Surface to Volume Ratio of Ingot Calculator

✖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%
✖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 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%
✖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%
✖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%
✖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%
✖Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.ⓘ Height of Ingot [h]			+10% -10%

✖Surface to Volume Ratio of Ingot is the numerical ratio of the total surface area of an Ingot to the volume of the Ingot.ⓘ Surface to Volume Ratio of Ingot [R_A/V]

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Surface to Volume Ratio of Ingot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Ingot = ((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Slant Height at Rectangular Lengths of Ingot*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(Slant Height at Rectangular Widths of Ingot*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)))/((Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot*Height of Ingot)+(Smaller Rectangular Length of Ingot*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/2)+(Smaller Rectangular Width of Ingot*(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*Height of Ingot/2)+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/3))
R_A/V = ((l_{Large Rectangle}*w_{Large Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})+(h_{Slant(Length)}*(l_{Large Rectangle}+l_{Small Rectangle}))+(h_Slant(Width)*(w_{Large Rectangle}+w_{Small Rectangle})))/((l_{Small Rectangle}*w_{Small Rectangle}*h)+(l_{Small Rectangle}*(w_{Large Rectangle}-w_{Small Rectangle})*h/2)+(w_{Small Rectangle}*(l_{Large Rectangle}-l_{Small Rectangle})*h/2)+((l_{Large Rectangle}-l_{Small Rectangle})*(w_{Large Rectangle}-w_{Small Rectangle})*h/3))
This formula uses 8 Variables

Variables Used

Surface to Volume Ratio of Ingot - (Measured in 1 per Meter) - Surface to Volume Ratio of Ingot is the numerical ratio of the total surface area of an Ingot to the volume 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.
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 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.
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.
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.
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.
Height of Ingot - (Measured in Meter) - Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.

STEP 1: Convert Input(s) to Base Unit

Larger Rectangular Length of Ingot: 50 Meter --> 50 Meter No Conversion Required
Larger Rectangular Width of Ingot: 25 Meter --> 25 Meter No Conversion Required
Smaller Rectangular Length of Ingot: 20 Meter --> 20 Meter No Conversion Required
Smaller Rectangular Width of Ingot: 10 Meter --> 10 Meter No Conversion Required
Slant Height at Rectangular Lengths of Ingot: 41 Meter --> 41 Meter No Conversion Required
Slant Height at Rectangular Widths of Ingot: 42 Meter --> 42 Meter No Conversion Required
Height of Ingot: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((l_{Large Rectangle}*w_{Large Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})+(h_{Slant(Length)}*(l_{Large Rectangle}+l_{Small Rectangle}))+(h_Slant(Width)*(w_{Large Rectangle}+w_{Small Rectangle})))/((l_{Small Rectangle}*w_{Small Rectangle}*h)+(l_{Small Rectangle}*(w_{Large Rectangle}-w_{Small Rectangle})*h/2)+(w_{Small Rectangle}*(l_{Large Rectangle}-l_{Small Rectangle})*h/2)+((l_{Large Rectangle}-l_{Small Rectangle})*(w_{Large Rectangle}-w_{Small Rectangle})*h/3)) --> ((50*25)+(20*10)+(41*(50+20))+(42*(25+10)))/((20*10*40)+(20*(25-10)*40/2)+(10*(50-20)*40/2)+((50-20)*(25-10)*40/3))

Evaluating ... ...

R_A/V = 0.222692307692308

STEP 3: Convert Result to Output's Unit

0.222692307692308 1 per Meter --> No Conversion Required

FINAL ANSWER

0.222692307692308 ≈ 0.222692 1 per Meter <-- Surface to Volume Ratio of Ingot

(Calculation completed in 00.008 seconds)

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< Surface to Volume Ratio and Length to Width Ratio of Rectangles Calculators

Surface to Volume Ratio of Ingot

LaTeX Go Surface to Volume Ratio of Ingot = ((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Slant Height at Rectangular Lengths of Ingot*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(Slant Height at Rectangular Widths of Ingot*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)))/((Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot*Height of Ingot)+(Smaller Rectangular Length of Ingot*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/2)+(Smaller Rectangular Width of Ingot*(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*Height of Ingot/2)+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/3))

Length to Width Ratio of Ingot

LaTeX Go Length to Width Ratio of Rectangles of Ingot = Larger Rectangular Length of Ingot/Larger Rectangular Width of Ingot

Surface to Volume Ratio of Ingot 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 Surface to Volume Ratio of Ingot?

