Height of Cut Cuboid given Length to Height Slant Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Cut Cuboid = sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)+Residual Height of Cut Cuboid
h = sqrt(lSlant(LH)^2-lMissing^2)+hResidual
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 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.
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
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
Residual Height of Cut Cuboid: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = sqrt(lSlant(LH)^2-lMissing^2)+hResidual --> sqrt(8^2-6^2)+11
Evaluating ... ...
h = 16.2915026221292
STEP 3: Convert Result to Output's Unit
16.2915026221292 Meter --> No Conversion Required
FINAL ANSWER
16.2915026221292 16.2915 Meter <-- Height of Cut Cuboid
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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4 Height of Cut Cuboid Calculators

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

Height of Cut Cuboid given Length to Height Slant Line Formula

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

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 Height of Cut Cuboid given Length to Height Slant Line?

Height of Cut Cuboid given Length to Height Slant Line calculator uses Height of Cut Cuboid = sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)+Residual Height of Cut Cuboid to calculate the Height of Cut Cuboid, The Height of Cut Cuboid given Length to Height Slant Line formula is defined as the vertical distance measured from base to the top of Cut Cuboid, and calculated using the length to height slant line of Cut Cuboid. Height of Cut Cuboid is denoted by h symbol.

How to calculate Height of Cut Cuboid given Length to Height Slant Line using this online calculator? To use this online calculator for Height of Cut Cuboid given Length to Height Slant Line, enter LH Slant Line of Cut Cuboid (lSlant(LH)), Missing Length of Cut Cuboid (lMissing) & Residual Height of Cut Cuboid (hResidual) and hit the calculate button. Here is how the Height of Cut Cuboid given Length to Height Slant Line calculation can be explained with given input values -> 16.2915 = sqrt(8^2-6^2)+11.

FAQ

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