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Height of Ingot given Slant Height at Rectangular Widths Formula

GoHeight of Ingot given Skewed Edge Length Formula

GoHeight of Ingot given Slant Height at Rectangular Lengths 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{{h Slant(Width)}^{2} - \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4}}

h - Height of Ingot?h_Slant(Width) - Slant Height at Rectangular Widths of Ingot?l_{Large Rectangle} - Larger Rectangular Length of Ingot?l_{Small Rectangle} - Smaller Rectangular Length of Ingot?

Height of Ingot given Slant Height at Rectangular Widths Example

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Here is how the Height of Ingot given Slant Height at Rectangular Widths equation looks like with Values.

Here is how the Height of Ingot given Slant Height at Rectangular Widths equation looks like with Units.

Here is how the Height of Ingot given Slant Height at Rectangular Widths equation looks like.

39.2301 = \sqrt{42^{2} - \frac{{(50 - 20)}^{2}}{4}}

39.2301m = \sqrt{{42m}^{2} - \frac{{(50m - 20m)}^{2}}{4}}

39.2301 = \sqrt{42^{2} - \frac{{(50 - 20)}^{2}}{4}}

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3D Geometry » fx Height of Ingot given Slant Height at Rectangular Widths

Height of Ingot given Slant Height at Rectangular Widths Solution

Follow our step by step solution on how to calculate Height of Ingot given Slant Height at Rectangular Widths?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{42m}^{2} - \frac{{(50m - 20m)}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h = \sqrt{42^{2} - \frac{{(50 - 20)}^{2}}{4}}

Next Step Evaluate

∴

h = 39.2300904918661m

LAST Step Rounding Answer

∴

h = 39.2301m

Height of Ingot given Slant Height at Rectangular Widths 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

Slant Height at Rectangular Widths of Ingot

Slant Height at Rectangular Widths of Ingot is the height of slanted trapezoidal faces which connects the widths of top and bottom rectangular faces of the Ingot.

Symbol: h_Slant(Width)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height at Rectangular Widths 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

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 Lengths

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

Go Height of Ingot given Space Diagonal

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

How to Evaluate Height of Ingot given Slant Height at Rectangular Widths?

Height of Ingot given Slant Height at Rectangular Widths evaluator uses Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4) to evaluate the Height of Ingot, Height of Ingot given Slant Height at Rectangular Widths formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its slant height at rectangular widths. Height of Ingot is denoted by h symbol.

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

FAQs on Height of Ingot given Slant Height at Rectangular Widths

What is the formula to find Height of Ingot given Slant Height at Rectangular Widths?

The formula of Height of Ingot given Slant Height at Rectangular Widths is expressed as Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4). Here is an example- 39.23009 = sqrt(42^2-((50-20)^2)/4).

How to calculate Height of Ingot given Slant Height at Rectangular Widths?

With Slant Height at Rectangular Widths of Ingot (h_Slant(Width)), Larger Rectangular Length of Ingot (l_{Large Rectangle}) & Smaller Rectangular Length of Ingot (l_{Small Rectangle}) we can find Height of Ingot given Slant Height at Rectangular Widths using the formula - Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length 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 Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)
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)

Can the Height of Ingot given Slant Height at Rectangular Widths be negative?

No, the Height of Ingot given Slant Height at Rectangular Widths, measured in Length cannot be negative.

Which unit is used to measure Height of Ingot given Slant Height at Rectangular Widths?

Height of Ingot given Slant Height at Rectangular Widths 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 Slant Height at Rectangular Widths can be measured.

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Height of Ingot given Slant Height at Rectangular Widths Formula

​GoHeight of Ingot given Skewed Edge Length Formula

​GoHeight of Ingot given Slant Height at Rectangular Lengths Formula

Height of Ingot given Slant Height at Rectangular Widths Example

Height of Ingot given Slant Height at Rectangular Widths Solution

Height of Ingot given Slant Height at Rectangular Widths Formula Elements

Other Formulas to find Height of Ingot

How to Evaluate Height of Ingot given Slant Height at Rectangular Widths?

FAQs on Height of Ingot given Slant Height at Rectangular Widths

Variable Name

GoHeight of Ingot given Skewed Edge Length Formula

GoHeight of Ingot given Slant Height at Rectangular Lengths Formula