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

GoTotal Surface Area of Cuboid Formula

GoTotal Surface Area of Cuboid given Lateral Surface Area, Height and Width Formula

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

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

TSA - Total Surface Area of Cuboid?l - Length of Cuboid?h - Height of Cuboid?d_Space - Space Diagonal of Cuboid?

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

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

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

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

469.1281 = 2 \cdot ((12 \cdot 8) + (8 \cdot \sqrt{16^{2} - 12^{2} - 8^{2}}) + (12 \cdot \sqrt{16^{2} - 12^{2} - 8^{2}}))

469.1281m² = 2 \cdot ((12m \cdot 8m) + (8m \cdot \sqrt{{16m}^{2} - {12m}^{2} - {8m}^{2}}) + (12m \cdot \sqrt{{16m}^{2} - {12m}^{2} - {8m}^{2}}))

469.1281 = 2 \cdot ((12 \cdot 8) + (8 \cdot \sqrt{16^{2} - 12^{2} - 8^{2}}) + (12 \cdot \sqrt{16^{2} - 12^{2} - 8^{2}}))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 469.12812921102m²

LAST Step Rounding Answer

∴

TSA = 469.1281m²

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

Variables

Functions

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

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

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

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

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 Total Surface Area of Cuboid

Go Total Surface Area of Cuboid

TSA = 2 \cdot ((l \cdot h) + (h \cdot w) + (l \cdot w))

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

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

Go Total Surface Area of Cuboid given Volume, Length and Width

TSA = 2 \cdot (\frac{V}{l} + (l \cdot w) + \frac{V}{w})

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

Total Surface Area of Cuboid given Space Diagonal, Length and Height evaluator uses Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))+(Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))) to evaluate the Total Surface Area of Cuboid, The Total Surface Area of Cuboid given Space Diagonal, Length and Height formula is defined as the quantity of plane enclosed by the entire surface of the Cuboid, and is calculated using the space diagonal, length, and height of the Cuboid. Total Surface Area of Cuboid is denoted by TSA symbol.

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

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

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

The formula of Total Surface Area of Cuboid given Space Diagonal, Length and Height is expressed as Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))+(Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))). Here is an example- 469.1281 = 2*((12*8)+(8*sqrt(16^2-12^2-8^2))+(12*sqrt(16^2-12^2-8^2))).

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

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

What are the other ways to Calculate Total Surface Area of Cuboid?

Here are the different ways to Calculate Total Surface Area of Cuboid-

Total Surface Area of Cuboid=2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(Length of Cuboid*Width of Cuboid))
Total Surface Area of Cuboid=2*(((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid))
Total Surface Area of Cuboid=2*(Volume of Cuboid/Length of Cuboid+(Length of Cuboid*Width of Cuboid)+Volume of Cuboid/Width of Cuboid)

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

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

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

Total Surface Area of Cuboid given Space Diagonal, Length and Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Cuboid given Space Diagonal, Length and Height can be measured.

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

​GoTotal Surface Area of Cuboid Formula

​GoTotal Surface Area of Cuboid given Lateral Surface Area, Height and Width Formula

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

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

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

Other Formulas to find Total Surface Area of Cuboid

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

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

Variable Name

GoTotal Surface Area of Cuboid Formula

GoTotal Surface Area of Cuboid given Lateral Surface Area, Height and Width Formula