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Perimeter of Cuboid given Total Surface Area, 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 (\frac{\frac{TSA}{2} - (h \cdot w)}{h + w} + w + h)

P - Perimeter of Cuboid?TSA - Total Surface Area of Cuboid?h - Height of Cuboid?w - Width of Cuboid?

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

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

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

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

106.5714 = 4 \cdot (\frac{\frac{450}{2} - (8 \cdot 6)}{8 + 6} + 6 + 8)

106.5714m = 4 \cdot (\frac{\frac{450m²}{2} - (8m \cdot 6m)}{8m + 6m} + 6m + 8m)

106.5714 = 4 \cdot (\frac{\frac{450}{2} - (8 \cdot 6)}{8 + 6} + 6 + 8)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 4 \cdot (\frac{\frac{450m²}{2} - (8m \cdot 6m)}{8m + 6m} + 6m + 8m)

Next Step Prepare to Evaluate

∴

P = 4 \cdot (\frac{\frac{450}{2} - (8 \cdot 6)}{8 + 6} + 6 + 8)

Next Step Evaluate

∴

P = 106.571428571429m

LAST Step Rounding Answer

∴

P = 106.5714m

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

Variables

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

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

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

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

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 Space Diagonal, Height, and Length

P = 4 \cdot (l + \sqrt{{d Space}^{2} - l^{2} - h^{2}} + 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 Total Surface Area, Height, and Width?

Perimeter of Cuboid given Total Surface Area, Height, and Width evaluator uses 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) to evaluate the Perimeter of Cuboid, The Perimeter of Cuboid given Total Surface Area, Height, and Width formula is defined as the total distance around the edge of the Cuboid, and is calculated using the total surface area, height, and width of the Cuboid. Perimeter of Cuboid is denoted by P symbol.

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

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

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

The formula of Perimeter of Cuboid given Total Surface Area, Height, and Width is expressed as 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). Here is an example- 106.5714 = 4*((450/2-(8*6))/(8+6)+6+8).

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

With Total Surface Area of Cuboid (TSA), Height of Cuboid (h) & Width of Cuboid (w) we can find Perimeter of Cuboid given Total Surface Area, Height, and Width using the formula - 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).

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*(Length of Cuboid+sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)+Height of Cuboid)

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

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

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

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

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

​GoPerimeter of Cuboid Formula

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

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

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

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

Other Formulas to find Perimeter of Cuboid

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

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

Variable Name

GoPerimeter of Cuboid Formula

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