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Height of Ingot given Space Diagonal Formula

GoHeight of Ingot given Skewed Edge Length Formula

GoHeight of Ingot given Slant Height at Rectangular Widths Formula

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Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot. Check FAQs

h = \sqrt{{d Space}^{2} - \frac{{(l Large Rectangle + l Small Rectangle)}^{2}}{4} - \frac{{(w Large Rectangle + w Small Rectangle)}^{2}}{4}}

h - Height of Ingot?d_Space - Space Diagonal of Ingot?l_{Large Rectangle} - Larger Rectangular Length of Ingot?l_{Small Rectangle} - Smaller Rectangular Length of Ingot?w_{Large Rectangle} - Larger Rectangular Width of Ingot?w_{Small Rectangle} - Smaller Rectangular Width of Ingot?

Height of Ingot given Space Diagonal Example

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Here is how the Height of Ingot given Space Diagonal equation looks like with Values.

Here is how the Height of Ingot given Space Diagonal equation looks like with Units.

Here is how the Height of Ingot given Space Diagonal equation looks like.

40.0593 = \sqrt{56^{2} - \frac{{(50 + 20)}^{2}}{4} - \frac{{(25 + 10)}^{2}}{4}}

40.0593m = \sqrt{{56m}^{2} - \frac{{(50m + 20m)}^{2}}{4} - \frac{{(25m + 10m)}^{2}}{4}}

40.0593 = \sqrt{56^{2} - \frac{{(50 + 20)}^{2}}{4} - \frac{{(25 + 10)}^{2}}{4}}

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Height of Ingot given Space Diagonal Solution

Follow our step by step solution on how to calculate Height of Ingot given Space Diagonal?

FIRST Step Consider the formula

h = \sqrt{{d Space}^{2} - \frac{{(l Large Rectangle + l Small Rectangle)}^{2}}{4} - \frac{{(w Large Rectangle + w Small Rectangle)}^{2}}{4}}

Next Step Substitute values of Variables

∴

h = \sqrt{{56m}^{2} - \frac{{(50m + 20m)}^{2}}{4} - \frac{{(25m + 10m)}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h = \sqrt{56^{2} - \frac{{(50 + 20)}^{2}}{4} - \frac{{(25 + 10)}^{2}}{4}}

Next Step Evaluate

∴

h = 40.0593309979086m

LAST Step Rounding Answer

∴

h = 40.0593m

Height of Ingot given Space Diagonal Formula Elements

Variables

Functions

Height of Ingot

Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Ingot

Space Diagonal of Ingot

Space Diagonal of Ingot is the distance between one corner of top rectangular face and the diagonally opposite corner of the bottom rectangular face of the Ingot.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Ingot

Larger Rectangular Length of Ingot

Larger Rectangular Length of Ingot is the length of the longer pair of opposite sides of the larger rectangular face of the Ingot.

Symbol: l_{Large Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Larger Rectangular Length of Ingot

Smaller Rectangular Length of Ingot

Smaller Rectangular Length of Ingot is the length of the longer pair of opposite sides of the smaller rectangular face of the Ingot.

Symbol: l_{Small Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Smaller Rectangular Length of Ingot

Larger Rectangular Width of Ingot

Larger Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the larger rectangular face of the Ingot.

Symbol: w_{Large Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Larger Rectangular Width of Ingot

Smaller Rectangular Width of Ingot

Smaller Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the Ingot.

Symbol: w_{Small Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Smaller Rectangular Width of Ingot

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 Height of Ingot

Go Height of Ingot given Skewed Edge Length

h = \sqrt{{l e(Skewed)}^{2} - \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4} - \frac{{(w Large Rectangle - w Small Rectangle)}^{2}}{4}}

Go Height of Ingot given Slant Height at Rectangular Widths

h = \sqrt{{h Slant(Width)}^{2} - \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4}}

Go Height of Ingot given Slant Height at Rectangular Lengths

h = \sqrt{{h Slant(Length)}^{2} - \frac{{(w Large Rectangle - w Small Rectangle)}^{2}}{4}}

How to Evaluate Height of Ingot given Space Diagonal?

Height of Ingot given Space Diagonal evaluator uses Height of Ingot = sqrt(Space Diagonal of Ingot^2-((Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot)^2)/4-((Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)^2)/4) to evaluate the Height of Ingot, Height of Ingot given Space Diagonal formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its space diagonal. Height of Ingot is denoted by h symbol.

How to evaluate Height of Ingot given Space Diagonal using this online evaluator? To use this online evaluator for Height of Ingot given Space Diagonal, enter Space Diagonal of Ingot (d_Space), Larger Rectangular Length of Ingot (l_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}) & Smaller Rectangular Width of Ingot (w_{Small Rectangle}) and hit the calculate button.

FAQs on Height of Ingot given Space Diagonal

What is the formula to find Height of Ingot given Space Diagonal?

The formula of Height of Ingot given Space Diagonal is expressed as Height of Ingot = sqrt(Space Diagonal of Ingot^2-((Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot)^2)/4-((Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)^2)/4). Here is an example- 40.05933 = sqrt(56^2-((50+20)^2)/4-((25+10)^2)/4).

How to calculate Height of Ingot given Space Diagonal?

With Space Diagonal of Ingot (d_Space), Larger Rectangular Length of Ingot (l_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}) & Smaller Rectangular Width of Ingot (w_{Small Rectangle}) we can find Height of Ingot given Space Diagonal using the formula - Height of Ingot = sqrt(Space Diagonal of Ingot^2-((Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot)^2)/4-((Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)^2)/4). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Ingot?

Here are the different ways to Calculate Height of Ingot-

Height of Ingot=sqrt(Skewed Edge Length of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)
Height of Ingot=sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)
Height of Ingot=sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)

Can the Height of Ingot given Space Diagonal be negative?

No, the Height of Ingot given Space Diagonal, measured in Length cannot be negative.

Which unit is used to measure Height of Ingot given Space Diagonal?

Height of Ingot 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 Height of Ingot given Space Diagonal can be measured.

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Height of Ingot given Space Diagonal Formula

​GoHeight of Ingot given Skewed Edge Length Formula

​GoHeight of Ingot given Slant Height at Rectangular Widths Formula

Height of Ingot given Space Diagonal Example

Height of Ingot given Space Diagonal Solution

Height of Ingot given Space Diagonal Formula Elements

Other Formulas to find Height of Ingot

How to Evaluate Height of Ingot given Space Diagonal?

FAQs on Height of Ingot given Space Diagonal

Variable Name

GoHeight of Ingot given Skewed Edge Length Formula

GoHeight of Ingot given Slant Height at Rectangular Widths Formula