Height of Skewed Cuboid given Volume Calculator

✖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]			+10% -10%
✖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 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 Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.ⓘ Height of Skewed Cuboid given Volume [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cuboid Formula PDF PDF Image

Height of Skewed Cuboid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Volume of Skewed Cuboid: 1400 Cubic Meter --> 1400 Cubic Meter No Conversion Required
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
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

h = V/((l_Small*w_Small)+((w_Large-w_Small)*l_Small/2)+((l_Large-l_Small)*w_Small/2)+((l_Large-l_Small)*(w_Large-w_Small)/6)) --> 1400/((8*6)+((15-6)*8/2)+((20-8)*6/2)+((20-8)*(15-6)/6))

Evaluating ... ...

h = 10.1449275362319

STEP 3: Convert Result to Output's Unit

10.1449275362319 Meter --> No Conversion Required

FINAL ANSWER

10.1449275362319 ≈ 10.14493 Meter <-- Height of Skewed Cuboid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboid » Skewed Cuboid » Height of Skewed Cuboid » Height of Skewed Cuboid given Volume

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!

< Height of Skewed Cuboid Calculators

Height of Skewed Cuboid given Second Medium Diagonal

LaTeX Go Height of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given First Medium Diagonal

LaTeX Go Height of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given Short Diagonal

LaTeX Go Height of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given Long Diagonal

LaTeX Go Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2)

Height of Skewed Cuboid given Volume Formula

LaTeX Go

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 Height of Skewed Cuboid given Volume?

Height of Skewed Cuboid given Volume calculator uses Height of Skewed Cuboid = Volume of Skewed Cuboid/((Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle 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)+((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)/6)) to calculate the Height of Skewed Cuboid, The Height of Skewed Cuboid given Volume formula is defined as the vertical distance measured from base to the top of Skewed Cuboid, and calculated using the volume of Skewed Cuboid. Height of Skewed Cuboid is denoted by h symbol.

How to calculate Height of Skewed Cuboid given Volume using this online calculator? To use this online calculator for Height of Skewed Cuboid given Volume, enter Volume of Skewed Cuboid (V), Length of Small Rectangle of Skewed Cuboid (l_Small), Width of Small Rectangle of Skewed Cuboid (w_Small), 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 Height of Skewed Cuboid given Volume calculation can be explained with given input values -> 10.14493 = 1400/((8*6)+((15-6)*8/2)+((20-8)*6/2)+((20-8)*(15-6)/6)).

FAQ

What is Height of Skewed Cuboid given Volume?

The Height of Skewed Cuboid given Volume formula is defined as the vertical distance measured from base to the top of Skewed Cuboid, and calculated using the volume of Skewed Cuboid and is represented as h = V/((l_Small*w_Small)+((w_Large-w_Small)*l_Small/2)+((l_Large-l_Small)*w_Small/2)+((l_Large-l_Small)*(w_Large-w_Small)/6)) or Height of Skewed Cuboid = Volume of Skewed Cuboid/((Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle 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)+((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)/6)). The Volume of Skewed Cuboid is the total quantity of three dimensional space enclosed by the surface of a Skewed Cuboid, 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 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 Height of Skewed Cuboid given Volume?

The Height of Skewed Cuboid given Volume formula is defined as the vertical distance measured from base to the top of Skewed Cuboid, and calculated using the volume of Skewed Cuboid is calculated using Height of Skewed Cuboid = Volume of Skewed Cuboid/((Length of Small Rectangle of Skewed Cuboid*Width of Small Rectangle 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)+((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)/6)). To calculate Height of Skewed Cuboid given Volume, you need Volume of Skewed Cuboid (V), Length of Small Rectangle of Skewed Cuboid (l_Small), Width of Small Rectangle of Skewed Cuboid (w_Small), 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 Volume of Skewed Cuboid, Length of Small Rectangle of Skewed Cuboid, Width of Small Rectangle 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.

How many ways are there to calculate Height of Skewed Cuboid?

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

Height of Skewed Cuboid = sqrt(Long Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2)
Height of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Length of Small Rectangle of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2)
Height of Skewed Cuboid = sqrt(Second Medium Diagonal of Skewed Cuboid^2-Length of Large Rectangle of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2)

Home

FREE PDFs

🔍 Search