Total Surface Area of Ingot given Height Calculator

✖Larger Rectangular Length of Ingot is the length of the longer pair of opposite sides of the larger rectangular face of the Ingot.ⓘ Larger Rectangular Length of Ingot [l_{Large Rectangle}]			+10% -10%
✖Larger Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the larger rectangular face of the Ingot.ⓘ Larger Rectangular Width of Ingot [w_{Large Rectangle}]			+10% -10%
✖Smaller Rectangular Length of Ingot is the length of the longer pair of opposite sides of the smaller rectangular face of the Ingot.ⓘ Smaller Rectangular Length of Ingot [l_{Small Rectangle}]			+10% -10%
✖Smaller Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the Ingot.ⓘ Smaller Rectangular Width of Ingot [w_{Small Rectangle}]			+10% -10%
✖Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.ⓘ Height of Ingot [h]			+10% -10%

✖Total Surface Area of Ingot is the total quantity of plane enclosed on the entire surface of the Ingot.ⓘ Total Surface Area of Ingot given Height [TSA]

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Total Surface Area of Ingot given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = (l_{Large Rectangle}*w_{Large Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})+(sqrt(h^2+((w_{Large Rectangle}-w_{Small Rectangle})^2)/4)*(l_{Large Rectangle}+l_{Small Rectangle}))+(sqrt(h^2+((l_{Large Rectangle}-l_{Small Rectangle})^2)/4)*(w_{Large Rectangle}+w_{Small Rectangle}))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Total Surface Area of Ingot - (Measured in Square Meter) - Total Surface Area of Ingot is the total quantity of plane enclosed on the entire surface of the Ingot.
Larger Rectangular Length of Ingot - (Measured in Meter) - Larger Rectangular Length of Ingot is the length of the longer pair of opposite sides of the larger rectangular face of the Ingot.
Larger Rectangular Width of Ingot - (Measured in Meter) - Larger Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the larger rectangular face of the Ingot.
Smaller Rectangular Length of Ingot - (Measured in Meter) - Smaller Rectangular Length of Ingot is the length of the longer pair of opposite sides of the smaller rectangular face of the Ingot.
Smaller Rectangular Width of Ingot - (Measured in Meter) - Smaller Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the Ingot.
Height of Ingot - (Measured in Meter) - Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.

STEP 1: Convert Input(s) to Base Unit

Larger Rectangular Length of Ingot: 50 Meter --> 50 Meter No Conversion Required
Larger Rectangular Width of Ingot: 25 Meter --> 25 Meter No Conversion Required
Smaller Rectangular Length of Ingot: 20 Meter --> 20 Meter No Conversion Required
Smaller Rectangular Width of Ingot: 10 Meter --> 10 Meter No Conversion Required
Height of Ingot: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (l_{Large Rectangle}*w_{Large Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})+(sqrt(h^2+((w_{Large Rectangle}-w_{Small Rectangle})^2)/4)*(l_{Large Rectangle}+l_{Small Rectangle}))+(sqrt(h^2+((l_{Large Rectangle}-l_{Small Rectangle})^2)/4)*(w_{Large Rectangle}+w_{Small Rectangle})) --> (50*25)+(20*10)+(sqrt(40^2+((25-10)^2)/4)*(50+20))+(sqrt(40^2+((50-20)^2)/4)*(25+10))

Evaluating ... ...

TSA = 5793.99425974802

STEP 3: Convert Result to Output's Unit

5793.99425974802 Square Meter --> No Conversion Required

FINAL ANSWER

5793.99425974802 ≈ 5793.994 Square Meter <-- Total Surface Area of Ingot

(Calculation completed in 00.020 seconds)

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< Total Surface Area of Ingot Calculators

Total Surface Area of Ingot given Height

LaTeX Go 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))

Total Surface Area of Ingot

LaTeX Go 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))

Total Surface Area of Ingot given Height Formula

LaTeX Go

What is Ingot?

A polyhedron shaped like an Ingot is made of two regularly opposite, parallel rectangles. These have the same ratio of length and width and are connected at their corners. It has 6 faces (2 rectangles, 4 isosceles trapezoids), 12 edges and 8 vertices.

How to Calculate Total Surface Area of Ingot given Height?

Total Surface Area of Ingot given Height calculator 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 calculate 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 calculate Total Surface Area of Ingot given Height using this online calculator? To use this online calculator 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. Here is how the Total Surface Area of Ingot given Height calculation can be explained with given input values -> 5793.994 = (50*25)+(20*10)+(sqrt(40^2+((25-10)^2)/4)*(50+20))+(sqrt(40^2+((50-20)^2)/4)*(25+10)).

FAQ

What is Total Surface Area of Ingot given Height?

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 and is represented as TSA = (l_{Large Rectangle}*w_{Large Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})+(sqrt(h^2+((w_{Large Rectangle}-w_{Small Rectangle})^2)/4)*(l_{Large Rectangle}+l_{Small Rectangle}))+(sqrt(h^2+((l_{Large Rectangle}-l_{Small Rectangle})^2)/4)*(w_{Large Rectangle}+w_{Small Rectangle})) or 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)). Larger Rectangular Length of Ingot is the length of the longer pair of opposite sides of the larger rectangular face of the Ingot, Larger Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the larger rectangular face of the Ingot, Smaller Rectangular Length of Ingot is the length of the longer pair of opposite sides of the smaller rectangular face of the Ingot, Smaller Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the Ingot & Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.

How to calculate Total Surface Area of Ingot given Height?

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 is calculated using 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 calculate Total Surface Area of Ingot given Height, you need 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). With our tool, you need to enter the respective value for Larger Rectangular Length of Ingot, Larger Rectangular Width of Ingot, Smaller Rectangular Length of Ingot, Smaller Rectangular Width of Ingot & Height of Ingot and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Ingot?

In this formula, Total Surface Area of Ingot uses Larger Rectangular Length of Ingot, Larger Rectangular Width of Ingot, Smaller Rectangular Length of Ingot, Smaller Rectangular Width of Ingot & Height of Ingot. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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