Height of Ingot given Skewed Edge Length Calculator

✖Skewed Edge Length of Ingot is the length of any of the lateral edges which connects the corners of top and bottom rectangular faces of the Ingot.ⓘ Skewed Edge Length of Ingot [l_e(Skewed)]			+10% -10%
✖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%
✖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%
✖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 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 given Skewed Edge Length [h]

⎘ Copy

👎

Formula

✖

Height of Ingot given Skewed Edge Length

Formula

`"h" = sqrt("l"_{"e(Skewed)"}^2-(("l"_{"Large Rectangle"}-"l"_{"Small Rectangle"})^2)/4-(("w"_{"Large Rectangle"}-"w"_{"Small Rectangle"})^2)/4)`

Example

`"39.59482m"=sqrt(("43m")^2-(("50m"-"20m")^2)/4-(("25m"-"10m")^2)/4)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Height of Ingot given Skewed Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Ingot = sqrt(Skewed Edge Length 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)^2)/4)
h = sqrt(l_e(Skewed)^2-((l_{Large Rectangle}-l_{Small Rectangle})^2)/4-((w_{Large Rectangle}-w_{Small Rectangle})^2)/4)
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

Height of Ingot - (Measured in Meter) - Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.
Skewed Edge Length of Ingot - (Measured in Meter) - Skewed Edge Length of Ingot is the length of any of the lateral edges which connects the corners of top and bottom rectangular faces 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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Skewed Edge Length of Ingot: 43 Meter --> 43 Meter No Conversion Required
Larger Rectangular Length of Ingot: 50 Meter --> 50 Meter No Conversion Required
Smaller Rectangular Length of Ingot: 20 Meter --> 20 Meter No Conversion Required
Larger Rectangular Width of Ingot: 25 Meter --> 25 Meter No Conversion Required
Smaller Rectangular Width of Ingot: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(l_e(Skewed)^2-((l_{Large Rectangle}-l_{Small Rectangle})^2)/4-((w_{Large Rectangle}-w_{Small Rectangle})^2)/4) --> sqrt(43^2-((50-20)^2)/4-((25-10)^2)/4)

Evaluating ... ...

h = 39.5948228939087

STEP 3: Convert Result to Output's Unit

39.5948228939087 Meter --> No Conversion Required

FINAL ANSWER

39.5948228939087 ≈ 39.59482 Meter <-- Height of Ingot

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Ingot » Height of Ingot » Height of Ingot given Skewed Edge Length

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 4 Height of Ingot Calculators

Height of Ingot given Skewed Edge Length

Go Height of Ingot = sqrt(Skewed Edge Length 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)^2)/4)

Height of Ingot given Space Diagonal

Go Height of Ingot = sqrt(Space Diagonal 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)^2)/4)

Height of Ingot given Slant Height at Rectangular Widths

Go Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)

Height of Ingot given Slant Height at Rectangular Lengths

Go Height of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)

Height of Ingot given Skewed Edge Length Formula

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 Height of Ingot given Skewed Edge Length?

Height of Ingot given Skewed Edge Length calculator uses Height of Ingot = sqrt(Skewed Edge Length 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)^2)/4) to calculate the Height of Ingot, Height of Ingot given Skewed Edge Length formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its skewed edge length. Height of Ingot is denoted by h symbol.

How to calculate Height of Ingot given Skewed Edge Length using this online calculator? To use this online calculator for Height of Ingot given Skewed Edge Length, enter Skewed Edge Length of Ingot (l_e(Skewed)), Larger Rectangular Length of Ingot (l_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}) & Smaller Rectangular Width of Ingot (w_{Small Rectangle}) and hit the calculate button. Here is how the Height of Ingot given Skewed Edge Length calculation can be explained with given input values -> 39.59482 = sqrt(43^2-((50-20)^2)/4-((25-10)^2)/4).

FAQ

What is Height of Ingot given Skewed Edge Length?

Height of Ingot given Skewed Edge Length formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its skewed edge length and is represented as h = sqrt(l_e(Skewed)^2-((l_{Large Rectangle}-l_{Small Rectangle})^2)/4-((w_{Large Rectangle}-w_{Small Rectangle})^2)/4) or Height of Ingot = sqrt(Skewed Edge Length 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)^2)/4). Skewed Edge Length of Ingot is the length of any of the lateral edges which connects the corners of top and bottom rectangular faces of the Ingot, Larger Rectangular Length of Ingot is the length of the longer 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, 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 Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the Ingot.

How to calculate Height of Ingot given Skewed Edge Length?

Height of Ingot given Skewed Edge Length formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its skewed edge length is calculated using Height of Ingot = sqrt(Skewed Edge Length 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)^2)/4). To calculate Height of Ingot given Skewed Edge Length, you need Skewed Edge Length of Ingot (l_e(Skewed)), Larger Rectangular Length of Ingot (l_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}) & Smaller Rectangular Width of Ingot (w_{Small Rectangle}). With our tool, you need to enter the respective value for Skewed Edge Length of Ingot, Larger Rectangular Length of Ingot, Smaller Rectangular Length of Ingot, Larger Rectangular Width of Ingot & Smaller Rectangular Width 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 Height of Ingot?

In this formula, Height of Ingot uses Skewed Edge Length of Ingot, Larger Rectangular Length of Ingot, Smaller Rectangular Length of Ingot, Larger Rectangular Width of Ingot & Smaller Rectangular Width of Ingot. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)
Height of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)
Height of Ingot = sqrt(Space Diagonal 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)^2)/4)

Home

FREE PDFs

🔍 Search