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

GoTotal Surface Area of Cuboid Formula

GoTotal Surface Area of Cuboid given Volume, Width and Height 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 ((\sqrt{{d Space}^{2} - w^{2} - h^{2}} \cdot h) + (h \cdot w) + (\sqrt{{d Space}^{2} - w^{2} - h^{2}} \cdot w))

TSA - Total Surface Area of Cuboid?d_Space - Space Diagonal of Cuboid?w - Width of Cuboid?h - Height of Cuboid?

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

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

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

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

445.7199 = 2 \cdot ((\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 8) + (8 \cdot 6) + (\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6))

445.7199m² = 2 \cdot ((\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 8m) + (8m \cdot 6m) + (\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 6m))

445.7199 = 2 \cdot ((\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 8) + (8 \cdot 6) + (\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot ((\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 8m) + (8m \cdot 6m) + (\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 6m))

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot ((\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 8) + (8 \cdot 6) + (\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6))

Next Step Evaluate

∴

TSA = 445.71988791031m²

LAST Step Rounding Answer

∴

TSA = 445.7199m²

Total Surface Area of Cuboid given Space Diagonal, Height and Width 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

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

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

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 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 Volume, Width and Height

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

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

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

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, Height and Width?

Total Surface Area of Cuboid given Space Diagonal, Height and Width evaluator uses Total Surface Area of Cuboid = 2*((sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid)) to evaluate the Total Surface Area of Cuboid, The Total Surface Area of Cuboid given Space Diagonal, Height and Width formula is defined as the quantity of plane enclosed by the entire surface of the Cuboid, and is calculated using the space diagonal, width, 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, Height and Width using this online evaluator? To use this online evaluator for Total Surface Area of Cuboid given Space Diagonal, Height and Width, enter Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) and hit the calculate button.

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

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

The formula of Total Surface Area of Cuboid given Space Diagonal, Height and Width is expressed as Total Surface Area of Cuboid = 2*((sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid)). Here is an example- 445.7199 = 2*((sqrt(16^2-6^2-8^2)*8)+(8*6)+(sqrt(16^2-6^2-8^2)*6)).

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

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

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

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

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

Total Surface Area of Cuboid given Space Diagonal, Height and Width 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, Height and Width can be measured.

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

​GoTotal Surface Area of Cuboid Formula

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

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

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

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

Other Formulas to find Total Surface Area of Cuboid

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

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

Variable Name

GoTotal Surface Area of Cuboid Formula

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