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

STEP 0: Pre-Calculation Summary
Formula Used
Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)
hResidual = h-sqrt(lSlant(LH)^2-lMissing^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 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Height of Cut Cuboid: 15 Meter --> 15 Meter No Conversion Required
LH Slant Line of Cut Cuboid: 8 Meter --> 8 Meter No Conversion Required
Missing Length of Cut Cuboid: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hResidual = h-sqrt(lSlant(LH)^2-lMissing^2) --> 15-sqrt(8^2-6^2)
Evaluating ... ...
hResidual = 9.70849737787082
STEP 3: Convert Result to Output's Unit
9.70849737787082 Meter --> No Conversion Required
FINAL ANSWER
9.70849737787082 9.708497 Meter <-- Residual Height of Cut Cuboid
(Calculation completed in 00.020 seconds)

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Residual Height of Cut Cuboid Calculators

Residual Height of Cut Cuboid given Volume
​ LaTeX ​ Go Residual Height of Cut Cuboid = ((6*Volume of Cut Cuboid)+(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid))/(6*Length of Cut Cuboid*Width of Cut Cuboid)-Missing Height of Cut Cuboid
Residual Height of Cut Cuboid given Length to Height Slant Line
​ LaTeX ​ Go Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)
Residual Height of Cut Cuboid given Width to Height Slant Line
​ LaTeX ​ Go Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)
Residual Height of Cut Cuboid
​ LaTeX ​ Go Residual Height of Cut Cuboid = Height of Cut Cuboid-Missing Height of Cut Cuboid

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

​LaTeX ​Go
Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)
hResidual = h-sqrt(lSlant(LH)^2-lMissing^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 Height of Cut Cuboid given Length to Height Slant Line?

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

How to calculate Residual Height of Cut Cuboid given Length to Height Slant Line using this online calculator? To use this online calculator for Residual Height of Cut Cuboid given Length to Height Slant Line, enter Height of Cut Cuboid (h), LH Slant Line of Cut Cuboid (lSlant(LH)) & Missing Length of Cut Cuboid (lMissing) and hit the calculate button. Here is how the Residual Height of Cut Cuboid given Length to Height Slant Line calculation can be explained with given input values -> 9.708497 = 15-sqrt(8^2-6^2).

FAQ

What is Residual Height of Cut Cuboid given Length to Height Slant Line?
The Residual Height of Cut Cuboid given Length to Height Slant Line formula is defined as the remaining part of the cut off height of Cut Cuboid, and calculated using the length to height slant line of Cut Cuboid and is represented as hResidual = h-sqrt(lSlant(LH)^2-lMissing^2) or Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2). The Height of Cut Cuboid is the vertical distance measured from base to the top 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 Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid.
How to calculate Residual Height of Cut Cuboid given Length to Height Slant Line?
The Residual Height of Cut Cuboid given Length to Height Slant Line formula is defined as the remaining part of the cut off height of Cut Cuboid, and calculated using the length to height slant line of Cut Cuboid is calculated using Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2). To calculate Residual Height of Cut Cuboid given Length to Height Slant Line, you need Height of Cut Cuboid (h), LH Slant Line of Cut Cuboid (lSlant(LH)) & Missing Length of Cut Cuboid (lMissing). With our tool, you need to enter the respective value for Height of Cut Cuboid, LH Slant Line of Cut Cuboid & Missing Length 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 Height of Cut Cuboid?
In this formula, Residual Height of Cut Cuboid uses Height of Cut Cuboid, LH Slant Line of Cut Cuboid & Missing Length of Cut Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Residual Height of Cut Cuboid = Height of Cut Cuboid-Missing Height of Cut Cuboid
  • Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)
  • Residual Height of Cut Cuboid = ((6*Volume of Cut Cuboid)+(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid))/(6*Length of Cut Cuboid*Width of Cut Cuboid)-Missing Height of Cut Cuboid
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