Inclined Edge of Truncated Cuboid Calculator

✖The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.ⓘ Height of Truncated Cuboid [h]			+10% -10%
✖The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.ⓘ Shortened Height of Truncated Cuboid [h_Short]			+10% -10%
✖The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.ⓘ Width of Truncated Cuboid [w]			+10% -10%
✖The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.ⓘ Shortened Width of Truncated Cuboid [w_Short]			+10% -10%

✖The Inclined Edge of Truncated Cuboid is the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid.ⓘ Inclined Edge of Truncated Cuboid [l_e(Inclined)]

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Formula

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Inclined Edge of Truncated Cuboid

Formula

`"l"_{"e(Inclined)"} = sqrt(("h"-"h"_{"Short"})^2+("w"-"w"_{"Short"})^2)`

Example

`"9.219544m"=sqrt(("15m"-"8m")^2+("12m"-"6m")^2)`

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Inclined Edge of Truncated Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2)
l_e(Inclined) = sqrt((h-h_Short)^2+(w-w_Short)^2)
This formula uses 1 Functions, 5 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

Inclined Edge of Truncated Cuboid - (Measured in Meter) - The Inclined Edge of Truncated Cuboid is the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid.
Height of Truncated Cuboid - (Measured in Meter) - The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.
Shortened Height of Truncated Cuboid - (Measured in Meter) - The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.
Width of Truncated Cuboid - (Measured in Meter) - The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.
Shortened Width of Truncated Cuboid - (Measured in Meter) - The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

STEP 1: Convert Input(s) to Base Unit

Height of Truncated Cuboid: 15 Meter --> 15 Meter No Conversion Required
Shortened Height of Truncated Cuboid: 8 Meter --> 8 Meter No Conversion Required
Width of Truncated Cuboid: 12 Meter --> 12 Meter No Conversion Required
Shortened Width of Truncated Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Inclined) = sqrt((h-h_Short)^2+(w-w_Short)^2) --> sqrt((15-8)^2+(12-6)^2)

Evaluating ... ...

l_e(Inclined) = 9.21954445729289

STEP 3: Convert Result to Output's Unit

9.21954445729289 Meter --> No Conversion Required

FINAL ANSWER

9.21954445729289 ≈ 9.219544 Meter <-- Inclined Edge of Truncated Cuboid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Cuboid » Truncated Cuboid » Inclined Edge of Truncated Cuboid

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 3 Truncated Cuboid Calculators

Total Surface Area of Truncated Cuboid

Go Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid))

Volume of Truncated Cuboid

Go Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2)

Inclined Edge of Truncated Cuboid

Go Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2)

Inclined Edge of Truncated Cuboid Formula

What is a Truncated Cuboid?

A Truncated Cuboid is convex polyhedron bounded by six quadrilateral faces with one edge cut off straight. In Truncated Cuboid, the longest edge, i.e., length is truncated, thereby the adjacent edges height and width here are shortened. For a cuboid with every edge truncated, see obtuse edged cuboid.

How to Calculate Inclined Edge of Truncated Cuboid?

Inclined Edge of Truncated Cuboid calculator uses Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2) to calculate the Inclined Edge of Truncated Cuboid, The Inclined Edge of Truncated Cuboid formula is defined as the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid. Inclined Edge of Truncated Cuboid is denoted by l_e(Inclined) symbol.

How to calculate Inclined Edge of Truncated Cuboid using this online calculator? To use this online calculator for Inclined Edge of Truncated Cuboid, enter Height of Truncated Cuboid (h), Shortened Height of Truncated Cuboid (h_Short), Width of Truncated Cuboid (w) & Shortened Width of Truncated Cuboid (w_Short) and hit the calculate button. Here is how the Inclined Edge of Truncated Cuboid calculation can be explained with given input values -> 9.219544 = sqrt((15-8)^2+(12-6)^2).

FAQ

What is Inclined Edge of Truncated Cuboid?

The Inclined Edge of Truncated Cuboid formula is defined as the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid and is represented as l_e(Inclined) = sqrt((h-h_Short)^2+(w-w_Short)^2) or Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2). The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid, The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid, The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid & The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

How to calculate Inclined Edge of Truncated Cuboid?

The Inclined Edge of Truncated Cuboid formula is defined as the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid is calculated using Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2). To calculate Inclined Edge of Truncated Cuboid, you need Height of Truncated Cuboid (h), Shortened Height of Truncated Cuboid (h_Short), Width of Truncated Cuboid (w) & Shortened Width of Truncated Cuboid (w_Short). With our tool, you need to enter the respective value for Height of Truncated Cuboid, Shortened Height of Truncated Cuboid, Width of Truncated Cuboid & Shortened Width of Truncated Cuboid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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