FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Ingot given Space Diagonal Formula

GoVolume of Ingot Formula

GoVolume of Ingot given Slant Height at Rectangular Lengths Formula

Fx Copy

LaTeX Copy

Volume of Ingot is the total quantity of three dimensional space enclosed by the surface of the Ingot. Check FAQs

V = \frac{\sqrt{{d Space}^{2} - \frac{{(l Large Rectangle + l Small Rectangle)}^{2}}{4} - \frac{{(w Large Rectangle + w Small Rectangle)}^{2}}{4}}}{3} \cdot ((l Large Rectangle \cdot w Large Rectangle) + \sqrt{l Large Rectangle \cdot w Large Rectangle \cdot l Small Rectangle \cdot w Small Rectangle} + (l Small Rectangle \cdot w Small Rectangle))

V - Volume 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?

Volume of Ingot given Space Diagonal Example

With values

With units

Only example

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

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

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

26038.5651 = \frac{\sqrt{56^{2} - \frac{{(50 + 20)}^{2}}{4} - \frac{{(25 + 10)}^{2}}{4}}}{3} \cdot ((50 \cdot 25) + \sqrt{50 \cdot 25 \cdot 20 \cdot 10} + (20 \cdot 10))

26038.5651m³ = \frac{\sqrt{{56m}^{2} - \frac{{(50m + 20m)}^{2}}{4} - \frac{{(25m + 10m)}^{2}}{4}}}{3} \cdot ((50m \cdot 25m) + \sqrt{50m \cdot 25m \cdot 20m \cdot 10m} + (20m \cdot 10m))

26038.5651 = \frac{\sqrt{56^{2} - \frac{{(50 + 20)}^{2}}{4} - \frac{{(25 + 10)}^{2}}{4}}}{3} \cdot ((50 \cdot 25) + \sqrt{50 \cdot 25 \cdot 20 \cdot 10} + (20 \cdot 10))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Ingot given Space Diagonal

Volume of Ingot given Space Diagonal Solution

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

FIRST Step Consider the formula

V = \frac{\sqrt{{d Space}^{2} - \frac{{(l Large Rectangle + l Small Rectangle)}^{2}}{4} - \frac{{(w Large Rectangle + w Small Rectangle)}^{2}}{4}}}{3} \cdot ((l Large Rectangle \cdot w Large Rectangle) + \sqrt{l Large Rectangle \cdot w Large Rectangle \cdot l Small Rectangle \cdot w Small Rectangle} + (l Small Rectangle \cdot w Small Rectangle))

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{{56m}^{2} - \frac{{(50m + 20m)}^{2}}{4} - \frac{{(25m + 10m)}^{2}}{4}}}{3} \cdot ((50m \cdot 25m) + \sqrt{50m \cdot 25m \cdot 20m \cdot 10m} + (20m \cdot 10m))

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{56^{2} - \frac{{(50 + 20)}^{2}}{4} - \frac{{(25 + 10)}^{2}}{4}}}{3} \cdot ((50 \cdot 25) + \sqrt{50 \cdot 25 \cdot 20 \cdot 10} + (20 \cdot 10))

Next Step Evaluate

∴

V = 26038.5651486406m³

LAST Step Rounding Answer

∴

V = 26038.5651m³

Volume of Ingot given Space Diagonal Formula Elements

Variables

Functions

Volume of Ingot

Volume of Ingot is the total quantity of three dimensional space enclosed by the surface of the Ingot.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Ingot

Go Volume of Ingot

V = \frac{h}{3} \cdot ((l Large Rectangle \cdot w Large Rectangle) + \sqrt{l Large Rectangle \cdot w Large Rectangle \cdot l Small Rectangle \cdot w Small Rectangle} + (l Small Rectangle \cdot w Small Rectangle))

Go Volume of Ingot given Slant Height at Rectangular Lengths

V = \frac{\sqrt{{h Slant(Length)}^{2} - \frac{{(w Large Rectangle - w Small Rectangle)}^{2}}{4}}}{3} \cdot ((l Large Rectangle \cdot w Large Rectangle) + \sqrt{l Large Rectangle \cdot w Large Rectangle \cdot l Small Rectangle \cdot w Small Rectangle} + (l Small Rectangle \cdot w Small Rectangle))

Go Volume of Ingot given Slant Height at Rectangular Widths

V = \frac{\sqrt{{h Slant(Width)}^{2} - \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4}}}{3} \cdot ((l Large Rectangle \cdot w Large Rectangle) + \sqrt{l Large Rectangle \cdot w Large Rectangle \cdot l Small Rectangle \cdot w Small Rectangle} + (l Small Rectangle \cdot w Small Rectangle))

Go Volume of Ingot given Skewed Edge Length

V = \frac{\sqrt{{l e(Skewed)}^{2} - \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4} - \frac{{(w Large Rectangle - w Small Rectangle)}^{2}}{4}}}{3} \cdot ((l Large Rectangle \cdot w Large Rectangle) + \sqrt{l Large Rectangle \cdot w Large Rectangle \cdot l Small Rectangle \cdot w Small Rectangle} + (l Small Rectangle \cdot w Small Rectangle))

How to Evaluate Volume of Ingot given Space Diagonal?

Volume of Ingot given Space Diagonal evaluator uses Volume 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)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)) to evaluate the Volume of Ingot, Volume of Ingot given Space Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Ingot, calculated using its space diagonal. Volume of Ingot is denoted by V symbol.

How to evaluate Volume of Ingot given Space Diagonal using this online evaluator? To use this online evaluator for Volume 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 Volume of Ingot given Space Diagonal

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

The formula of Volume of Ingot given Space Diagonal is expressed as Volume 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)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)). Here is an example- 26038.57 = sqrt(56^2-(50+20)^2/4-(25+10)^2/4)/3*((50*25)+sqrt(50*25*20*10)+(20*10)).

How to calculate Volume 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 Volume of Ingot given Space Diagonal using the formula - Volume 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)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Ingot?

Here are the different ways to Calculate Volume of Ingot-

Volume of Ingot=Height of Ingot/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))
Volume of Ingot=sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))
Volume of Ingot=sqrt(Slant Height at Rectangular Widths of Ingot^2-(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))

Can the Volume of Ingot given Space Diagonal be negative?

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

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

Volume of Ingot given Space Diagonal is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Ingot given Space Diagonal can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Ingot given Space Diagonal Formula

​GoVolume of Ingot Formula

​GoVolume of Ingot given Slant Height at Rectangular Lengths Formula

Volume of Ingot given Space Diagonal Example

Volume of Ingot given Space Diagonal Solution

Volume of Ingot given Space Diagonal Formula Elements

Other Formulas to find Volume of Ingot

How to Evaluate Volume of Ingot given Space Diagonal?

FAQs on Volume of Ingot given Space Diagonal

Variable Name

GoVolume of Ingot Formula

GoVolume of Ingot given Slant Height at Rectangular Lengths Formula