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Total Surface Area of Ingot given Height Formula

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Total Surface Area of Ingot is the total quantity of plane enclosed on the entire surface of the Ingot. Check FAQs

TSA = (l Large Rectangle \cdot w Large Rectangle) + (l Small Rectangle \cdot w Small Rectangle) + (\sqrt{h^{2} + \frac{{(w Large Rectangle - w Small Rectangle)}^{2}}{4}} \cdot (l Large Rectangle + l Small Rectangle)) + (\sqrt{h^{2} + \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4}} \cdot (w Large Rectangle + w Small Rectangle))

TSA - Total Surface Area of Ingot?l_{Large Rectangle} - Larger Rectangular Length of Ingot?w_{Large Rectangle} - Larger Rectangular Width of Ingot?l_{Small Rectangle} - Smaller Rectangular Length of Ingot?w_{Small Rectangle} - Smaller Rectangular Width of Ingot?h - Height of Ingot?

Total Surface Area of Ingot given Height Example

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Here is how the Total Surface Area of Ingot given Height equation looks like with Values.

Here is how the Total Surface Area of Ingot given Height equation looks like with Units.

Here is how the Total Surface Area of Ingot given Height equation looks like.

5793.9943 = (50 \cdot 25) + (20 \cdot 10) + (\sqrt{40^{2} + \frac{{(25 - 10)}^{2}}{4}} \cdot (50 + 20)) + (\sqrt{40^{2} + \frac{{(50 - 20)}^{2}}{4}} \cdot (25 + 10))

5793.9943m² = (50m \cdot 25m) + (20m \cdot 10m) + (\sqrt{{40m}^{2} + \frac{{(25m - 10m)}^{2}}{4}} \cdot (50m + 20m)) + (\sqrt{{40m}^{2} + \frac{{(50m - 20m)}^{2}}{4}} \cdot (25m + 10m))

5793.9943 = (50 \cdot 25) + (20 \cdot 10) + (\sqrt{40^{2} + \frac{{(25 - 10)}^{2}}{4}} \cdot (50 + 20)) + (\sqrt{40^{2} + \frac{{(50 - 20)}^{2}}{4}} \cdot (25 + 10))

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Total Surface Area of Ingot given Height Solution

Follow our step by step solution on how to calculate Total Surface Area of Ingot given Height?

FIRST Step Consider the formula

TSA = (l Large Rectangle \cdot w Large Rectangle) + (l Small Rectangle \cdot w Small Rectangle) + (\sqrt{h^{2} + \frac{{(w Large Rectangle - w Small Rectangle)}^{2}}{4}} \cdot (l Large Rectangle + l Small Rectangle)) + (\sqrt{h^{2} + \frac{{(l Large Rectangle - l Small Rectangle)}^{2}}{4}} \cdot (w Large Rectangle + w Small Rectangle))

Next Step Substitute values of Variables

∴

TSA = (50m \cdot 25m) + (20m \cdot 10m) + (\sqrt{{40m}^{2} + \frac{{(25m - 10m)}^{2}}{4}} \cdot (50m + 20m)) + (\sqrt{{40m}^{2} + \frac{{(50m - 20m)}^{2}}{4}} \cdot (25m + 10m))

Next Step Prepare to Evaluate

∴

TSA = (50 \cdot 25) + (20 \cdot 10) + (\sqrt{40^{2} + \frac{{(25 - 10)}^{2}}{4}} \cdot (50 + 20)) + (\sqrt{40^{2} + \frac{{(50 - 20)}^{2}}{4}} \cdot (25 + 10))

Next Step Evaluate

∴

TSA = 5793.99425974802m²

LAST Step Rounding Answer

∴

TSA = 5793.9943m²

Total Surface Area of Ingot given Height Formula Elements

Variables

Functions

Total Surface Area of Ingot

Total Surface Area of Ingot is the total quantity of plane enclosed on the entire surface of the Ingot.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Ingot

Larger Rectangular Length of Ingot

Larger Rectangular Length of Ingot is the length of the longer pair of opposite sides of the larger rectangular face of the Ingot.

Symbol: l_{Large Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Larger Rectangular Length of Ingot

Larger Rectangular Width of Ingot

Larger Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the larger rectangular face of the Ingot.

Symbol: w_{Large Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Larger Rectangular Width of Ingot

Smaller Rectangular Length of Ingot

Smaller Rectangular Length of Ingot is the length of the longer pair of opposite sides of the smaller rectangular face of the Ingot.

Symbol: l_{Small Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Smaller Rectangular Length of Ingot

Smaller Rectangular Width of Ingot

Smaller Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the Ingot.

Symbol: w_{Small Rectangle}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Smaller Rectangular Width of Ingot

Height of Ingot

Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Ingot

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 Ingot

Go Total Surface Area of Ingot

TSA = (l Large Rectangle \cdot w Large Rectangle) + (l Small Rectangle \cdot w Small Rectangle) + (h Slant(Length) \cdot (l Large Rectangle + l Small Rectangle)) + (h Slant(Width) \cdot (w Large Rectangle + w Small Rectangle))

How to Evaluate Total Surface Area of Ingot given Height?

Total Surface Area of Ingot given Height evaluator uses Total Surface Area of Ingot = (Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(sqrt(Height of Ingot^2+((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(sqrt(Height of Ingot^2+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)) to evaluate the Total Surface Area of Ingot, Total Surface Area of Ingot given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Ingot, calculated using its height. Total Surface Area of Ingot is denoted by TSA symbol.

How to evaluate Total Surface Area of Ingot given Height using this online evaluator? To use this online evaluator for Total Surface Area of Ingot given Height, enter Larger Rectangular Length of Ingot (l_{Large Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Smaller Rectangular Width of Ingot (w_{Small Rectangle}) & Height of Ingot (h) and hit the calculate button.

FAQs on Total Surface Area of Ingot given Height

What is the formula to find Total Surface Area of Ingot given Height?

The formula of Total Surface Area of Ingot given Height is expressed as Total Surface Area of Ingot = (Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(sqrt(Height of Ingot^2+((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(sqrt(Height of Ingot^2+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)). Here is an example- 5793.994 = (50*25)+(20*10)+(sqrt(40^2+((25-10)^2)/4)*(50+20))+(sqrt(40^2+((50-20)^2)/4)*(25+10)).

How to calculate Total Surface Area of Ingot given Height?

With Larger Rectangular Length of Ingot (l_{Large Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Smaller Rectangular Width of Ingot (w_{Small Rectangle}) & Height of Ingot (h) we can find Total Surface Area of Ingot given Height using the formula - Total Surface Area of Ingot = (Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(sqrt(Height of Ingot^2+((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(sqrt(Height of Ingot^2+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Ingot=(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Slant Height at Rectangular Lengths of Ingot*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(Slant Height at Rectangular Widths of Ingot*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot))

Can the Total Surface Area of Ingot given Height be negative?

No, the Total Surface Area of Ingot given Height, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Ingot given Height?

Total Surface Area of Ingot given 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 Ingot given Height can be measured.

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Total Surface Area of Ingot given Height Formula

​GoTotal Surface Area of Ingot Formula

Total Surface Area of Ingot given Height Example

Total Surface Area of Ingot given Height Solution

Total Surface Area of Ingot given Height Formula Elements

Other Formulas to find Total Surface Area of Ingot

How to Evaluate Total Surface Area of Ingot given Height?

FAQs on Total Surface Area of Ingot given Height

Variable Name

GoTotal Surface Area of Ingot Formula