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Perimeter of Cuboid given Space Diagonal, Height, and Length Formula

GoPerimeter of Cuboid Formula

GoPerimeter of Cuboid given Space Diagonal, Height, and Width Formula

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Perimeter of Cuboid is the total distance around all the edges of the Cuboid. Check FAQs

P = 4 \cdot (l + \sqrt{{d Space}^{2} - l^{2} - h^{2}} + h)

P - Perimeter of Cuboid?l - Length of Cuboid?d_Space - Space Diagonal of Cuboid?h - Height of Cuboid?

Perimeter of Cuboid given Space Diagonal, Height, and Length Example

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Here is how the Perimeter of Cuboid given Space Diagonal, Height, and Length equation looks like with Values.

Here is how the Perimeter of Cuboid given Space Diagonal, Height, and Length equation looks like with Units.

Here is how the Perimeter of Cuboid given Space Diagonal, Height, and Length equation looks like.

107.7128 = 4 \cdot (12 + \sqrt{16^{2} - 12^{2} - 8^{2}} + 8)

107.7128m = 4 \cdot (12m + \sqrt{{16m}^{2} - {12m}^{2} - {8m}^{2}} + 8m)

107.7128 = 4 \cdot (12 + \sqrt{16^{2} - 12^{2} - 8^{2}} + 8)

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Perimeter of Cuboid given Space Diagonal, Height, and Length Solution

Follow our step by step solution on how to calculate Perimeter of Cuboid given Space Diagonal, Height, and Length?

FIRST Step Consider the formula

P = 4 \cdot (l + \sqrt{{d Space}^{2} - l^{2} - h^{2}} + h)

Next Step Substitute values of Variables

∴

P = 4 \cdot (12m + \sqrt{{16m}^{2} - {12m}^{2} - {8m}^{2}} + 8m)

Next Step Prepare to Evaluate

∴

P = 4 \cdot (12 + \sqrt{16^{2} - 12^{2} - 8^{2}} + 8)

Next Step Evaluate

∴

P = 107.712812921102m

LAST Step Rounding Answer

∴

P = 107.7128m

Perimeter of Cuboid given Space Diagonal, Height, and Length Formula Elements

Variables

Functions

Perimeter of Cuboid

Perimeter of Cuboid is the total distance around all the edges of the Cuboid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Cuboid

Length of Cuboid

The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cuboid

Space Diagonal of Cuboid

The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Cuboid

Height of Cuboid

The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of 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 Perimeter of Cuboid

Go Perimeter of Cuboid

P = 4 \cdot (l + w + h)

Go Perimeter of Cuboid given Space Diagonal, Height, and Width

P = 4 \cdot (\sqrt{{d Space}^{2} - w^{2} - h^{2}} + w + h)

Go Perimeter of Cuboid given Total Surface Area, Height, and Width

P = 4 \cdot (\frac{\frac{TSA}{2} - (h \cdot w)}{h + w} + w + h)

Go Perimeter of Cuboid given Total Surface Area, Height, and Length

P = 4 \cdot (l + \frac{\frac{TSA}{2} - (h \cdot l)}{h + l} + h)

How to Evaluate Perimeter of Cuboid given Space Diagonal, Height, and Length?

Perimeter of Cuboid given Space Diagonal, Height, and Length evaluator uses Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid) to evaluate the Perimeter of Cuboid, The Perimeter of Cuboid given Space Diagonal, Height, and Length formula is defined as the total distance around the edge of the Cuboid, and is calculated using the space diagonal, length, and height of the Cuboid. Perimeter of Cuboid is denoted by P symbol.

How to evaluate Perimeter of Cuboid given Space Diagonal, Height, and Length using this online evaluator? To use this online evaluator for Perimeter of Cuboid given Space Diagonal, Height, and Length, enter Length of Cuboid (l), Space Diagonal of Cuboid (d_Space) & Height of Cuboid (h) and hit the calculate button.

FAQs on Perimeter of Cuboid given Space Diagonal, Height, and Length

What is the formula to find Perimeter of Cuboid given Space Diagonal, Height, and Length?

The formula of Perimeter of Cuboid given Space Diagonal, Height, and Length is expressed as Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid). Here is an example- 107.7128 = 4*(12+sqrt(16^2-12^2-8^2)+8).

How to calculate Perimeter of Cuboid given Space Diagonal, Height, and Length?

With Length of Cuboid (l), Space Diagonal of Cuboid (d_Space) & Height of Cuboid (h) we can find Perimeter of Cuboid given Space Diagonal, Height, and Length using the formula - Perimeter of Cuboid = 4*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Cuboid?

Here are the different ways to Calculate Perimeter of Cuboid-

Perimeter of Cuboid=4*(Length of Cuboid+Width of Cuboid+Height of Cuboid)
Perimeter of Cuboid=4*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid+Height of Cuboid)
Perimeter of Cuboid=4*((Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)+Width of Cuboid+Height of Cuboid)

Can the Perimeter of Cuboid given Space Diagonal, Height, and Length be negative?

No, the Perimeter of Cuboid given Space Diagonal, Height, and Length, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Cuboid given Space Diagonal, Height, and Length?

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

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Perimeter of Cuboid given Space Diagonal, Height, and Length Formula

​GoPerimeter of Cuboid Formula

​GoPerimeter of Cuboid given Space Diagonal, Height, and Width Formula

Perimeter of Cuboid given Space Diagonal, Height, and Length Example

Perimeter of Cuboid given Space Diagonal, Height, and Length Solution

Perimeter of Cuboid given Space Diagonal, Height, and Length Formula Elements

Other Formulas to find Perimeter of Cuboid

How to Evaluate Perimeter of Cuboid given Space Diagonal, Height, and Length?

FAQs on Perimeter of Cuboid given Space Diagonal, Height, and Length

Variable Name

GoPerimeter of Cuboid Formula

GoPerimeter of Cuboid given Space Diagonal, Height, and Width Formula