slant Line, enter Length of Cut Cuboid (l), LH Slant Line of Cut Cuboid (l_Slant(LH)) & Missing Height of Cut Cuboid (h_Missing) and hit the calculate button. Here is how the Residual Length of Cut Cuboid given Length to Height Slant Line calculation can be explained with given input values -> 18.0718 = 25-sqrt(8^2-4^2).

FAQ

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

The Residual Length of Cut Cuboid given Length to Height Slant Line formula is defined as the remaining part of the cut off length of Cut Cuboid, and calculated using length to height slant line of Cut Cuboid and is represented as l_Residual = l-sqrt(l_Slant(LH)^2-h_Missing^2) or Residual Length of Cut Cuboid = Length of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Height of Cut Cuboid^2). The Length of Cut Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Cut Cuboid, 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 & The Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid.

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

The Residual Length of Cut Cuboid given Length to Height Slant Line formula is defined as the remaining part of the cut off length of Cut Cuboid, and calculated using length to height slant line of Cut Cuboid is calculated using Residual Length of Cut Cuboid = Length of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Height of Cut Cuboid^2). To calculate Residual Length of Cut Cuboid given Length to Height Slant Line, you need Length of Cut Cuboid (l), LH Slant Line of Cut Cuboid (l_Slant(LH)) & Missing Height of Cut Cuboid (h_Missing). With our tool, you need to enter the respective value for Length of Cut Cuboid, LH Slant Line of Cut Cuboid & Missing 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 Residual Length of Cut Cuboid?

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

Residual Length of Cut Cuboid = Length of Cut Cuboid-Missing Length of Cut Cuboid
Residual Length of Cut Cuboid = Length of Cut Cuboid-sqrt(LW Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)
Residual Length of Cut Cuboid = ((6*Volume of Cut Cuboid)+(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid))/(6*Height of Cut Cuboid*Width of Cut Cuboid)-Missing Length of Cut Cuboid

Home

FREE PDFs

🔍 Search