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Volume of Cut Cuboid given Width to Height Slant Line Calculator

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✖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 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 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 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 [lMissing]
+10%
-10%
✖The WH Slant Line of Cut Cuboid is the distance of the slant line measured between the width and height of cut off edge of Cut Cuboid.ⓘ WH Slant Line of Cut Cuboid [lSlant(WH)]
+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 [wMissing]
+10%
-10%
✖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 given Width to Height Slant Line [V]
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Formula
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Volume of Cut Cuboid given Width to Height Slant Line

Formula
`"V" = ("l"*"h"*"w")-("l"_{"Missing"}*sqrt("l"_{"Slant(WH)"}^2-"w"_{"Missing"}^2)*"w"_{"Missing"})/6`

Example
`"7460.402m³"=("25m"*"15m"*"20m")-("6m"*sqrt(("9m")^2-("7m")^2)*"7m")/6`

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Volume of Cut Cuboid given Width to Height Slant Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)*Missing Width of Cut Cuboid)/6
V = (l*h*w)-(lMissing*sqrt(lSlant(WH)^2-wMissing^2)*wMissing)/6
This formula uses 1 Functions, 7 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
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.
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.
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.
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.
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.
WH Slant Line of Cut Cuboid - (Measured in Meter) - The WH Slant Line of Cut Cuboid is the distance of the slant line measured between the width and height of cut off edge 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.
STEP 1: Convert Input(s) to Base Unit
Length of Cut Cuboid: 25 Meter --> 25 Meter No Conversion Required
Height of Cut Cuboid: 15 Meter --> 15 Meter No Conversion Required
Width of Cut Cuboid: 20 Meter --> 20 Meter No Conversion Required
Missing Length of Cut Cuboid: 6 Meter --> 6 Meter No Conversion Required
WH Slant Line of Cut Cuboid: 9 Meter --> 9 Meter No Conversion Required
Missing Width of Cut Cuboid: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (l*h*w)-(lMissing*sqrt(lSlant(WH)^2-wMissing^2)*wMissing)/6 --> (25*15*20)-(6*sqrt(9^2-7^2)*7)/6
Evaluating ... ...
V = 7460.40202025355
STEP 3: Convert Result to Output's Unit
7460.40202025355 Cubic Meter --> No Conversion Required
FINAL ANSWER
7460.40202025355 ≈ 7460.402 Cubic Meter <-- Volume of Cut Cuboid
(Calculation completed in 00.020 seconds)
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Home » Math » Geometry » 3D Geometry » Cuboid » Cut Cuboid » Volume of Cut Cuboid » Volume of Cut Cuboid given Width to Height Slant Line

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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12 Volume of Cut Cuboid Calculators

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

Volume of Cut Cuboid given Width to Height Slant Line Formula

Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)*Missing Width of Cut Cuboid)/6
V = (l*h*w)-(lMissing*sqrt(lSlant(WH)^2-wMissing^2)*wMissing)/6

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 Volume of Cut Cuboid given Width to Height Slant Line?

Volume of Cut Cuboid given Width to Height Slant Line calculator uses Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)*Missing Width of Cut Cuboid)/6 to calculate the Volume of Cut Cuboid, The Volume of Cut Cuboid given Width to Height Slant Line formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, and calculated using width to height slant line of Cut Cuboid. Volume of Cut Cuboid is denoted by V symbol.

How to calculate Volume of Cut Cuboid given Width to Height Slant Line using this online calculator? To use this online calculator for Volume of Cut Cuboid given Width to Height Slant Line, enter Length of Cut Cuboid (l), Height of Cut Cuboid (h), Width of Cut Cuboid (w), Missing Length of Cut Cuboid (lMissing), WH Slant Line of Cut Cuboid (lSlant(WH)) & Missing Width of Cut Cuboid (wMissing) and hit the calculate button. Here is how the Volume of Cut Cuboid given Width to Height Slant Line calculation can be explained with given input values -> 7460.402 = (25*15*20)-(6*sqrt(9^2-7^2)*7)/6.

FAQ

What is Volume of Cut Cuboid given Width to Height Slant Line?
The Volume of Cut Cuboid given Width to Height Slant Line formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, and calculated using width to height slant line of Cut Cuboid and is represented as V = (l*h*w)-(lMissing*sqrt(lSlant(WH)^2-wMissing^2)*wMissing)/6 or Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)*Missing Width of Cut Cuboid)/6. 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 Height of Cut Cuboid is the vertical distance measured from base to the top 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, The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid, The WH Slant Line of Cut Cuboid is the distance of the slant line measured between the width and height of cut off edge of Cut Cuboid & The Missing Width of Cut Cuboid is the part which is missing on the cutoff portion of width of Cut Cuboid.
How to calculate Volume of Cut Cuboid given Width to Height Slant Line?
The Volume of Cut Cuboid given Width to Height Slant Line formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, and calculated using width to height slant line of Cut Cuboid is calculated using Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)*Missing Width of Cut Cuboid)/6. To calculate Volume of Cut Cuboid given Width to Height Slant Line, you need Length of Cut Cuboid (l), Height of Cut Cuboid (h), Width of Cut Cuboid (w), Missing Length of Cut Cuboid (lMissing), WH Slant Line of Cut Cuboid (lSlant(WH)) & Missing Width of Cut Cuboid (wMissing). With our tool, you need to enter the respective value for Length of Cut Cuboid, Height of Cut Cuboid, Width of Cut Cuboid, Missing Length of Cut Cuboid, WH Slant Line of Cut Cuboid & Missing 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 Volume of Cut Cuboid?
In this formula, Volume of Cut Cuboid uses Length of Cut Cuboid, Height of Cut Cuboid, Width of Cut Cuboid, Missing Length of Cut Cuboid, WH Slant Line of Cut Cuboid & Missing Width of Cut Cuboid. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = ((Residual Length of Cut Cuboid+Missing Length of Cut Cuboid)*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*(Residual Height of Cut Cuboid+Missing Height of Cut Cuboid)*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*(Residual Width of Cut Cuboid+Missing Width of Cut Cuboid))-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = ((Residual Length of Cut Cuboid+Missing Length of Cut Cuboid)*(Residual Height of Cut Cuboid+Missing Height of Cut Cuboid)*(Residual Width of Cut Cuboid+Missing Width of Cut Cuboid))-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-((Length of Cut Cuboid-Residual Length of Cut Cuboid)*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*(Height of Cut Cuboid-Residual Height of Cut Cuboid)*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*(Width of Cut Cuboid-Residual Width of Cut Cuboid))/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-((Length of Cut Cuboid-Residual Length of Cut Cuboid)*(Height of Cut Cuboid-Residual Height of Cut Cuboid)*(Width of Cut Cuboid-Residual Width of Cut Cuboid))/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(sqrt(LH Slant Line of Cut Cuboid^2-Missing Height of Cut Cuboid^2)*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6
  • Volume of Cut Cuboid = (Length of Cut Cuboid*Height of Cut Cuboid*Width of Cut Cuboid)-(Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*sqrt(LW Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2))/6
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