Surface to Volume Ratio of Ingot calculator uses Surface to Volume Ratio of Ingot = ((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Slant Height at Rectangular Lengths of Ingot*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(Slant Height at Rectangular Widths of Ingot*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)))/((Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot*Height of Ingot)+(Smaller Rectangular Length of Ingot*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/2)+(Smaller Rectangular Width of Ingot*(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*Height of Ingot/2)+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/3)) to calculate the Surface to Volume Ratio of Ingot, Surface to Volume Ratio of Ingot formula is defined as the numerical ratio of the total surface area of an Ingot to the volume of the Ingot. Surface to Volume Ratio of Ingot is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Ingot using this online calculator? To use this online calculator for Surface to Volume Ratio of Ingot, enter Larger Rectangular Length of Ingot (l_{Large Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Smaller Rectangular Width of Ingot (w_{Small Rectangle}), Slant Height at Rectangular Lengths of Ingot (h_{Slant(Length)}), Slant Height at Rectangular Widths of Ingot (h_Slant(Width)) & Height of Ingot (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Ingot calculation can be explained with given input values -> 0.222692 = ((50*25)+(20*10)+(41*(50+20))+(42*(25+10)))/((20*10*40)+(20*(25-10)*40/2)+(10*(50-20)*40/2)+((50-20)*(25-10)*40/3)).

FAQ

What is Surface to Volume Ratio of Ingot?

Surface to Volume Ratio of Ingot formula is defined as the numerical ratio of the total surface area of an Ingot to the volume of the Ingot and is represented as R_A/V = ((l_{Large Rectangle}*w_{Large Rectangle})+(l_{Small Rectangle}*w_{Small Rectangle})+(h_{Slant(Length)}*(l_{Large Rectangle}+l_{Small Rectangle}))+(h_Slant(Width)*(w_{Large Rectangle}+w_{Small Rectangle})))/((l_{Small Rectangle}*w_{Small Rectangle}*h)+(l_{Small Rectangle}*(w_{Large Rectangle}-w_{Small Rectangle})*h/2)+(w_{Small Rectangle}*(l_{Large Rectangle}-l_{Small Rectangle})*h/2)+((l_{Large Rectangle}-l_{Small Rectangle})*(w_{Large Rectangle}-w_{Small Rectangle})*h/3)) or Surface to Volume Ratio of Ingot = ((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Slant Height at Rectangular Lengths of Ingot*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(Slant Height at Rectangular Widths of Ingot*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)))/((Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot*Height of Ingot)+(Smaller Rectangular Length of Ingot*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/2)+(Smaller Rectangular Width of Ingot*(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*Height of Ingot/2)+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/3)). 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 Width of Ingot is the length of the shorter 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, Smaller Rectangular Width of Ingot is the length of the shorter pair of opposite sides of the smaller rectangular face of the 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, 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 & Height of Ingot is the vertical distance between the top and bottom rectangular faces of the Ingot.

How to calculate Surface to Volume Ratio of Ingot?

Surface to Volume Ratio of Ingot formula is defined as the numerical ratio of the total surface area of an Ingot to the volume of the Ingot is calculated using Surface to Volume Ratio of Ingot = ((Larger Rectangular Length of Ingot*Larger Rectangular Width of Ingot)+(Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot)+(Slant Height at Rectangular Lengths of Ingot*(Larger Rectangular Length of Ingot+Smaller Rectangular Length of Ingot))+(Slant Height at Rectangular Widths of Ingot*(Larger Rectangular Width of Ingot+Smaller Rectangular Width of Ingot)))/((Smaller Rectangular Length of Ingot*Smaller Rectangular Width of Ingot*Height of Ingot)+(Smaller Rectangular Length of Ingot*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/2)+(Smaller Rectangular Width of Ingot*(Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*Height of Ingot/2)+((Larger Rectangular Length of Ingot-Smaller Rectangular Length of Ingot)*(Larger Rectangular Width of Ingot-Smaller Rectangular Width of Ingot)*Height of Ingot/3)). To calculate Surface to Volume Ratio of Ingot, you need Larger Rectangular Length of Ingot (l_{Large Rectangle}), Larger Rectangular Width of Ingot (w_{Large Rectangle}), Smaller Rectangular Length of Ingot (l_{Small Rectangle}), Smaller Rectangular Width of Ingot (w_{Small Rectangle}), Slant Height at Rectangular Lengths of Ingot (h_{Slant(Length)}), Slant Height at Rectangular Widths of Ingot (h_Slant(Width)) & Height of Ingot (h). With our tool, you need to enter the respective value for Larger Rectangular Length of Ingot, Larger Rectangular Width of Ingot, Smaller Rectangular Length of Ingot, Smaller Rectangular Width of Ingot, Slant Height at Rectangular Lengths of Ingot, Slant Height at Rectangular Widths of Ingot & Height of Ingot and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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