Volume of Skewed Cuboid Calculator

✖The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid.ⓘ Length of Small Rectangle of Skewed Cuboid [l_Small]			+10% -10%
✖The Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid.ⓘ Width of Small Rectangle of Skewed Cuboid [w_Small]			+10% -10%
✖The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.ⓘ Height of Skewed Cuboid [h]			+10% -10%
✖The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid.ⓘ Width of Large Rectangle of Skewed Cuboid [w_Large]			+10% -10%
✖The Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of Skewed Cuboid.ⓘ Length of Large Rectangle of Skewed Cuboid [l_Large]			+10% -10%

✖The Volume of Skewed Cuboid is the total quantity of three dimensional space enclosed by the surface of a Skewed Cuboid.ⓘ Volume of Skewed Cuboid [V]

⎘ Copy

👎

Formula

✖

Volume of Skewed Cuboid

Formula

`"V" = ("l"_{"Small"}*"w"_{"Small"}*"h")+("h"*("w"_{"Large"}-"w"_{"Small"})*"l"_{"Small"}/2)+("h"*("l"_{"Large"}-"l"_{"Small"})*"w"_{"Small"}/2)+(("l"_{"Large"}-"l"_{"Small"})*("w"_{"Large"}-"w"_{"Small"})*"h"/6)`

Example

`"1380m³"=("8m"*"6m"*"10m")+("10m"*("15m"-"6m")*"8m"/2)+("10m"*("20m"-"8m")*"6m"/2)+(("20m"-"8m")*("15m"-"6m")*"10m"/6)`

Calculator

LaTeX

Reset

👍

Download Cuboid Formula PDF

Volume of Skewed Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Skewed Cuboid = (Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid*Height of Skewed Cuboid)+(Height of Skewed Cuboid*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+(Height of Skewed Cuboid*(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Height of Skewed Cuboid/6)
V = (l_Small*w_Small*h)+(h*(w_Large-w_Small)*l_Small/2)+(h*(l_Large-l_Small)*w_Small/2)+((l_Large-l_Small)*(w_Large-w_Small)*h/6)
This formula uses 6 Variables

Variables Used

Volume of Skewed Cuboid - (Measured in Cubic Meter) - The Volume of Skewed Cuboid is the total quantity of three dimensional space enclosed by the surface of a Skewed Cuboid.
Length of Small Rectangle of Skewed Cuboid - (Measured in Meter) - The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid.
Width of Small Rectangle of Skewed Cuboid - (Measured in Meter) - The Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid.
Height of Skewed Cuboid - (Measured in Meter) - The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.
Width of Large Rectangle of Skewed Cuboid - (Measured in Meter) - The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid.
Length of Large Rectangle of Skewed Cuboid - (Measured in Meter) - The Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of Skewed Cuboid.

STEP 1: Convert Input(s) to Base Unit

Length of Small Rectangle of Skewed Cuboid: 8 Meter --> 8 Meter No Conversion Required
Width of Small Rectangle of Skewed Cuboid: 6 Meter --> 6 Meter No Conversion Required
Height of Skewed Cuboid: 10 Meter --> 10 Meter No Conversion Required
Width of Large Rectangle of Skewed Cuboid: 15 Meter --> 15 Meter No Conversion Required
Length of Large Rectangle of Skewed Cuboid: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (l_Small*w_Small*h)+(h*(w_Large-w_Small)*l_Small/2)+(h*(l_Large-l_Small)*w_Small/2)+((l_Large-l_Small)*(w_Large-w_Small)*h/6) --> (8*6*10)+(10*(15-6)*8/2)+(10*(20-8)*6/2)+((20-8)*(15-6)*10/6)

Evaluating ... ...

V = 1380

STEP 3: Convert Result to Output's Unit

1380 Cubic Meter --> No Conversion Required

FINAL ANSWER

1380 Cubic Meter <-- Volume of Skewed Cuboid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboid » Skewed Cuboid » Area and Volume of Skewed Cuboid » Volume of Skewed Cuboid

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< 9 Area and Volume of Skewed Cuboid Calculators

Total Surface Area of Skewed Cuboid

Go Total Surface Area of Skewed Cuboid = (Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid)+(Length of Large Rectangle of Skewed Cuboid*Width of Large Rectangle of Skewed Cuboid)+((Height of Skewed Cuboid*(Width of Small Rectangle of Skewed Cuboid+Width of Large Rectangle of Skewed Cuboid))/2)+((Height of Skewed Cuboid*(Length of Small Rectangle of Skewed Cuboid+Length of Large Rectangle of Skewed Cuboid))/2)+((Right Skewed Edge of Skewed Cuboid*(Width of Small Rectangle of Skewed Cuboid+Width of Large Rectangle of Skewed Cuboid))/2)+((Left Skewed Edge of Skewed Cuboid*(Length of Small Rectangle of Skewed Cuboid+Length of Large Rectangle of Skewed Cuboid))/2)

Volume of Skewed Cuboid

Go Volume of Skewed Cuboid = (Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid*Height of Skewed Cuboid)+(Height of Skewed Cuboid*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+(Height of Skewed Cuboid*(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Height of Skewed Cuboid/6)

