Residual Height of Cut Cuboid given Volume Calculator

✖The Volume of Cut Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid.ⓘ Volume of Cut Cuboid [V]			+10% -10%
✖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 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 Missing Width of Cut Cuboid is the part which is missing on the cutoff portion of width of Cut Cuboid.ⓘ Missing Width of Cut Cuboid [w_Missing]			+10% -10%
✖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 Width of Cut Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid.ⓘ Width of Cut Cuboid [w]			+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 given Volume [h_Residual]

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Formula

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Residual Height of Cut Cuboid given Volume

Formula

`"h"_{"Residual"} = ((6*"V")+("l"_{"Missing"}*"h"_{"Missing"}*"w"_{"Missing"}))/(6*"l"*"w")-"h"_{"Missing"}`

Example

`"10.956m"=((6*"7450m³")+("6m"*"4m"*"7m"))/(6*"25m"*"20m")-"4m"`

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Residual Height of Cut Cuboid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
h_Residual = ((6*V)+(l_Missing*h_Missing*w_Missing))/(6*l*w)-h_Missing
This formula uses 7 Variables

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.
Volume of Cut Cuboid - (Measured in Cubic Meter) - The Volume of Cut Cuboid is the total quantity of three dimensional space enclosed by the surface of a 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.
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.
Missing Width of Cut Cuboid - (Measured in Meter) - The Missing Width of Cut Cuboid is the part which is missing on the cutoff portion of width 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.
Width of Cut Cuboid - (Measured in Meter) - The Width of Cut Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid.

STEP 1: Convert Input(s) to Base Unit

Volume of Cut Cuboid: 7450 Cubic Meter --> 7450 Cubic Meter No Conversion Required
Missing Length of Cut Cuboid: 6 Meter --> 6 Meter No Conversion Required
Missing Height of Cut Cuboid: 4 Meter --> 4 Meter No Conversion Required
Missing Width of Cut Cuboid: 7 Meter --> 7 Meter No Conversion Required
Length of Cut Cuboid: 25 Meter --> 25 Meter No Conversion Required
Width of Cut Cuboid: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Residual = ((6*V)+(l_Missing*h_Missing*w_Missing))/(6*l*w)-h_Missing --> ((6*7450)+(6*4*7))/(6*25*20)-4

Evaluating ... ...

h_Residual = 10.956

STEP 3: Convert Result to Output's Unit

10.956 Meter --> No Conversion Required

FINAL ANSWER

10.956 Meter <-- Residual Height of Cut Cuboid

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Cuboid » Cut Cuboid » Edges of Cut Cuboid » Residual Height of Cut Cuboid » Residual Height of Cut Cuboid given Volume

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< 4 Residual Height of Cut Cuboid Calculators

Residual Height of Cut Cuboid given Volume

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

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

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

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

Residual Height of Cut Cuboid given Volume Formula

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 Volume?

Residual Height of Cut Cuboid given Volume calculator uses 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 to calculate the Residual Height of Cut Cuboid, The Residual Height of Cut Cuboid given Volume formula is defined as the remaining part of the cut off height of Cut Cuboid, and calculated using the volume of Cut Cuboid. Residual Height of Cut Cuboid is denoted by h_Residual symbol.

How to calculate Residual Height of Cut Cuboid given Volume using this online calculator? To use this online calculator for Residual Height of Cut Cuboid given Volume, enter Volume of Cut Cuboid (V), Missing Length of Cut Cuboid (l_Missing), Missing Height of Cut Cuboid (h_Missing), Missing Width of Cut Cuboid (w_Missing), Length of Cut Cuboid (l) & Width of Cut Cuboid (w) and hit the calculate button. Here is how the Residual Height of Cut Cuboid given Volume calculation can be explained with given input values -> 10.956 = ((6*7450)+(6*4*7))/(6*25*20)-4.

FAQ

What is Residual Height of Cut Cuboid given Volume?

The Residual Height of Cut Cuboid given Volume formula is defined as the remaining part of the cut off height of Cut Cuboid, and calculated using the volume of Cut Cuboid and is represented as h_Residual = ((6*V)+(l_Missing*h_Missing*w_Missing))/(6*l*w)-h_Missing or 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. The Volume of Cut Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid, The Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid, The Missing Width of Cut Cuboid is the part which is missing on the cutoff portion of width of Cut Cuboid, 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 Width of Cut Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid.

How to calculate Residual Height of Cut Cuboid given Volume?

The Residual Height of Cut Cuboid given Volume formula is defined as the remaining part of the cut off height of Cut Cuboid, and calculated using the volume of Cut Cuboid is calculated using 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. To calculate Residual Height of Cut Cuboid given Volume, you need Volume of Cut Cuboid (V), Missing Length of Cut Cuboid (l_Missing), Missing Height of Cut Cuboid (h_Missing), Missing Width of Cut Cuboid (w_Missing), Length of Cut Cuboid (l) & Width of Cut Cuboid (w). With our tool, you need to enter the respective value for Volume of Cut Cuboid, Missing Length of Cut Cuboid, Missing Height of Cut Cuboid, Missing Width of Cut Cuboid, Length of Cut Cuboid & Width 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 Volume of Cut Cuboid, Missing Length of Cut Cuboid, Missing Height of Cut Cuboid, Missing Width of Cut Cuboid, Length of Cut Cuboid & Width 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(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)
Residual Height of Cut Cuboid = Height of Cut Cuboid-sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)

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