Volume of Ingot given Slant Height at Rectangular Widths Calculator

✖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.ⓘ Slant Height at Rectangular Widths of Ingot [h_Slant(Width)]			+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%

✖Volume of Ingot is the total quantity of three dimensional space enclosed by the surface of the Ingot.ⓘ Volume of Ingot given Slant Height at Rectangular Widths [V]

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Volume of Ingot given Slant Height at Rectangular Widths Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))
V = sqrt(h_Slant(Width)^2-(l_{Large Rectangle}-l_{Small Rectangle})^2/4)/3*((l_{Large Rectangle}*w_{Large Rectangle})+sqrt(l_{Large Rectangle}*w_{Large Rectangle}*l_{Small Rectangle}*w_{Small Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle}))
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

Volume of Ingot - (Measured in Cubic Meter) - Volume of Ingot is the total quantity of three dimensional space enclosed by the surface 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.
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 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
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

V = sqrt(h_Slant(Width)^2-(l_{Large Rectangle}-l_{Small Rectangle})^2/4)/3*((l_{Large Rectangle}*w_{Large Rectangle})+sqrt(l_{Large Rectangle}*w_{Large Rectangle}*l_{Small Rectangle}*w_{Small Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})) --> sqrt(42^2-(50-20)^2/4)/3*((50*25)+sqrt(50*25*20*10)+(20*10))

Evaluating ... ...

V = 25499.5588197129

STEP 3: Convert Result to Output's Unit

25499.5588197129 Cubic Meter --> No Conversion Required

FINAL ANSWER

25499.5588197129 ≈ 25499.56 Cubic Meter <-- Volume of Ingot

(Calculation completed in 00.007 seconds)

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< Volume of Ingot Calculators

Volume of Ingot given Space Diagonal

LaTeX Go Volume 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)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))

Volume of Ingot given Slant Height at Rectangular Lengths

LaTeX Go Volume of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))

Volume of Ingot given Slant Height at Rectangular Widths

LaTeX Go Volume of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))

Volume of Ingot

LaTeX Go Volume of Ingot = Height of Ingot/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))

Volume of Ingot given Slant Height at Rectangular Widths 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 Volume of Ingot given Slant Height at Rectangular Widths?

Volume of Ingot given Slant Height at Rectangular Widths calculator uses Volume of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)) to calculate the Volume of Ingot, Volume of Ingot given Slant Height at Rectangular Widths formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Ingot, calculated using its slant height at rectangular widths. Volume of Ingot is denoted by V symbol.

How to calculate Volume of Ingot given Slant Height at Rectangular Widths using this online calculator? To use this online calculator for Volume of Ingot given Slant Height at Rectangular Widths, enter Slant Height at Rectangular Widths of Ingot (h_Slant(Width)), 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 Volume of Ingot given Slant Height at Rectangular Widths calculation can be explained with given input values -> 25499.56 = sqrt(42^2-(50-20)^2/4)/3*((50*25)+sqrt(50*25*20*10)+(20*10)).

FAQ

What is Volume of Ingot given Slant Height at Rectangular Widths?

Volume of Ingot given Slant Height at Rectangular Widths formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Ingot, calculated using its slant height at rectangular widths and is represented as V = sqrt(h_Slant(Width)^2-(l_{Large Rectangle}-l_{Small Rectangle})^2/4)/3*((l_{Large Rectangle}*w_{Large Rectangle})+sqrt(l_{Large Rectangle}*w_{Large Rectangle}*l_{Small Rectangle}*w_{Small Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})) or Volume of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)). 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, 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 Volume of Ingot given Slant Height at Rectangular Widths?

Volume of Ingot given Slant Height at Rectangular Widths formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Ingot, calculated using its slant height at rectangular widths is calculated using Volume of Ingot = sqrt(Slant Height at Rectangular Widths of Ingot^2-(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)^2/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)). To calculate Volume of Ingot given Slant Height at Rectangular Widths, you need Slant Height at Rectangular Widths of Ingot (h_Slant(Width)), 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 Slant Height at Rectangular Widths 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 Volume of Ingot?

In this formula, Volume of Ingot uses Slant Height at Rectangular Widths 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 -

Volume of Ingot = Height of Ingot/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))
Volume of Ingot = sqrt(Slant Height at Rectangular Lengths of Ingot^2-((Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)^2)/4)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))
Volume 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)/3*((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+sqrt(Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot*Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot))

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