Space Diagonal of Ingot Calculator

✖Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.ⓘ Height of Ingot [h]			+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%

✖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]

⎘ Copy

👎

Formula

✖

Space Diagonal of Ingot

Formula

`"d"_{"Space"} = sqrt("h"^2+("l"_{"Large Rectangle"}+"l"_{"Small Rectangle"})^2/4+("w"_{"Large Rectangle"}+"w"_{"Small Rectangle"})^2/4)`

Example

`"55.95757m"=sqrt(("40m")^2+("50m"+"20m")^2/4+("25m"+"10m")^2/4)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Space Diagonal of Ingot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal 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)^2/4)
d_Space = sqrt(h^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

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.
Height of Ingot - (Measured in Meter) - Height of Ingot is the vertical distance between the 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

Height of Ingot: 40 Meter --> 40 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

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

Evaluating ... ...

d_Space = 55.9575732139985

STEP 3: Convert Result to Output's Unit

55.9575732139985 Meter --> No Conversion Required

FINAL ANSWER

55.9575732139985 ≈ 55.95757 Meter <-- Space Diagonal of Ingot

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Ingot » Space Diagonal of Ingot » Space Diagonal of Ingot

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 1 Space Diagonal of Ingot Calculators

Space Diagonal of Ingot

Go Space Diagonal 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)^2/4)

Space Diagonal of Ingot 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 Space Diagonal of Ingot?

Space Diagonal of Ingot calculator uses Space Diagonal 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)^2/4) to calculate the Space Diagonal of Ingot, Space Diagonal of Ingot formula is defined as 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 is denoted by d_Space symbol.

How to calculate Space Diagonal of Ingot using this online calculator? To use this online calculator for Space Diagonal of Ingot, enter Height of Ingot (h), 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 Space Diagonal of Ingot calculation can be explained with given input values -> 55.95757 = sqrt(40^2+(50+20)^2/4+(25+10)^2/4).

FAQ

What is Space Diagonal of Ingot?

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

Space Diagonal of Ingot formula is defined as the distance between one corner of top rectangular face and the diagonally opposite corner of the bottom rectangular face of the Ingot is calculated using Space Diagonal 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)^2/4). To calculate Space Diagonal of Ingot, you need Height of Ingot (h), 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 Height 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.

Home

FREE PDFs

🔍 Search