Volume of Ingot given Slant Height at Rectangular Lengths Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
V = sqrt(hSlant(Length)^2-((wLarge Rectangle-wSmall Rectangle)^2)/4)/3*((lLarge Rectangle*wLarge Rectangle)+sqrt(lLarge Rectangle*wLarge Rectangle*lSmall Rectangle*wSmall Rectangle)+(lSmall Rectangle*wSmall 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 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.
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 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
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
V = sqrt(hSlant(Length)^2-((wLarge Rectangle-wSmall Rectangle)^2)/4)/3*((lLarge Rectangle*wLarge Rectangle)+sqrt(lLarge Rectangle*wLarge Rectangle*lSmall Rectangle*wSmall Rectangle)+(lSmall Rectangle*wSmall Rectangle)) --> sqrt(41^2-((25-10)^2)/4)/3*((50*25)+sqrt(50*25*20*10)+(20*10))
Evaluating ... ...
V = 26200.3220400055
STEP 3: Convert Result to Output's Unit
26200.3220400055 Cubic Meter --> No Conversion Required
FINAL ANSWER
26200.3220400055 26200.32 Cubic Meter <-- Volume of Ingot
(Calculation completed in 00.020 seconds)

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5 Volume of Ingot Calculators

Volume of Ingot given Skewed Edge Length
Go Volume 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)/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 Space Diagonal
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
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
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
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 Lengths Formula

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))
V = sqrt(hSlant(Length)^2-((wLarge Rectangle-wSmall Rectangle)^2)/4)/3*((lLarge Rectangle*wLarge Rectangle)+sqrt(lLarge Rectangle*wLarge Rectangle*lSmall Rectangle*wSmall Rectangle)+(lSmall Rectangle*wSmall Rectangle))

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 Lengths?

Volume of Ingot given Slant Height at Rectangular Lengths calculator uses 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)) to calculate the Volume of Ingot, Volume of Ingot given Slant Height at Rectangular Lengths 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 lengths. Volume of Ingot is denoted by V symbol.

How to calculate Volume of Ingot given Slant Height at Rectangular Lengths using this online calculator? To use this online calculator for Volume of Ingot given Slant Height at Rectangular Lengths, enter Slant Height at Rectangular Lengths of Ingot (hSlant(Length)), Larger Rectangular Width of Ingot (wLarge Rectangle), Smaller Rectangular Width of Ingot (wSmall Rectangle), Larger Rectangular Length of Ingot (lLarge Rectangle) & Smaller Rectangular Length of Ingot (lSmall Rectangle) and hit the calculate button. Here is how the Volume of Ingot given Slant Height at Rectangular Lengths calculation can be explained with given input values -> 26200.32 = sqrt(41^2-((25-10)^2)/4)/3*((50*25)+sqrt(50*25*20*10)+(20*10)).

FAQ

What is Volume of Ingot given Slant Height at Rectangular Lengths?
Volume of Ingot given Slant Height at Rectangular Lengths 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 lengths and is represented as V = sqrt(hSlant(Length)^2-((wLarge Rectangle-wSmall Rectangle)^2)/4)/3*((lLarge Rectangle*wLarge Rectangle)+sqrt(lLarge Rectangle*wLarge Rectangle*lSmall Rectangle*wSmall Rectangle)+(lSmall Rectangle*wSmall Rectangle)) or 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)). 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, 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 Volume of Ingot given Slant Height at Rectangular Lengths?
Volume of Ingot given Slant Height at Rectangular Lengths 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 lengths is calculated using 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)). To calculate Volume of Ingot given Slant Height at Rectangular Lengths, you need Slant Height at Rectangular Lengths of Ingot (hSlant(Length)), Larger Rectangular Width of Ingot (wLarge Rectangle), Smaller Rectangular Width of Ingot (wSmall Rectangle), 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 Lengths of Ingot, Larger Rectangular Width of Ingot, Smaller Rectangular Width 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 Volume of Ingot?
In this formula, Volume of Ingot uses Slant Height at Rectangular Lengths of Ingot, Larger Rectangular Width of Ingot, Smaller Rectangular Width of Ingot, Larger Rectangular Length of Ingot & Smaller Rectangular Length of Ingot. We can use 4 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 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 = 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 = 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)/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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