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Inner Width of Obtuse Edged Cuboid given Space Diagonal Formula

GoInner Width of Obtuse Edged Cuboid Formula

GoInner Width of Obtuse Edged Cuboid given Cuboidal and Inner Height Formula

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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. Check FAQs

w Inner = \sqrt{({(d Space - (2 \cdot (\sqrt{\frac{{w Cut}^{2}}{6}})))}^{2}) - ({h Inner}^{2}) - ({l Inner}^{2})}

w_Inner - Inner Width of Obtuse Edged Cuboid?d_Space - Space Diagonal of Obtuse Edged Cuboid?w_Cut - Cut Width of Obtuse Edged Cuboid?h_Inner - Inner Height of Obtuse Edged Cuboid?l_Inner - Inner Length of Obtuse Edged Cuboid?

Inner Width of Obtuse Edged Cuboid given Space Diagonal Example

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Here is how the Inner Width of Obtuse Edged Cuboid given Space Diagonal equation looks like with Values.

Here is how the Inner Width of Obtuse Edged Cuboid given Space Diagonal equation looks like with Units.

Here is how the Inner Width of Obtuse Edged Cuboid given Space Diagonal equation looks like.

5.1689 = \sqrt{({(17 - (2 \cdot (\sqrt{\frac{3^{2}}{6}})))}^{2}) - (11^{2}) - (8^{2})}

5.1689m = \sqrt{({(17m - (2 \cdot (\sqrt{\frac{{3m}^{2}}{6}})))}^{2}) - ({11m}^{2}) - ({8m}^{2})}

5.1689 = \sqrt{({(17 - (2 \cdot (\sqrt{\frac{3^{2}}{6}})))}^{2}) - (11^{2}) - (8^{2})}

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Inner Width of Obtuse Edged Cuboid given Space Diagonal Solution

Follow our step by step solution on how to calculate Inner Width of Obtuse Edged Cuboid given Space Diagonal?

FIRST Step Consider the formula

w Inner = \sqrt{({(d Space - (2 \cdot (\sqrt{\frac{{w Cut}^{2}}{6}})))}^{2}) - ({h Inner}^{2}) - ({l Inner}^{2})}

Next Step Substitute values of Variables

∴

w Inner = \sqrt{({(17m - (2 \cdot (\sqrt{\frac{{3m}^{2}}{6}})))}^{2}) - ({11m}^{2}) - ({8m}^{2})}

Next Step Prepare to Evaluate

∴

w Inner = \sqrt{({(17 - (2 \cdot (\sqrt{\frac{3^{2}}{6}})))}^{2}) - (11^{2}) - (8^{2})}

Next Step Evaluate

∴

w Inner = 5.16888273666292m

LAST Step Rounding Answer

∴

w Inner = 5.1689m

Inner Width of Obtuse Edged Cuboid given Space Diagonal Formula Elements

Variables

Functions

Inner Width of 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.

Symbol: w_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Width of Obtuse Edged Cuboid

Space Diagonal of Obtuse Edged Cuboid

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.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Obtuse Edged Cuboid

Cut Width of 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.

Symbol: w_Cut

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cut Width of Obtuse Edged Cuboid

Inner Height of 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.

Symbol: h_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Height of Obtuse Edged Cuboid

Inner Length of 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.

Symbol: l_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Length of Obtuse Edged Cuboid

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.

Syntax: sqrt(Number)

Other Formulas to find Inner Width of Obtuse Edged Cuboid

Go Inner Width of Obtuse Edged Cuboid

w Inner = w Cuboid - (\sqrt{2} \cdot w Cut)

Go Inner Width of Obtuse Edged Cuboid given Cuboidal and Inner Height

w Inner = w Cuboid - (h Cuboid - h Inner)

Go Inner Width of Obtuse Edged Cuboid given Cuboidal and Inner Length

w Inner = w Cuboid - (l Cuboid - l Inner)

How to Evaluate Inner Width of Obtuse Edged Cuboid given Space Diagonal?

Inner Width of Obtuse Edged Cuboid given Space Diagonal evaluator uses Inner Width of Obtuse Edged Cuboid = sqrt(((Space Diagonal of Obtuse Edged Cuboid-(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))))^2)-(Inner Height of Obtuse Edged Cuboid^2)-(Inner Length of Obtuse Edged Cuboid^2)) to evaluate the Inner Width of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid given Space Diagonal formula is defined as the length of the shorter pair of edges of the bottom rectangular face 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 length and inner height. Inner Width of Obtuse Edged Cuboid is denoted by w_Inner symbol.

How to evaluate Inner Width of Obtuse Edged Cuboid given Space Diagonal using this online evaluator? To use this online evaluator for Inner Width 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 Height of Obtuse Edged Cuboid (h_Inner) & Inner Length of Obtuse Edged Cuboid (l_Inner) and hit the calculate button.

FAQs on Inner Width of Obtuse Edged Cuboid given Space Diagonal

What is the formula to find Inner Width of Obtuse Edged Cuboid given Space Diagonal?

The formula of Inner Width of Obtuse Edged Cuboid given Space Diagonal is expressed as Inner Width of Obtuse Edged Cuboid = sqrt(((Space Diagonal of Obtuse Edged Cuboid-(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))))^2)-(Inner Height of Obtuse Edged Cuboid^2)-(Inner Length of Obtuse Edged Cuboid^2)). Here is an example- 5.168883 = sqrt(((17-(2*(sqrt(3^2/6))))^2)-(11^2)-(8^2)).

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

With Space Diagonal of Obtuse Edged Cuboid (d_Space), Cut Width of Obtuse Edged Cuboid (w_Cut), Inner Height of Obtuse Edged Cuboid (h_Inner) & Inner Length of Obtuse Edged Cuboid (l_Inner) we can find Inner Width of Obtuse Edged Cuboid given Space Diagonal using the formula - Inner Width of Obtuse Edged Cuboid = sqrt(((Space Diagonal of Obtuse Edged Cuboid-(2*(sqrt(Cut Width of Obtuse Edged Cuboid^2/6))))^2)-(Inner Height of Obtuse Edged Cuboid^2)-(Inner Length of Obtuse Edged Cuboid^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Inner Width of Obtuse Edged Cuboid?

Here are the different ways to Calculate Inner Width of Obtuse Edged Cuboid-

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

Can the Inner Width of Obtuse Edged Cuboid given Space Diagonal be negative?

No, the Inner Width of Obtuse Edged Cuboid given Space Diagonal, measured in Length cannot be negative.

Which unit is used to measure Inner Width of Obtuse Edged Cuboid given Space Diagonal?

Inner Width of Obtuse Edged Cuboid given Space Diagonal is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inner Width of Obtuse Edged Cuboid given Space Diagonal can be measured.

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Inner Width of Obtuse Edged Cuboid given Space Diagonal Formula

​GoInner Width of Obtuse Edged Cuboid Formula

​GoInner Width of Obtuse Edged Cuboid given Cuboidal and Inner Height Formula

Inner Width of Obtuse Edged Cuboid given Space Diagonal Example

Inner Width of Obtuse Edged Cuboid given Space Diagonal Solution

Inner Width of Obtuse Edged Cuboid given Space Diagonal Formula Elements

Other Formulas to find Inner Width of Obtuse Edged Cuboid

How to Evaluate Inner Width of Obtuse Edged Cuboid given Space Diagonal?

FAQs on Inner Width of Obtuse Edged Cuboid given Space Diagonal

Variable Name

GoInner Width of Obtuse Edged Cuboid Formula

GoInner Width of Obtuse Edged Cuboid given Cuboidal and Inner Height Formula