Height of Ingot given Slant Height at Rectangular Lengths Calculator

✖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.ⓘ Slant Height at Rectangular Lengths of Ingot [h_{Slant(Length)}]			+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 Slant Height at Rectangular Lengths [h]

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Height of Ingot given Slant Height at Rectangular Lengths Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)
h = sqrt(h_{Slant(Length)}^2-((w_{Large Rectangle}-w_{Small 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 Lengths of Ingot - (Measured in Meter) - 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.
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

Slant Height at Rectangular Lengths of Ingot: 41 Meter --> 41 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(h_{Slant(Length)}^2-((w_{Large Rectangle}-w_{Small Rectangle})^2)/4) --> sqrt(41^2-((25-10)^2)/4)

Evaluating ... ...

h = 40.3081877538547

STEP 3: Convert Result to Output's Unit

40.3081877538547 Meter --> No Conversion Required

FINAL ANSWER

40.3081877538547 ≈ 40.30819 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 Slant Height at Rectangular Lengths 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 Slant Height at Rectangular Lengths?

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

How to calculate Height of Ingot given Slant Height at Rectangular Lengths using this online calculator? To use this online calculator for Height of Ingot given Slant Height at Rectangular Lengths, enter Slant Height at Rectangular Lengths of Ingot (h_{Slant(Length)}), 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 Slant Height at Rectangular Lengths calculation can be explained with given input values -> 40.30819 = sqrt(41^2-((25-10)^2)/4).

FAQ

What is Height of Ingot given Slant Height at Rectangular Lengths?

Height of Ingot given Slant Height at Rectangular Lengths formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its slant height at rectangular lengths and is represented as h = sqrt(h_{Slant(Length)}^2-((w_{Large Rectangle}-w_{Small Rectangle})^2)/4) or Height of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4). 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, 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 Slant Height at Rectangular Lengths?

Height of Ingot given Slant Height at Rectangular Lengths formula is defined as the vertical distance between the top and bottom rectangular faces of the Ingot, calculated using its slant height at rectangular lengths is calculated using Height of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4). To calculate Height of Ingot given Slant Height at Rectangular Lengths, you need Slant Height at Rectangular Lengths of Ingot (h_{Slant(Length)}), 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 Slant Height at Rectangular Lengths 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 Slant Height at Rectangular Lengths 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(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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