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Space Diagonal of Cuboid given Total Surface Area, Length, and Width Formula

GoSpace Diagonal of Cuboid Formula

GoSpace Diagonal of Cuboid given Lateral Surface Area, Length, and Height Formula

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

d Space = \sqrt{l^{2} + w^{2} + {(\frac{\frac{TSA}{2} - (l \cdot w)}{l + w})}^{2}}

d_Space - Space Diagonal of Cuboid?l - Length of Cuboid?w - Width of Cuboid?TSA - Total Surface Area of Cuboid?

Space Diagonal of Cuboid given Total Surface Area, Length, and Width Example

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Here is how the Space Diagonal of Cuboid given Total Surface Area, Length, and Width equation looks like with Values.

Here is how the Space Diagonal of Cuboid given Total Surface Area, Length, and Width equation looks like with Units.

Here is how the Space Diagonal of Cuboid given Total Surface Area, Length, and Width equation looks like.

15.8824 = \sqrt{12^{2} + 6^{2} + {(\frac{\frac{450}{2} - (12 \cdot 6)}{12 + 6})}^{2}}

15.8824m = \sqrt{{12m}^{2} + {6m}^{2} + {(\frac{\frac{450m²}{2} - (12m \cdot 6m)}{12m + 6m})}^{2}}

15.8824 = \sqrt{12^{2} + 6^{2} + {(\frac{\frac{450}{2} - (12 \cdot 6)}{12 + 6})}^{2}}

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Space Diagonal of Cuboid given Total Surface Area, Length, and Width Solution

Follow our step by step solution on how to calculate Space Diagonal of Cuboid given Total Surface Area, Length, and Width?

FIRST Step Consider the formula

d Space = \sqrt{l^{2} + w^{2} + {(\frac{\frac{TSA}{2} - (l \cdot w)}{l + w})}^{2}}

Next Step Substitute values of Variables

∴

d Space = \sqrt{{12m}^{2} + {6m}^{2} + {(\frac{\frac{450m²}{2} - (12m \cdot 6m)}{12m + 6m})}^{2}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{12^{2} + 6^{2} + {(\frac{\frac{450}{2} - (12 \cdot 6)}{12 + 6})}^{2}}

Next Step Evaluate

∴

d Space = 15.8823801742686m

LAST Step Rounding Answer

∴

d Space = 15.8824m

Space Diagonal of Cuboid given Total Surface Area, Length, and Width Formula Elements

Variables

Functions

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

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

Width of Cuboid

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

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Cuboid

Total Surface Area of Cuboid

Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface of the Cuboid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Space Diagonal of Cuboid

Go Space Diagonal of Cuboid

d Space = \sqrt{l^{2} + w^{2} + h^{2}}

Go Space Diagonal of Cuboid given Lateral Surface Area, Length, and Height

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

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

d Space = \sqrt{{(\frac{V}{w \cdot h})}^{2} + w^{2} + h^{2}}

How to Evaluate Space Diagonal of Cuboid given Total Surface Area, Length, and Width?

Space Diagonal of Cuboid given Total Surface Area, Length, and Width evaluator uses Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+((Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))^2) to evaluate the Space Diagonal of Cuboid, The Space Diagonal of Cuboid given Total Surface Area, Length, and Width formula is defined as the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, and is calculated using the total surface area, length and width of the Cuboid. Space Diagonal of Cuboid is denoted by d_Space symbol.

How to evaluate Space Diagonal of Cuboid given Total Surface Area, Length, and Width using this online evaluator? To use this online evaluator for Space Diagonal of Cuboid given Total Surface Area, Length, and Width, enter Length of Cuboid (l), Width of Cuboid (w) & Total Surface Area of Cuboid (TSA) and hit the calculate button.

FAQs on Space Diagonal of Cuboid given Total Surface Area, Length, and Width

What is the formula to find Space Diagonal of Cuboid given Total Surface Area, Length, and Width?

The formula of Space Diagonal of Cuboid given Total Surface Area, Length, and Width is expressed as Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+((Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))^2). Here is an example- 15.88238 = sqrt(12^2+6^2+((450/2-(12*6))/(12+6))^2).

How to calculate Space Diagonal of Cuboid given Total Surface Area, Length, and Width?

With Length of Cuboid (l), Width of Cuboid (w) & Total Surface Area of Cuboid (TSA) we can find Space Diagonal of Cuboid given Total Surface Area, Length, and Width using the formula - Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+((Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid))^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Space Diagonal of Cuboid?

Here are the different ways to Calculate Space Diagonal of Cuboid-

Space Diagonal of Cuboid=sqrt(Length of Cuboid^2+Width of Cuboid^2+Height of Cuboid^2)
Space Diagonal of Cuboid=sqrt(Length of Cuboid^2+(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)^2+Height of Cuboid^2)
Space Diagonal of Cuboid=sqrt((Volume of Cuboid/(Width of Cuboid*Height of Cuboid))^2+Width of Cuboid^2+Height of Cuboid^2)

Can the Space Diagonal of Cuboid given Total Surface Area, Length, and Width be negative?

No, the Space Diagonal of Cuboid given Total Surface Area, Length, and Width, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Cuboid given Total Surface Area, Length, and Width?

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

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Space Diagonal of Cuboid given Total Surface Area, Length, and Width Formula

​GoSpace Diagonal of Cuboid Formula

​GoSpace Diagonal of Cuboid given Lateral Surface Area, Length, and Height Formula

Space Diagonal of Cuboid given Total Surface Area, Length, and Width Example

Space Diagonal of Cuboid given Total Surface Area, Length, and Width Solution

Space Diagonal of Cuboid given Total Surface Area, Length, and Width Formula Elements

Other Formulas to find Space Diagonal of Cuboid

How to Evaluate Space Diagonal of Cuboid given Total Surface Area, Length, and Width?

FAQs on Space Diagonal of Cuboid given Total Surface Area, Length, and Width

Variable Name

GoSpace Diagonal of Cuboid Formula

GoSpace Diagonal of Cuboid given Lateral Surface Area, Length, and Height Formula