Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges Calculator

✖Cuboidal Length of Obtuse Edged Cuboid is the length of the longer pair of edges of the bottom rectangular face of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.ⓘ Cuboidal Length of Obtuse Edged Cuboid [l_Cuboid]			+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 [w_Cut]			+10% -10%
✖Cuboidal Width of Obtuse Edged Cuboid is the length of the shorter pair of edges of the bottom rectangular face of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.ⓘ Cuboidal Width of Obtuse Edged Cuboid [w_Cuboid]			+10% -10%
✖Cuboidal Height of Obtuse Edged Cuboid is the vertical distance between top and bottom rectangular faces of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.ⓘ Cuboidal Height of Obtuse Edged Cuboid [h_Cuboid]			+10% -10%

✖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 given Cuboidal Edges [d_Space]

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Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Obtuse Edged Cuboid = (sqrt(((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)))+(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6)))
d_Space = (sqrt(((l_Cuboid-(sqrt(2)*w_Cut))^2)+((w_Cuboid-(sqrt(2)*w_Cut))^2)+((h_Cuboid-(sqrt(2)*w_Cut))^2)))+(2*(sqrt(w_Cut^2/6)))
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

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.
Cuboidal Length of Obtuse Edged Cuboid - (Measured in Meter) - Cuboidal Length of Obtuse Edged Cuboid is the length of the longer pair of edges of the bottom rectangular face of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.
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.
Cuboidal Width of Obtuse Edged Cuboid - (Measured in Meter) - Cuboidal Width of Obtuse Edged Cuboid is the length of the shorter pair of edges of the bottom rectangular face of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.
Cuboidal Height of Obtuse Edged Cuboid - (Measured in Meter) - Cuboidal Height of Obtuse Edged Cuboid is the vertical distance between top and bottom rectangular faces of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.

STEP 1: Convert Input(s) to Base Unit

Cuboidal Length of Obtuse Edged Cuboid: 12 Meter --> 12 Meter No Conversion Required
Cut Width of Obtuse Edged Cuboid: 3 Meter --> 3 Meter No Conversion Required
Cuboidal Width of Obtuse Edged Cuboid: 10 Meter --> 10 Meter No Conversion Required
Cuboidal Height of Obtuse Edged Cuboid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = (sqrt(((l_Cuboid-(sqrt(2)*w_Cut))^2)+((w_Cuboid-(sqrt(2)*w_Cut))^2)+((h_Cuboid-(sqrt(2)*w_Cut))^2)))+(2*(sqrt(w_Cut^2/6))) --> (sqrt(((12-(sqrt(2)*3))^2)+((10-(sqrt(2)*3))^2)+((15-(sqrt(2)*3))^2)))+(2*(sqrt(3^2/6)))

Evaluating ... ...

d_Space = 16.9078641034495

STEP 3: Convert Result to Output's Unit

16.9078641034495 Meter --> No Conversion Required

FINAL ANSWER

16.9078641034495 ≈ 16.90786 Meter <-- Space Diagonal of Obtuse Edged Cuboid

(Calculation completed in 00.004 seconds)

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< Space Diagonal of Obtuse Edged Cuboid Calculators

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges

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

Space Diagonal of Obtuse Edged Cuboid given Inner Width

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

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height

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

Space Diagonal of Obtuse Edged Cuboid

LaTeX Go 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*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6)))

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges 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 Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges?

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges calculator uses Space Diagonal of Obtuse Edged Cuboid = (sqrt(((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)))+(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))) to calculate the Space Diagonal of Obtuse Edged Cuboid, Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid, calculated using its cuboidal length, height, width and cut width. Space Diagonal of Obtuse Edged Cuboid is denoted by d_Space symbol.

How to calculate Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges using this online calculator? To use this online calculator for Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges, enter Cuboidal Length of Obtuse Edged Cuboid (l_Cuboid), Cut Width of Obtuse Edged Cuboid (w_Cut), Cuboidal Width of Obtuse Edged Cuboid (w_Cuboid) & Cuboidal Height of Obtuse Edged Cuboid (h_Cuboid) and hit the calculate button. Here is how the Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges calculation can be explained with given input values -> 16.90786 = (sqrt(((12-(sqrt(2)*3))^2)+((10-(sqrt(2)*3))^2)+((15-(sqrt(2)*3))^2)))+(2*(sqrt(3^2/6))).

FAQ

What is Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges?

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid, calculated using its cuboidal length, height, width and cut width and is represented as d_Space = (sqrt(((l_Cuboid-(sqrt(2)*w_Cut))^2)+((w_Cuboid-(sqrt(2)*w_Cut))^2)+((h_Cuboid-(sqrt(2)*w_Cut))^2)))+(2*(sqrt(w_Cut^2/6))) or Space Diagonal of Obtuse Edged Cuboid = (sqrt(((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)))+(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))). Cuboidal Length of Obtuse Edged Cuboid is the length of the longer pair of edges of the bottom rectangular face of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid, 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, Cuboidal Width of Obtuse Edged Cuboid is the length of the shorter pair of edges of the bottom rectangular face of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid & Cuboidal Height of Obtuse Edged Cuboid is the vertical distance between top and bottom rectangular faces of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.

How to calculate Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges?

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges formula is defined as the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid, calculated using its cuboidal length, height, width and cut width is calculated using Space Diagonal of Obtuse Edged Cuboid = (sqrt(((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)+((Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))^2)))+(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))). To calculate Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges, you need Cuboidal Length of Obtuse Edged Cuboid (l_Cuboid), Cut Width of Obtuse Edged Cuboid (w_Cut), Cuboidal Width of Obtuse Edged Cuboid (w_Cuboid) & Cuboidal Height of Obtuse Edged Cuboid (h_Cuboid). With our tool, you need to enter the respective value for Cuboidal Length of Obtuse Edged Cuboid, Cut Width of Obtuse Edged Cuboid, Cuboidal Width of Obtuse Edged Cuboid & Cuboidal 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 Space Diagonal of Obtuse Edged Cuboid?

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

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

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