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Total Surface Area of Ingot Formula

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GoTotal 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) + (h Slant(Length) \cdot (l Large Rectangle + l Small Rectangle)) + (h Slant(Width) \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_{Slant(Length)} - Slant Height at Rectangular Lengths of Ingot?h_Slant(Width) - Slant Height at Rectangular Widths of Ingot?

Total Surface Area of Ingot Example

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

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

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

5790 = (50 \cdot 25) + (20 \cdot 10) + (41 \cdot (50 + 20)) + (42 \cdot (25 + 10))

5790m² = (50m \cdot 25m) + (20m \cdot 10m) + (41m \cdot (50m + 20m)) + (42m \cdot (25m + 10m))

5790 = (50 \cdot 25) + (20 \cdot 10) + (41 \cdot (50 + 20)) + (42 \cdot (25 + 10))

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Total Surface Area of Ingot Solution

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

FIRST Step Consider the formula

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))

Next Step Substitute values of Variables

∴

TSA = (50m \cdot 25m) + (20m \cdot 10m) + (41m \cdot (50m + 20m)) + (42m \cdot (25m + 10m))

Next Step Prepare to Evaluate

∴

TSA = (50 \cdot 25) + (20 \cdot 10) + (41 \cdot (50 + 20)) + (42 \cdot (25 + 10))

LAST Step Evaluate

∴

TSA = 5790m²

Total Surface Area of Ingot Formula Elements

Variables

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.

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.

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.

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.

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.

Slant Height at Rectangular Lengths of Ingot

Slant Height at Rectangular Lengths of Ingot is the height of slanted trapezoidal faces which connects the lengths of top and bottom rectangular faces of the Ingot.

Symbol: h_{Slant(Length)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Slant Height at Rectangular Widths of Ingot

Slant Height at Rectangular Widths of Ingot is the height of slanted trapezoidal faces which connects the widths of top and bottom rectangular faces of the Ingot.

Symbol: h_Slant(Width)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Creator Image

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Formula and 2500+ more formulas!

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Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Formula and 1800+ more formulas!

Other Formulas to find Total Surface Area of Ingot

Go Total Surface Area of Ingot given Height

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))

How to Evaluate Total Surface Area of Ingot?

Total Surface Area of Ingot 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)+(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)) to evaluate the Total Surface Area of Ingot, Total Surface Area of Ingot formula is defined as the total quantity of plane enclosed on the entire surface of the Ingot. Total Surface Area of Ingot is denoted by TSA symbol.

How to evaluate Total Surface Area of Ingot using this online evaluator? To use this online evaluator for Total Surface Area of Ingot, 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}), Slant Height at Rectangular Lengths of Ingot (h_{Slant(Length)}) & Slant Height at Rectangular Widths of Ingot (h_Slant(Width)) and hit the calculate button.

FAQs on Total Surface Area of Ingot

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

The formula of Total Surface Area of Ingot 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)+(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)). Here is an example- 5790 = (50*25)+(20*10)+(41*(50+20))+(42*(25+10)).

How to calculate Total Surface Area of Ingot?

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}), Slant Height at Rectangular Lengths of Ingot (h_{Slant(Length)}) & Slant Height at Rectangular Widths of Ingot (h_Slant(Width)) we can find Total Surface Area of Ingot 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)+(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)).

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)+(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))

Can the Total Surface Area of Ingot be negative?

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

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

Total Surface Area of Ingot 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 can be measured.

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