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Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Formula

GoSpace Diagonal of Obtuse Edged Cuboid Formula

GoSpace Diagonal of Obtuse Edged Cuboid given Cuboidal Edges Formula

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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. Check FAQs

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

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

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Example

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Here is how the Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height equation looks like.

17.1369 = (\sqrt{(8^{2}) + (6^{2}) + ({(15 - (\sqrt{2} \cdot 3))}^{2})}) + (2 \cdot (\sqrt{\frac{3^{2}}{6}}))

17.1369m = (\sqrt{({8m}^{2}) + ({6m}^{2}) + ({(15m - (\sqrt{2} \cdot 3m))}^{2})}) + (2 \cdot (\sqrt{\frac{{3m}^{2}}{6}}))

17.1369 = (\sqrt{(8^{2}) + (6^{2}) + ({(15 - (\sqrt{2} \cdot 3))}^{2})}) + (2 \cdot (\sqrt{\frac{3^{2}}{6}}))

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Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = (\sqrt{({8m}^{2}) + ({6m}^{2}) + ({(15m - (\sqrt{2} \cdot 3m))}^{2})}) + (2 \cdot (\sqrt{\frac{{3m}^{2}}{6}}))

Next Step Prepare to Evaluate

∴

d Space = (\sqrt{(8^{2}) + (6^{2}) + ({(15 - (\sqrt{2} \cdot 3))}^{2})}) + (2 \cdot (\sqrt{\frac{3^{2}}{6}}))

Next Step Evaluate

∴

d Space = 17.136925849416m

LAST Step Rounding Answer

∴

d Space = 17.1369m

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Formula Elements

Variables

Functions

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

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

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

Cuboidal Height of 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.

Symbol: h_Cuboid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cuboidal Height 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

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 Space Diagonal of Obtuse Edged Cuboid

Go Space Diagonal of Obtuse Edged Cuboid

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

Go Space Diagonal of Obtuse Edged Cuboid given Cuboidal Edges

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

Go Space Diagonal of Obtuse Edged Cuboid given Inner Width

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

Go Space Diagonal of Obtuse Edged Cuboid given Cuboidal Length

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

How to Evaluate Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height?

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height evaluator uses 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))) to evaluate the Space Diagonal of Obtuse Edged Cuboid, Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height 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 height, inner width, inner length and cut width. Space Diagonal of Obtuse Edged Cuboid is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height

What is the formula to find Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height?

The formula of Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height is expressed as 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))). Here is an example- 17.13693 = (sqrt((8^2)+(6^2)+((15-(sqrt(2)*3))^2)))+(2*(sqrt(3^2/6))).

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

With Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Cuboidal Height of Obtuse Edged Cuboid (h_Cuboid) & Cut Width of Obtuse Edged Cuboid (w_Cut) we can find Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Space Diagonal of Obtuse Edged Cuboid?

Here are the different ways to Calculate Space Diagonal of Obtuse Edged Cuboid-

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(((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=(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)))

Can the Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height be negative?

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

Which unit is used to measure Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height?

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

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Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Formula

​GoSpace Diagonal of Obtuse Edged Cuboid Formula

​GoSpace Diagonal of Obtuse Edged Cuboid given Cuboidal Edges Formula

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Example

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Solution

Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height Formula Elements

Other Formulas to find Space Diagonal of Obtuse Edged Cuboid

How to Evaluate Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height?

FAQs on Space Diagonal of Obtuse Edged Cuboid given Cuboidal Height

Variable Name

GoSpace Diagonal of Obtuse Edged Cuboid Formula

GoSpace Diagonal of Obtuse Edged Cuboid given Cuboidal Edges Formula