Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length Calculator

✖Space Diagonal of Bent Cuboid is the line segment connecting two vertices that are not on the same face.ⓘ Space Diagonal of Bent Cuboid [d_Space]			+10% -10%
✖Total Length of Bent Cuboid is addition of two lengths of the parts of Bent Cuboid and equal to the length of the cuboid which is bent to form Bent Cuboid.ⓘ Total Length of Bent Cuboid [l_Total]			+10% -10%
✖First Partial Length of Bent Cuboid is the outer edge of horizontal part of Bent Cuboid standing upright, it is equal to the length of first part of Bent Cuboid.ⓘ First Partial Length of Bent Cuboid [l_{First Partial}]			+10% -10%

✖Height of Bent Cuboid is the distance between the lowest and highest points of Bent Cuboid standing upright and equal to the height of the cuboid which is bent to form Bent Cuboid.ⓘ Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length [h]

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Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length

Formula

`"h" = sqrt("d"_{"Space"}^2-("l"_{"Total"}-"l"_{"First Partial"})^2-"l"_{"First Partial"}^2)`

Example

`"9.591663m"=sqrt(("12m")^2-("10m"-"6m")^2-("6m")^2)`

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Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-First Partial Length of Bent Cuboid)^2-First Partial Length of Bent Cuboid^2)
h = sqrt(d_Space^2-(l_Total-l_{First Partial})^2-l_{First Partial}^2)
This formula uses 1 Functions, 4 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

Height of Bent Cuboid - (Measured in Meter) - Height of Bent Cuboid is the distance between the lowest and highest points of Bent Cuboid standing upright and equal to the height of the cuboid which is bent to form Bent Cuboid.
Space Diagonal of Bent Cuboid - (Measured in Meter) - Space Diagonal of Bent Cuboid is the line segment connecting two vertices that are not on the same face.
Total Length of Bent Cuboid - (Measured in Meter) - Total Length of Bent Cuboid is addition of two lengths of the parts of Bent Cuboid and equal to the length of the cuboid which is bent to form Bent Cuboid.
First Partial Length of Bent Cuboid - (Measured in Meter) - First Partial Length of Bent Cuboid is the outer edge of horizontal part of Bent Cuboid standing upright, it is equal to the length of first part of Bent Cuboid.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Bent Cuboid: 12 Meter --> 12 Meter No Conversion Required
Total Length of Bent Cuboid: 10 Meter --> 10 Meter No Conversion Required
First Partial Length of Bent Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(d_Space^2-(l_Total-l_{First Partial})^2-l_{First Partial}^2) --> sqrt(12^2-(10-6)^2-6^2)

Evaluating ... ...

h = 9.59166304662544

STEP 3: Convert Result to Output's Unit

9.59166304662544 Meter --> No Conversion Required

FINAL ANSWER

9.59166304662544 ≈ 9.591663 Meter <-- Height of Bent Cuboid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 4 Height of Bent Cuboid Calculators

Height of Bent Cuboid given Space Diagonal, Total Length and Second Partial Length

Go Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-Second Partial Length of Bent Cuboid)^2-Second Partial Length of Bent Cuboid^2)

Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length

Go Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-First Partial Length of Bent Cuboid)^2-First Partial Length of Bent Cuboid^2)

Height of Bent Cuboid given Space Diagonal

Go Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-First Partial Length of Bent Cuboid^2-Second Partial Length of Bent Cuboid^2)

Height of Bent Cuboid given Volume, Total Length and Width

Go Height of Bent Cuboid = Volume of Bent Cuboid/((Total Length of Bent Cuboid-Width of Bent Cuboid)*Width of Bent Cuboid)

Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length Formula

What is Bent Cuboid?

A Bent Cuboid is a type of Cuboid with a rectangular bend, or two Cuboids having same width and height joined together at their ends.

How to Calculate Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length?

Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length calculator uses Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-First Partial Length of Bent Cuboid)^2-First Partial Length of Bent Cuboid^2) to calculate the Height of Bent Cuboid, Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length formula is defined as the distance between the lowest and highest points of the Bent Cuboid standing upright, it is equal to the height of the cuboid which is bent to form the Bent Cuboid and calculated using space diagonal, total length, and first partial length of Bent Cuboid. Height of Bent Cuboid is denoted by h symbol.

How to calculate Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length using this online calculator? To use this online calculator for Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length, enter Space Diagonal of Bent Cuboid (d_Space), Total Length of Bent Cuboid (l_Total) & First Partial Length of Bent Cuboid (l_{First Partial}) and hit the calculate button. Here is how the Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length calculation can be explained with given input values -> 9.591663 = sqrt(12^2-(10-6)^2-6^2).

FAQ

What is Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length?

Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length formula is defined as the distance between the lowest and highest points of the Bent Cuboid standing upright, it is equal to the height of the cuboid which is bent to form the Bent Cuboid and calculated using space diagonal, total length, and first partial length of Bent Cuboid and is represented as h = sqrt(d_Space^2-(l_Total-l_{First Partial})^2-l_{First Partial}^2) or Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-First Partial Length of Bent Cuboid)^2-First Partial Length of Bent Cuboid^2). Space Diagonal of Bent Cuboid is the line segment connecting two vertices that are not on the same face, Total Length of Bent Cuboid is addition of two lengths of the parts of Bent Cuboid and equal to the length of the cuboid which is bent to form Bent Cuboid & First Partial Length of Bent Cuboid is the outer edge of horizontal part of Bent Cuboid standing upright, it is equal to the length of first part of Bent Cuboid.

How to calculate Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length?

Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length formula is defined as the distance between the lowest and highest points of the Bent Cuboid standing upright, it is equal to the height of the cuboid which is bent to form the Bent Cuboid and calculated using space diagonal, total length, and first partial length of Bent Cuboid is calculated using Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-First Partial Length of Bent Cuboid)^2-First Partial Length of Bent Cuboid^2). To calculate Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length, you need Space Diagonal of Bent Cuboid (d_Space), Total Length of Bent Cuboid (l_Total) & First Partial Length of Bent Cuboid (l_{First Partial}). With our tool, you need to enter the respective value for Space Diagonal of Bent Cuboid, Total Length of Bent Cuboid & First Partial Length of Bent 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 Bent Cuboid?

In this formula, Height of Bent Cuboid uses Space Diagonal of Bent Cuboid, Total Length of Bent Cuboid & First Partial Length of Bent Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-(Total Length of Bent Cuboid-Second Partial Length of Bent Cuboid)^2-Second Partial Length of Bent Cuboid^2)
Height of Bent Cuboid = sqrt(Space Diagonal of Bent Cuboid^2-First Partial Length of Bent Cuboid^2-Second Partial Length of Bent Cuboid^2)
Height of Bent Cuboid = Volume of Bent Cuboid/((Total Length of Bent Cuboid-Width of Bent Cuboid)*Width of Bent Cuboid)

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