Cut Width of Obtuse Edged Cuboid given Space Diagonal Calculator

✖Space Diagonal of Obtuse Edged Cuboid is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid.ⓘ Space Diagonal of Obtuse Edged Cuboid [d_Space]			+10% -10%
✖Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Length of Obtuse Edged Cuboid [l_Inner]			+10% -10%
✖Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Width of Obtuse Edged Cuboid [w_Inner]			+10% -10%
✖Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Height of Obtuse Edged Cuboid [h_Inner]			+10% -10%

✖Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.ⓘ Cut Width of Obtuse Edged Cuboid given Space Diagonal [w_Cut]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Cut Width of Obtuse Edged Cuboid given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cut Width of Obtuse Edged Cuboid = (sqrt(6)*(Space Diagonal of Obtuse Edged Cuboid-sqrt(Inner Length of Obtuse Edged Cuboid^2+Inner Width of Obtuse Edged Cuboid^2+Inner Height of Obtuse Edged Cuboid^2)))/2
w_Cut = (sqrt(6)*(d_Space-sqrt(l_Inner^2+w_Inner^2+h_Inner^2)))/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

Cut Width of Obtuse Edged Cuboid - (Measured in Meter) - Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.
Space Diagonal of Obtuse Edged Cuboid - (Measured in Meter) - Space Diagonal of Obtuse Edged Cuboid is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid.
Inner Length of Obtuse Edged Cuboid - (Measured in Meter) - Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Inner Width of Obtuse Edged Cuboid - (Measured in Meter) - Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Inner Height of Obtuse Edged Cuboid - (Measured in Meter) - Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Obtuse Edged Cuboid: 17 Meter --> 17 Meter No Conversion Required
Inner Length of Obtuse Edged Cuboid: 8 Meter --> 8 Meter No Conversion Required
Inner Width of Obtuse Edged Cuboid: 6 Meter --> 6 Meter No Conversion Required
Inner Height of Obtuse Edged Cuboid: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_Cut = (sqrt(6)*(d_Space-sqrt(l_Inner^2+w_Inner^2+h_Inner^2)))/2 --> (sqrt(6)*(17-sqrt(8^2+6^2+11^2)))/2

Evaluating ... ...

w_Cut = 2.61352135762389

STEP 3: Convert Result to Output's Unit

2.61352135762389 Meter --> No Conversion Required

FINAL ANSWER

2.61352135762389 ≈ 2.613521 Meter <-- Cut Width of Obtuse Edged Cuboid

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Obtuse Edged Cuboid » Cut Edge of Obtuse Edged Cuboid » Cut Width of Obtuse Edged Cuboid given Space Diagonal

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Cut Edge of Obtuse Edged Cuboid Calculators

Cut Width of Obtuse Edged Cuboid given Space Diagonal

LaTeX Go Cut Width of Obtuse Edged Cuboid = (sqrt(6)*(Space Diagonal of Obtuse Edged Cuboid-sqrt(Inner Length of Obtuse Edged Cuboid^2+Inner Width of Obtuse Edged Cuboid^2+Inner Height of Obtuse Edged Cuboid^2)))/2

Cut Width of Obtuse Edged Cuboid given Cuboidal and Inner Length

LaTeX Go Cut Width of Obtuse Edged Cuboid = (Cuboidal Length of Obtuse Edged Cuboid-Inner Length of Obtuse Edged Cuboid)/sqrt(2)

Cut Width of Obtuse Edged Cuboid

LaTeX Go Cut Width of Obtuse Edged Cuboid = (Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2)

Cut Width of Obtuse Edged Cuboid given Cuboidal and Inner Width

LaTeX Go Cut Width of Obtuse Edged Cuboid = (Cuboidal Width of Obtuse Edged Cuboid-Inner Width of Obtuse Edged Cuboid)/sqrt(2)

Cut Width of Obtuse Edged Cuboid given Space Diagonal Formula

LaTeX Go

What is Obtuse Edged Cuboid?