Total Surface Area of Skewed Cuboid given Face Areas

Go Total Surface Area of Skewed Cuboid = Top Face Area of Skewed Cuboid+Bottom Face Area of Skewed Cuboid+Left Face Area of Skewed Cuboid+Back Face Area of Skewed Cuboid+Right Face Area of Skewed Cuboid+Front Face Area of Skewed Cuboid

Front Face Area of Skewed Cuboid

Go Front Face Area of Skewed Cuboid = (Left Skewed Edge of Skewed Cuboid*(Length of Small Rectangle of Skewed Cuboid+Length of Large Rectangle of Skewed Cuboid))/2

Right Face Area of Skewed Cuboid

Go Right Face Area of Skewed Cuboid = (Right Skewed Edge of Skewed Cuboid*(Width of Small Rectangle of Skewed Cuboid+Width of Large Rectangle of Skewed Cuboid))/2

Back Face Area of Skewed Cuboid

Go Back Face Area of Skewed Cuboid = (Height of Skewed Cuboid*(Length of Small Rectangle of Skewed Cuboid+Length of Large Rectangle of Skewed Cuboid))/2

Left Face Area of Skewed Cuboid

Go Left Face Area of Skewed Cuboid = (Height of Skewed Cuboid*(Width of Small Rectangle of Skewed Cuboid+Width of Large Rectangle of Skewed Cuboid))/2

Bottom Face Area of Skewed Cuboid

Go Bottom Face Area of Skewed Cuboid = Length of Large Rectangle of Skewed Cuboid*Width of Large Rectangle of Skewed Cuboid

Top Face Area of Skewed Cuboid

Go Top Face Area of Skewed Cuboid = Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid

Volume of Skewed Cuboid Formula

What is a Skewed Cuboid?

A Skewed Cuboid is a hexahedron with two opposite rectangles, where one vertex is right above the other. One of the rectangles (here the bottom) has length and width larger or equal than the other. Other faces are right trapezoids. Front and right face are skewed. The volume is calculated from the cuboid of the smaller rectangle, two ramps and one corner.

How to Calculate Volume of Skewed Cuboid?

Volume of Skewed Cuboid calculator uses Volume of Skewed Cuboid = (Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid*Height of Skewed Cuboid)+(Height of Skewed Cuboid*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+(Height of Skewed Cuboid*(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Height of Skewed Cuboid/6) to calculate the Volume of Skewed Cuboid, The Volume of Skewed Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Skewed Cuboid. Volume of Skewed Cuboid is denoted by V symbol.

How to calculate Volume of Skewed Cuboid using this online calculator? To use this online calculator for Volume of Skewed Cuboid, enter Length of Small Rectangle of Skewed Cuboid (l_Small), Width of Small Rectangle of Skewed Cuboid (w_Small), Height of Skewed Cuboid (h), Width of Large Rectangle of Skewed Cuboid (w_Large) & Length of Large Rectangle of Skewed Cuboid (l_Large) and hit the calculate button. Here is how the Volume of Skewed Cuboid calculation can be explained with given input values -> 1380 = (8*6*10)+(10*(15-6)*8/2)+(10*(20-8)*6/2)+((20-8)*(15-6)*10/6).

FAQ

What is Volume of Skewed Cuboid?

The Volume of Skewed Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Skewed Cuboid and is represented as V = (l_Small*w_Small*h)+(h*(w_Large-w_Small)*l_Small/2)+(h*(l_Large-l_Small)*w_Small/2)+((l_Large-l_Small)*(w_Large-w_Small)*h/6) or Volume of Skewed Cuboid = (Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid*Height of Skewed Cuboid)+(Height of Skewed Cuboid*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+(Height of Skewed Cuboid*(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Height of Skewed Cuboid/6). The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid, The Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid, The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid, The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid & The Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of Skewed Cuboid.

How to calculate Volume of Skewed Cuboid?

The Volume of Skewed Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Skewed Cuboid is calculated using Volume of Skewed Cuboid = (Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle of Skewed Cuboid*Height of Skewed Cuboid)+(Height of Skewed Cuboid*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Length of Small Rectangle of Skewed Cuboid/2)+(Height of Skewed Cuboid*(Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*Width of Small Rectangle of Skewed Cuboid/2)+((Length of Large Rectangle of Skewed Cuboid-Length of Small Rectangle of Skewed Cuboid)*(Width of Large Rectangle of Skewed Cuboid-Width of Small Rectangle of Skewed Cuboid)*Height of Skewed Cuboid/6). To calculate Volume of Skewed Cuboid, you need Length of Small Rectangle of Skewed Cuboid (l_Small), Width of Small Rectangle of Skewed Cuboid (w_Small), Height of Skewed Cuboid (h), Width of Large Rectangle of Skewed Cuboid (w_Large) & Length of Large Rectangle of Skewed Cuboid (l_Large). With our tool, you need to enter the respective value for Length of Small Rectangle of Skewed Cuboid, Width of Small Rectangle of Skewed Cuboid, Height of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Length of Large Rectangle of Skewed Cuboid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search