Height of Ingot given Slant Height at Rectangular Widths Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)
h = sqrt(hSlant(Width)^2-((lLarge Rectangle-lSmall Rectangle)^2)/4)
This formula uses 1 Functions, 4 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.
Slant Height at Rectangular Widths of Ingot - (Measured in Meter) - 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.
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.
STEP 1: Convert Input(s) to Base Unit
Slant Height at Rectangular Widths of Ingot: 42 Meter --> 42 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = sqrt(hSlant(Width)^2-((lLarge Rectangle-lSmall Rectangle)^2)/4) --> sqrt(42^2-((50-20)^2)/4)
Evaluating ... ...
h = 39.2300904918661
STEP 3: Convert Result to Output's Unit
39.2300904918661 Meter --> No Conversion Required
FINAL ANSWER
39.2300904918661 39.23009 Meter <-- Height of Ingot
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 Slant Height at Rectangular Widths Formula

Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4)
h = sqrt(hSlant(Width)^2-((lLarge Rectangle-lSmall Rectangle)^2)/4)

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 Slant Height at Rectangular Widths?

Height of Ingot given Slant Height at Rectangular Widths calculator uses Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4) to calculate the Height of Ingot, Height of Ingot given Slant Height at Rectangular Widths formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its slant height at rectangular widths. Height of Ingot is denoted by h symbol.

How to calculate Height of Ingot given Slant Height at Rectangular Widths using this online calculator? To use this online calculator for Height of Ingot given Slant Height at Rectangular Widths, enter Slant Height at Rectangular Widths of Ingot (hSlant(Width)), Larger Rectangular Length of Ingot (lLarge Rectangle) & Smaller Rectangular Length of Ingot (lSmall Rectangle) and hit the calculate button. Here is how the Height of Ingot given Slant Height at Rectangular Widths calculation can be explained with given input values -> 39.23009 = sqrt(42^2-((50-20)^2)/4).

FAQ

What is Height of Ingot given Slant Height at Rectangular Widths?
Height of Ingot given Slant Height at Rectangular Widths formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its slant height at rectangular widths and is represented as h = sqrt(hSlant(Width)^2-((lLarge Rectangle-lSmall Rectangle)^2)/4) or Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4). 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, 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.
How to calculate Height of Ingot given Slant Height at Rectangular Widths?
Height of Ingot given Slant Height at Rectangular Widths formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its slant height at rectangular widths is calculated using Height of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2)/4). To calculate Height of Ingot given Slant Height at Rectangular Widths, you need Slant Height at Rectangular Widths of Ingot (hSlant(Width)), Larger Rectangular Length of Ingot (lLarge Rectangle) & Smaller Rectangular Length of Ingot (lSmall Rectangle). With our tool, you need to enter the respective value for Slant Height at Rectangular Widths of Ingot, Larger Rectangular Length of Ingot & Smaller Rectangular Length 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 Slant Height at Rectangular Widths of Ingot, Larger Rectangular Length of Ingot & Smaller Rectangular Length of Ingot. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 = 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)
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