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

GoLateral Surface Area of Cuboid Formula

GoLateral Surface Area of Cuboid given Volume, Length and Width Formula

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The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid. Check FAQs

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

LSA - Lateral Surface Area of Cuboid?d_Space - Space Diagonal of Cuboid?l - Length of Cuboid?w - Width of Cuboid?

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

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

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

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

313.8407 = 2 \cdot \sqrt{16^{2} - 12^{2} - 6^{2}} \cdot (12 + 6)

313.8407m² = 2 \cdot \sqrt{{16m}^{2} - {12m}^{2} - {6m}^{2}} \cdot (12m + 6m)

313.8407 = 2 \cdot \sqrt{16^{2} - 12^{2} - 6^{2}} \cdot (12 + 6)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 2 \cdot \sqrt{{16m}^{2} - {12m}^{2} - {6m}^{2}} \cdot (12m + 6m)

Next Step Prepare to Evaluate

∴

LSA = 2 \cdot \sqrt{16^{2} - 12^{2} - 6^{2}} \cdot (12 + 6)

Next Step Evaluate

∴

LSA = 313.840723934929m²

LAST Step Rounding Answer

∴

LSA = 313.8407m²

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

Variables

Functions

Lateral Surface Area of Cuboid

The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral 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

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

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 Lateral Surface Area of Cuboid

Go Lateral Surface Area of Cuboid

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

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

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

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

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

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

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

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

Lateral Surface Area of Cuboid given Space Diagonal, Length and Width evaluator uses Lateral Surface Area of Cuboid = 2*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)*(Length of Cuboid+Width of Cuboid) to evaluate the Lateral Surface Area of Cuboid, The Lateral Surface Area of Cuboid given Space Diagonal, Length and Width formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid, and is calculated using the space diagonal, length, and width of the Cuboid. Lateral Surface Area of Cuboid is denoted by LSA symbol.

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

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

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

The formula of Lateral Surface Area of Cuboid given Space Diagonal, Length and Width is expressed as Lateral Surface Area of Cuboid = 2*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)*(Length of Cuboid+Width of Cuboid). Here is an example- 313.8407 = 2*sqrt(16^2-12^2-6^2)*(12+6).

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

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

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

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

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

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

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

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

Lateral Surface Area of Cuboid given Space Diagonal, Length 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 Lateral Surface Area of Cuboid given Space Diagonal, Length and Width can be measured.

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

​GoLateral Surface Area of Cuboid Formula

​GoLateral Surface Area of Cuboid given Volume, Length and Width Formula

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

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

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

Other Formulas to find Lateral Surface Area of Cuboid

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

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

Variable Name

GoLateral Surface Area of Cuboid Formula

GoLateral Surface Area of Cuboid given Volume, Length and Width Formula