FormulaDen.com

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

Height of Anticube given Volume Formula

GoHeight of Anticube Formula

GoHeight of Anticube given Total Surface Area Formula

Fx Copy

LaTeX Copy

Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces. Check FAQs

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot V}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

h - Height of Anticube?V - Volume of Anticube?

Height of Anticube given Volume Example

With values

With units

Only example

Here is how the Height of Anticube given Volume equation looks like with Values.

Here is how the Height of Anticube given Volume equation looks like with Units.

Here is how the Height of Anticube given Volume equation looks like.

8.4031 = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot 955}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

8.4031m = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot 955m³}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

8.4031 = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot 955}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

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 Height of Anticube given Volume

Height of Anticube given Volume Solution

Follow our step by step solution on how to calculate Height of Anticube given Volume?

FIRST Step Consider the formula

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot V}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot 955m³}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot {(\frac{3 \cdot 955}{\sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}}})}^{\frac{1}{3}}

Next Step Evaluate

∴

h = 8.403102255976m

LAST Step Rounding Answer

∴

h = 8.4031m

Height of Anticube given Volume Formula Elements

Variables

Functions

Height of Anticube

Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Anticube

Volume of Anticube

Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Anticube

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 Anticube

Go Height of Anticube

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot l e

Go Height of Anticube given Total Surface Area

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \sqrt{\frac{TSA}{2 \cdot (1 + \sqrt{3})}}

Go Height of Anticube given Surface to Volume Ratio

h = \sqrt{1 - \frac{1}{2 + \sqrt{2}}} \cdot \frac{2 \cdot (1 + \sqrt{3})}{\frac{1}{3} \cdot \sqrt{1 + \sqrt{2}} \cdot \sqrt{2 + \sqrt{2}} \cdot R A/V}

How to Evaluate Height of Anticube given Volume?

Height of Anticube given Volume evaluator uses Height of Anticube = sqrt(1-1/(2+sqrt(2)))*((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3) to evaluate the Height of Anticube, The Height of Anticube given Volume formula is defined as the measure of vertical distance from one top to bottom face of the Anticube, calculated using volume. Height of Anticube is denoted by h symbol.

How to evaluate Height of Anticube given Volume using this online evaluator? To use this online evaluator for Height of Anticube given Volume, enter Volume of Anticube (V) and hit the calculate button.

FAQs on Height of Anticube given Volume

What is the formula to find Height of Anticube given Volume?

The formula of Height of Anticube given Volume is expressed as Height of Anticube = sqrt(1-1/(2+sqrt(2)))*((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3). Here is an example- 8.403102 = sqrt(1-1/(2+sqrt(2)))*((3*955)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3).

How to calculate Height of Anticube given Volume?

With Volume of Anticube (V) we can find Height of Anticube given Volume using the formula - Height of Anticube = sqrt(1-1/(2+sqrt(2)))*((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Anticube?

Here are the different ways to Calculate Height of Anticube-

Height of Anticube=sqrt(1-1/(2+sqrt(2)))*Edge Length of Anticube
Height of Anticube=sqrt(1-1/(2+sqrt(2)))*sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3))))
Height of Anticube=sqrt(1-1/(2+sqrt(2)))*(2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube)

Can the Height of Anticube given Volume be negative?

No, the Height of Anticube given Volume, measured in Length cannot be negative.

Which unit is used to measure Height of Anticube given Volume?

Height of Anticube given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Anticube given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit