Height of Ingot given Space Diagonal Calculator

✖Space Diagonal of Ingot is the distance between one corner of top rectangular face and the diagonally opposite corner of the bottom rectangular face of the Ingot.ⓘ Space Diagonal of Ingot [d_Space]			+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 Space Diagonal [h]

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Height of Ingot given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h = sqrt(d_Space^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.
Space Diagonal of Ingot - (Measured in Meter) - Space Diagonal of Ingot is the distance between one corner of top rectangular face and the diagonally opposite corner of the bottom rectangular face 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

Space Diagonal of Ingot: 56 Meter --> 56 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(d_Space^2-((l_{Large Rectangle}+l_{Small Rectangle})^2)/4-((w_{Large Rectangle}+w_{Small Rectangle})^2)/4) --> sqrt(56^2-((50+20)^2)/4-((25+10)^2)/4)

Evaluating ... ...

h = 40.0593309979086

STEP 3: Convert Result to Output's Unit

40.0593309979086 Meter --> No Conversion Required

FINAL ANSWER

40.0593309979086 ≈ 40.05933 Meter <-- Height of Ingot

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Height of Ingot Calculators

Height of Ingot given Skewed Edge Length

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Space Diagonal 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 Height of Ingot given Space Diagonal?

Height of Ingot given Space Diagonal calculator uses 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) to calculate the Height of Ingot, Height of Ingot given Space Diagonal formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its space diagonal. Height of Ingot is denoted by h symbol.

How to calculate Height of Ingot given Space Diagonal using this online calculator? To use this online calculator for Height of Ingot given Space Diagonal, enter Space Diagonal of Ingot (d_Space), 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 Space Diagonal calculation can be explained with given input values -> 40.05933 = sqrt(56^2-((50+20)^2)/4-((25+10)^2)/4).

FAQ

What is Height of Ingot given Space Diagonal?

Height of Ingot given Space Diagonal formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its space diagonal and is represented as h = sqrt(d_Space^2-((l_{Large Rectangle}+l_{Small Rectangle})^2)/4-((w_{Large Rectangle}+w_{Small Rectangle})^2)/4) or 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). Space Diagonal of Ingot is the distance between one corner of top rectangular face and the diagonally opposite corner of the bottom rectangular face 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 Space Diagonal?

Height of Ingot given Space Diagonal formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its space diagonal is calculated using 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). To calculate Height of Ingot given Space Diagonal, you need Space Diagonal of Ingot (d_Space), 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 Space Diagonal 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 Space Diagonal 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(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 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)

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