Volume of Cut Cuboid given Length to Width Slant Line Calculator

✖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 [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 LW Slant Line of Cut Cuboid is the distance of the slant line measured between the length and width of cut off edge of Cut Cuboid.ⓘ LW Slant Line of Cut Cuboid [l_Slant(LW)]			+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 Length to Width Slant Line [V]

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Formula

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Volume of Cut Cuboid given Length to Width Slant Line

Formula

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

Example

`"7468m³"=("25m"*"15m"*"20m")-("6m"*"4m"*sqrt(("10m")^2-("6m")^2))/6`

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Volume of Cut Cuboid given Length to Width 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*Missing Height of Cut Cuboid*sqrt(LW Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2))/6
V = (l*h*w)-(l_Missing*h_Missing*sqrt(l_Slant(LW)^2-l_Missing^2))/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.
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.
LW Slant Line of Cut Cuboid - (Measured in Meter) - The LW Slant Line of Cut Cuboid is the distance of the slant line measured between the length and width of cut off edge 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
Missing Height of Cut Cuboid: 4 Meter --> 4 Meter No Conversion Required
LW Slant Line of Cut Cuboid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (l*h*w)-(l_Missing*h_Missing*sqrt(l_Slant(LW)^2-l_Missing^2))/6 --> (25*15*20)-(6*4*sqrt(10^2-6^2))/6

Evaluating ... ...

V = 7468

STEP 3: Convert Result to Output's Unit

7468 Cubic Meter --> No Conversion Required

FINAL ANSWER

7468 Cubic Meter <-- Volume of Cut Cuboid

(Calculation completed in 00.017 seconds)

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Home » Math » Geometry » 3D Geometry » Cuboid » Cut Cuboid » Volume of Cut Cuboid » Volume of Cut Cuboid given Length to Width Slant Line

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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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 Length to Width Slant Line 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 Volume of Cut Cuboid given Length to Width Slant Line?

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

How to calculate Volume of Cut Cuboid given Length to Width Slant Line using this online calculator? To use this online calculator for Volume of Cut Cuboid given Length to Width Slant Line, enter Length of Cut Cuboid (l), Height of Cut Cuboid (h), Width of Cut Cuboid (w), Missing Length of Cut Cuboid (l_Missing), Missing Height of Cut Cuboid (h_Missing) & LW Slant Line of Cut Cuboid (l_Slant(LW)) and hit the calculate button. Here is how the Volume of Cut Cuboid given Length to Width Slant Line calculation can be explained with given input values -> 7468 = (25*15*20)-(6*4*sqrt(10^2-6^2))/6.

FAQ

What is Volume of Cut Cuboid given Length to Width Slant Line?

The Volume of Cut Cuboid given Length to Width Slant Line formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, and calculated using length to width slant line of Cut Cuboid and is represented as V = (l*h*w)-(l_Missing*h_Missing*sqrt(l_Slant(LW)^2-l_Missing^2))/6 or 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. 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 Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid & The LW Slant Line of Cut Cuboid is the distance of the slant line measured between the length and width of cut off edge of Cut Cuboid.

How to calculate Volume of Cut Cuboid given Length to Width Slant Line?

The Volume of Cut Cuboid given Length to Width Slant Line formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, and calculated using length to width 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*Missing Height of Cut Cuboid*sqrt(LW Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2))/6. To calculate Volume of Cut Cuboid given Length to Width Slant Line, you need Length of Cut Cuboid (l), Height of Cut Cuboid (h), Width of Cut Cuboid (w), Missing Length of Cut Cuboid (l_Missing), Missing Height of Cut Cuboid (h_Missing) & LW Slant Line of Cut Cuboid (l_Slant(LW)). 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, Missing Height of Cut Cuboid & LW Slant Line 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, Missing Height of Cut Cuboid & LW Slant Line 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*sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)*Missing Width of Cut Cuboid)/6

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