Obtuse Edged Cuboid is a cuboid with obtuse edges, a cuboid with regularly cut off edges. As surfaces, from the former rectangles smaller rectangles emerge and from the former edges rectangles with isosceles, right triangle attached at the ends emerge. The total volume is the volume of the inner cuboid plus the elevation of the inner cuboid faces to the former cuboid plus the inclined filled gaps at the former edge to the lengths of the smaller rectangles plus twice the eight corners (corner to the inside and the outside each).

How to Calculate Cut Width of Obtuse Edged Cuboid given Space Diagonal?

Cut Width of Obtuse Edged Cuboid given Space Diagonal calculator uses Cut Width of Obtuse Edged Cuboid = (sqrt(6)*(Space Diagonal of Obtuse Edged Cuboid-sqrt(Inner Length of Obtuse Edged Cuboid^2+Inner Width of Obtuse Edged Cuboid^2+Inner Height of Obtuse Edged Cuboid^2)))/2 to calculate the Cut Width of Obtuse Edged Cuboid, Cut Width of Obtuse Edged Cuboid given Space Diagonal formula is defined as the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid, calculated using space diagonal. Cut Width of Obtuse Edged Cuboid is denoted by w_Cut symbol.

How to calculate Cut Width of Obtuse Edged Cuboid given Space Diagonal using this online calculator? To use this online calculator for Cut Width of Obtuse Edged Cuboid given Space Diagonal, enter Space Diagonal of Obtuse Edged Cuboid (d_Space), Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner) & Inner Height of Obtuse Edged Cuboid (h_Inner) and hit the calculate button. Here is how the Cut Width of Obtuse Edged Cuboid given Space Diagonal calculation can be explained with given input values -> 2.613521 = (sqrt(6)*(17-sqrt(8^2+6^2+11^2)))/2.

FAQ

What is Cut Width of Obtuse Edged Cuboid given Space Diagonal?

Cut Width of Obtuse Edged Cuboid given Space Diagonal formula is defined as the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid, calculated using space diagonal and is represented as w_Cut = (sqrt(6)*(d_Space-sqrt(l_Inner^2+w_Inner^2+h_Inner^2)))/2 or Cut Width of Obtuse Edged Cuboid = (sqrt(6)*(Space Diagonal of Obtuse Edged Cuboid-sqrt(Inner Length of Obtuse Edged Cuboid^2+Inner Width of Obtuse Edged Cuboid^2+Inner Height of Obtuse Edged Cuboid^2)))/2. Space Diagonal of Obtuse Edged Cuboid is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid, Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid & Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.

How to calculate Cut Width of Obtuse Edged Cuboid given Space Diagonal?

Cut Width of Obtuse Edged Cuboid given Space Diagonal formula is defined as the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid, calculated using space diagonal is calculated using Cut Width of Obtuse Edged Cuboid = (sqrt(6)*(Space Diagonal of Obtuse Edged Cuboid-sqrt(Inner Length of Obtuse Edged Cuboid^2+Inner Width of Obtuse Edged Cuboid^2+Inner Height of Obtuse Edged Cuboid^2)))/2. To calculate Cut Width of Obtuse Edged Cuboid given Space Diagonal, you need Space Diagonal of Obtuse Edged Cuboid (d_Space), Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner) & Inner Height of Obtuse Edged Cuboid (h_Inner). With our tool, you need to enter the respective value for Space Diagonal of Obtuse Edged Cuboid, Inner Length of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid & Inner Height of Obtuse Edged 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 Cut Width of Obtuse Edged Cuboid?

In this formula, Cut Width of Obtuse Edged Cuboid uses Space Diagonal of Obtuse Edged Cuboid, Inner Length of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid & Inner Height of Obtuse Edged Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cut Width of Obtuse Edged Cuboid = (Cuboidal Length of Obtuse Edged Cuboid-Inner Length of Obtuse Edged Cuboid)/sqrt(2)
Cut Width of Obtuse Edged Cuboid = (Cuboidal Width of Obtuse Edged Cuboid-Inner Width of Obtuse Edged Cuboid)/sqrt(2)
Cut Width of Obtuse Edged Cuboid = (Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2)

Home

FREE PDFs

🔍 Search