Surface to Volume Ratio of Obtuse Edged Cuboid Calculator

✖Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Length of Obtuse Edged Cuboid [l_Inner]			+10% -10%
✖Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Width of Obtuse Edged Cuboid [w_Inner]			+10% -10%
✖Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Height of Obtuse Edged Cuboid [h_Inner]			+10% -10%
✖Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.ⓘ Cut Width of Obtuse Edged Cuboid [w_Cut]			+10% -10%

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

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Surface to Volume Ratio of Obtuse Edged Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3)))
R_A/V = (2*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner)+((2*w_Cut)*(l_Inner+w_Inner+h_Inner))+(3*w_Cut^2)))/((l_Inner*w_Inner*h_Inner)+(sqrt(2)*w_Cut*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner)))+((w_Cut^2)*(l_Inner+w_Inner+h_Inner))+((4/(3*sqrt(2)))*(w_Cut^3)))
This formula uses 1 Functions, 5 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

Surface to Volume Ratio of Obtuse Edged Cuboid - (Measured in 1 per Meter) - Surface to Volume Ratio of Obtuse Edged Cuboid is the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged Cuboid.
Inner Length of Obtuse Edged Cuboid - (Measured in Meter) - Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Inner Width of Obtuse Edged Cuboid - (Measured in Meter) - Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Inner Height of Obtuse Edged Cuboid - (Measured in Meter) - Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Cut Width of Obtuse Edged Cuboid - (Measured in Meter) - Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.

STEP 1: Convert Input(s) to Base Unit

Inner Length of Obtuse Edged Cuboid: 8 Meter --> 8 Meter No Conversion Required
Inner Width of Obtuse Edged Cuboid: 6 Meter --> 6 Meter No Conversion Required
Inner Height of Obtuse Edged Cuboid: 11 Meter --> 11 Meter No Conversion Required
Cut Width of Obtuse Edged Cuboid: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (2*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner)+((2*w_Cut)*(l_Inner+w_Inner+h_Inner))+(3*w_Cut^2)))/((l_Inner*w_Inner*h_Inner)+(sqrt(2)*w_Cut*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner)))+((w_Cut^2)*(l_Inner+w_Inner+h_Inner))+((4/(3*sqrt(2)))*(w_Cut^3))) --> (2*((8*6)+(6*11)+(11*8)+((2*3)*(8+6+11))+(3*3^2)))/((8*6*11)+(sqrt(2)*3*((8*6)+(6*11)+(11*8)))+((3^2)*(8+6+11))+((4/(3*sqrt(2)))*(3^3)))

Evaluating ... ...

R_A/V = 0.463475540131079

STEP 3: Convert Result to Output's Unit

0.463475540131079 1 per Meter --> No Conversion Required

FINAL ANSWER

0.463475540131079 ≈ 0.463476 1 per Meter <-- Surface to Volume Ratio of Obtuse Edged Cuboid

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Obtuse Edged Cuboid Calculators

Surface to Volume Ratio of Obtuse Edged Cuboid given Cuboidal Edges

LaTeX Go Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+2*Cut Width of Obtuse Edged Cuboid*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+3*Cut Width of Obtuse Edged Cuboid^2))/((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+Cut Width of Obtuse Edged Cuboid^2*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3)))

Surface to Volume Ratio of Obtuse Edged Cuboid

LaTeX Go Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3)))

Surface to Volume Ratio of Obtuse Edged Cuboid Formula

LaTeX Go

What is Obtuse Edged Cuboid?

Obtuse Edged Cuboid is a cuboid with obtuse edges, a cuboid with regularly cut off edges. As surfaces, from the former rectangles smaller rectangles emerge and from the former edges rectangles with isosceles, right triangle attached at the ends emerge. The total volume is the volume of the inner cuboid plus the elevation of the inner cuboid faces to the former cuboid plus the inclined filled gaps at the former edge to the lengths of the smaller rectangles plus twice the eight corners (corner to the inside and the outside each).

How to Calculate Surface to Volume Ratio of Obtuse Edged Cuboid?

Surface to Volume Ratio of Obtuse Edged Cuboid calculator uses Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))) to calculate the Surface to Volume Ratio of Obtuse Edged Cuboid, Surface to Volume Ratio of Obtuse Edged Cuboid formula is defined as the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged Cuboid. Surface to Volume Ratio of Obtuse Edged Cuboid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Obtuse Edged Cuboid using this online calculator? To use this online calculator for Surface to Volume Ratio of Obtuse Edged Cuboid, enter Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Inner Height of Obtuse Edged Cuboid (h_Inner) & Cut Width of Obtuse Edged Cuboid (w_Cut) and hit the calculate button. Here is how the Surface to Volume Ratio of Obtuse Edged Cuboid calculation can be explained with given input values -> 0.463476 = (2*((8*6)+(6*11)+(11*8)+((2*3)*(8+6+11))+(3*3^2)))/((8*6*11)+(sqrt(2)*3*((8*6)+(6*11)+(11*8)))+((3^2)*(8+6+11))+((4/(3*sqrt(2)))*(3^3))).

FAQ

What is Surface to Volume Ratio of Obtuse Edged Cuboid?

Surface to Volume Ratio of Obtuse Edged Cuboid formula is defined as the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged Cuboid and is represented as R_A/V = (2*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner)+((2*w_Cut)*(l_Inner+w_Inner+h_Inner))+(3*w_Cut^2)))/((l_Inner*w_Inner*h_Inner)+(sqrt(2)*w_Cut*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner)))+((w_Cut^2)*(l_Inner+w_Inner+h_Inner))+((4/(3*sqrt(2)))*(w_Cut^3))) or Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))). Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid & Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.

How to calculate Surface to Volume Ratio of Obtuse Edged Cuboid?

Surface to Volume Ratio of Obtuse Edged Cuboid formula is defined as the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged Cuboid is calculated using Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))). To calculate Surface to Volume Ratio of Obtuse Edged Cuboid, you need Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Inner Height of Obtuse Edged Cuboid (h_Inner) & Cut Width of Obtuse Edged Cuboid (w_Cut). With our tool, you need to enter the respective value for Inner Length of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid & Cut Width of Obtuse Edged Cuboid 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 Surface to Volume Ratio of Obtuse Edged Cuboid?

In this formula, Surface to Volume Ratio of Obtuse Edged Cuboid uses Inner Length of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid & Cut Width of Obtuse Edged Cuboid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+2*Cut Width of Obtuse Edged Cuboid*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+3*Cut Width of Obtuse Edged Cuboid^2))/((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+Cut Width of Obtuse Edged Cuboid^2*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3)))

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