Width 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 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 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 given Volume [w]

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Formula

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Width of Cut Cuboid given Volume

Formula

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

Example

`"19.94133m"=("7450m³"+(("6m"*"4m"*"7m")/6))/("15m"*"25m")`

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Width of Cut Cuboid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Height of Cut Cuboid*Length of Cut Cuboid)
w = (V+((l_Missing*h_Missing*w_Missing)/6))/(h*l)
This formula uses 7 Variables

Variables Used

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.
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.
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.
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.

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
Height of Cut Cuboid: 15 Meter --> 15 Meter No Conversion Required
Length of Cut Cuboid: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (V+((l_Missing*h_Missing*w_Missing)/6))/(h*l) --> (7450+((6*4*7)/6))/(15*25)

Evaluating ... ...

w = 19.9413333333333

STEP 3: Convert Result to Output's Unit

19.9413333333333 Meter --> No Conversion Required

FINAL ANSWER

19.9413333333333 ≈ 19.94133 Meter <-- Width of Cut Cuboid

(Calculation completed in 00.004 seconds)

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

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< 4 Width of Cut Cuboid Calculators

Width of Cut Cuboid given Volume

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

Width of Cut Cuboid given Width to Height Slant Line

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

Width of Cut Cuboid given Length to Width Slant Line

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

Width of Cut Cuboid

Go Width of Cut Cuboid = Residual Width of Cut Cuboid+Missing Width of Cut Cuboid

Width 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 Width of Cut Cuboid given Volume?

Width of Cut Cuboid given Volume calculator uses Width of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Height of Cut Cuboid*Length of Cut Cuboid) to calculate the Width of Cut Cuboid, The Width of Cut Cuboid given Volume formula is defined as any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid, and calculated using the volume of Cut Cuboid. Width of Cut Cuboid is denoted by w symbol.

How to calculate Width of Cut Cuboid given Volume using this online calculator? To use this online calculator for Width 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), Height of Cut Cuboid (h) & Length of Cut Cuboid (l) and hit the calculate button. Here is how the Width of Cut Cuboid given Volume calculation can be explained with given input values -> 19.94133 = (7450+((6*4*7)/6))/(15*25).

FAQ

What is Width of Cut Cuboid given Volume?

The Width of Cut Cuboid given Volume formula is defined as any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid, and calculated using the volume of Cut Cuboid and is represented as w = (V+((l_Missing*h_Missing*w_Missing)/6))/(h*l) or Width of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Height of Cut Cuboid*Length 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 Height of Cut Cuboid is the vertical distance measured from base to the top 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.

How to calculate Width of Cut Cuboid given Volume?

The Width of Cut Cuboid given Volume formula is defined as any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid, and calculated using the volume of Cut Cuboid is calculated using Width of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Height of Cut Cuboid*Length of Cut Cuboid). To calculate Width 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), Height of Cut Cuboid (h) & Length of Cut Cuboid (l). 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, Height of Cut Cuboid & 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 Width of Cut Cuboid?

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

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

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