Inner Height 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%
✖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%
✖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 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 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 given Space Diagonal [h_Inner]

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Inner Height of Obtuse Edged Cuboid given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Obtuse Edged Cuboid: 17 Meter --> 17 Meter No Conversion Required
Cut Width of Obtuse Edged Cuboid: 3 Meter --> 3 Meter No Conversion Required
Inner Width of Obtuse Edged Cuboid: 6 Meter --> 6 Meter No Conversion Required
Inner Length of Obtuse Edged Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Inner = sqrt(((d_Space-(2*(sqrt(w_Cut^2/6))))^2)-(w_Inner^2)-(l_Inner^2)) --> sqrt(((17-(2*(sqrt(3^2/6))))^2)-(6^2)-(8^2))

Evaluating ... ...

h_Inner = 10.5696427917585

STEP 3: Convert Result to Output's Unit

10.5696427917585 Meter --> No Conversion Required

FINAL ANSWER

10.5696427917585 ≈ 10.56964 Meter <-- Inner Height of Obtuse Edged 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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< Height of Obtuse Edged Cuboid Calculators

Inner Height of Obtuse Edged Cuboid given Cuboidal and Inner Length

LaTeX Go Inner Height of Obtuse Edged Cuboid = Cuboidal Height of Obtuse Edged Cuboid-(Cuboidal Length of Obtuse Edged Cuboid-Inner Length of Obtuse Edged Cuboid)

Inner Height of Obtuse Edged Cuboid given Cuboidal and Inner Width

LaTeX Go Inner Height of Obtuse Edged Cuboid = Cuboidal Height of Obtuse Edged Cuboid-(Cuboidal Width of Obtuse Edged Cuboid-Inner Width of Obtuse Edged Cuboid)

Cuboidal Height of Obtuse Edged Cuboid

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

Inner Height of Obtuse Edged Cuboid

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

Inner Height 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 Inner Height of Obtuse Edged Cuboid given Space Diagonal?

Inner Height of Obtuse Edged Cuboid given Space Diagonal calculator uses Inner Height of Obtuse Edged Cuboid = sqrt(((Space Diagonal of Obtuse Edged Cuboid-(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))))^2)-(Inner Width of Obtuse Edged Cuboid^2)-(Inner Length of Obtuse Edged Cuboid^2)) to calculate the Inner Height of Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid given Space Diagonal formula is defined as the vertical distance between top and bottom rectangular faces of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, calculated using its space diagonal, cut width, inner width and inner length. Inner Height of Obtuse Edged Cuboid is denoted by h_Inner symbol.

How to calculate Inner Height of Obtuse Edged Cuboid given Space Diagonal using this online calculator? To use this online calculator for Inner Height of Obtuse Edged Cuboid given Space Diagonal, enter Space Diagonal of Obtuse Edged Cuboid (d_Space), Cut Width of Obtuse Edged Cuboid (w_Cut), Inner Width of Obtuse Edged Cuboid (w_Inner) & Inner Length of Obtuse Edged Cuboid (l_Inner) and hit the calculate button. Here is how the Inner Height of Obtuse Edged Cuboid given Space Diagonal calculation can be explained with given input values -> 10.56964 = sqrt(((17-(2*(sqrt(3^2/6))))^2)-(6^2)-(8^2)).

FAQ

What is Inner Height of Obtuse Edged Cuboid given Space Diagonal?

Inner Height of Obtuse Edged Cuboid given Space Diagonal formula is defined as the vertical distance between top and bottom rectangular faces of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, calculated using its space diagonal, cut width, inner width and inner length and is represented as h_Inner = sqrt(((d_Space-(2*(sqrt(w_Cut^2/6))))^2)-(w_Inner^2)-(l_Inner^2)) or Inner Height of Obtuse Edged Cuboid = sqrt(((Space Diagonal of Obtuse Edged Cuboid-(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))))^2)-(Inner Width of Obtuse Edged Cuboid^2)-(Inner Length of Obtuse Edged Cuboid^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, 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, 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 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.

How to calculate Inner Height of Obtuse Edged Cuboid given Space Diagonal?

Inner Height of Obtuse Edged Cuboid given Space Diagonal formula is defined as the vertical distance between top and bottom rectangular faces of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, calculated using its space diagonal, cut width, inner width and inner length is calculated using Inner Height of Obtuse Edged Cuboid = sqrt(((Space Diagonal of Obtuse Edged Cuboid-(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))))^2)-(Inner Width of Obtuse Edged Cuboid^2)-(Inner Length of Obtuse Edged Cuboid^2)). To calculate Inner Height of Obtuse Edged Cuboid given Space Diagonal, you need Space Diagonal of Obtuse Edged Cuboid (d_Space), Cut Width of Obtuse Edged Cuboid (w_Cut), Inner Width of Obtuse Edged Cuboid (w_Inner) & Inner Length of Obtuse Edged Cuboid (l_Inner). With our tool, you need to enter the respective value for Space Diagonal of Obtuse Edged Cuboid, Cut Width of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid & Inner Length 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 Inner Height of Obtuse Edged Cuboid?

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

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

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