Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Calculator

✖Height of Hollow Cuboid is the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid.ⓘ Height of Hollow Cuboid [h]			+10% -10%
✖Outer Breadth of Hollow Cuboid is the breadth of the outer cuboidal surface or the shorter edge length of the base rectangular face of the outer surface of the Hollow Cuboid.ⓘ Outer Breadth of Hollow Cuboid [b_Outer]			+10% -10%
✖Inner Length of Hollow Cuboid is the length of the inner cuboidal surface or the longer edge length of the base rectangular face of the inner surface of the Hollow Cuboid.ⓘ Inner Length of Hollow Cuboid [l_Inner]			+10% -10%
✖Thickness of Hollow Cuboid is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer cuboidal surfaces of the Hollow Cuboid.ⓘ Thickness of Hollow Cuboid [t]			+10% -10%

✖Surface to Volume Ratio of Hollow Cuboid is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid.ⓘ Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length [R_A/V]

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Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid))
R_A/V = (4*((h*b_Outer)+(h*(l_Inner+2*t))+(b_Outer*t)+((l_Inner+2*t)*t)-(2*t*h)-(2*t^2)))/(2*h*t*(l_Inner+b_Outer))
This formula uses 5 Variables

Variables Used

Surface to Volume Ratio of Hollow Cuboid - (Measured in 1 per Meter) - Surface to Volume Ratio of Hollow Cuboid is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid.
Height of Hollow Cuboid - (Measured in Meter) - Height of Hollow Cuboid is the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid.
Outer Breadth of Hollow Cuboid - (Measured in Meter) - Outer Breadth of Hollow Cuboid is the breadth of the outer cuboidal surface or the shorter edge length of the base rectangular face of the outer surface of the Hollow Cuboid.
Inner Length of Hollow Cuboid - (Measured in Meter) - Inner Length of Hollow Cuboid is the length of the inner cuboidal surface or the longer edge length of the base rectangular face of the inner surface of the Hollow Cuboid.
Thickness of Hollow Cuboid - (Measured in Meter) - Thickness of Hollow Cuboid is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer cuboidal surfaces of the Hollow Cuboid.

STEP 1: Convert Input(s) to Base Unit

Height of Hollow Cuboid: 20 Meter --> 20 Meter No Conversion Required
Outer Breadth of Hollow Cuboid: 10 Meter --> 10 Meter No Conversion Required
Inner Length of Hollow Cuboid: 9 Meter --> 9 Meter No Conversion Required
Thickness of Hollow Cuboid: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (4*((h*b_Outer)+(h*(l_Inner+2*t))+(b_Outer*t)+((l_Inner+2*t)*t)-(2*t*h)-(2*t^2)))/(2*h*t*(l_Inner+b_Outer)) --> (4*((20*10)+(20*(9+2*3))+(10*3)+((9+2*3)*3)-(2*3*20)-(2*3^2)))/(2*20*3*(9+10))

Evaluating ... ...

R_A/V = 0.766666666666667

STEP 3: Convert Result to Output's Unit

0.766666666666667 1 per Meter --> No Conversion Required

FINAL ANSWER

0.766666666666667 ≈ 0.766667 1 per Meter <-- Surface to Volume Ratio of Hollow Cuboid

(Calculation completed in 00.008 seconds)

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Home » Math » Geometry » 3D Geometry » Hollow Cuboid » Surface to Volume Ratio of Hollow Cuboid » Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Surface to Volume Ratio of Hollow Cuboid Calculators

Surface to Volume Ratio of Hollow Cuboid given Inner and Outer Breadth

LaTeX Go Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+(Outer Breadth of Hollow Cuboid*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2))+(Outer Length of Hollow Cuboid*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2))-(2*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2)*Height of Hollow Cuboid)-(2*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2)^2)))/(Height of Hollow Cuboid*(Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)*(Outer Length of Hollow Cuboid+Inner Breadth of Hollow Cuboid))

Surface to Volume Ratio of Hollow Cuboid given Inner and Outer Length

LaTeX Go Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+(Outer Breadth of Hollow Cuboid*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2))+(Outer Length of Hollow Cuboid*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2))-(2*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2)*Height of Hollow Cuboid)-(2*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2)^2)))/(Height of Hollow Cuboid*(Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid))

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length

LaTeX Go Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid))

Surface to Volume Ratio of Hollow Cuboid given Outer Length and Inner Breadth

LaTeX Go Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*(Inner Breadth of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+((Inner Breadth of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)+(Outer Length of Hollow Cuboid*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Breadth of Hollow Cuboid+Outer Length of Hollow Cuboid))

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Formula

LaTeX Go

What is Hollow Cuboid?

In geometry, a cuboid is basically a rectangular box with three different types of edges length, breadth and height. If two cuboids of different size in which the edges are proportional, are placed in such a way that one inside another and the geometric center of both of them coincide each other, the resulting shape is called the Hollow Cuboid. The reason why it called as hollow is, from the volume of outer cuboid, the part of inner cuboid is removed and that much portion are kept as hollow. Only the portion in between the surfaces of inner and outer cuboids, contains the volume of the shape. If exactly any one of the edges become equal for both inner and outer cuboids, then the resulting shape will be a hollow rectangular prism.

How to Calculate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length calculator uses Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)) to calculate the Surface to Volume Ratio of Hollow Cuboid, Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid, calculated using the outer breadth and the inner length of the Hollow Cuboid. Surface to Volume Ratio of Hollow Cuboid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length using this online calculator? To use this online calculator for Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length, enter Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (b_Outer), Inner Length of Hollow Cuboid (l_Inner) & Thickness of Hollow Cuboid (t) and hit the calculate button. Here is how the Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length calculation can be explained with given input values -> 0.766667 = (4*((20*10)+(20*(9+2*3))+(10*3)+((9+2*3)*3)-(2*3*20)-(2*3^2)))/(2*20*3*(9+10)).

FAQ

What is Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid, calculated using the outer breadth and the inner length of the Hollow Cuboid and is represented as R_A/V = (4*((h*b_Outer)+(h*(l_Inner+2*t))+(b_Outer*t)+((l_Inner+2*t)*t)-(2*t*h)-(2*t^2)))/(2*h*t*(l_Inner+b_Outer)) or Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)). Height of Hollow Cuboid is the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid, Outer Breadth of Hollow Cuboid is the breadth of the outer cuboidal surface or the shorter edge length of the base rectangular face of the outer surface of the Hollow Cuboid, Inner Length of Hollow Cuboid is the length of the inner cuboidal surface or the longer edge length of the base rectangular face of the inner surface of the Hollow Cuboid & Thickness of Hollow Cuboid is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer cuboidal surfaces of the Hollow Cuboid.

How to calculate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid, calculated using the outer breadth and the inner length of the Hollow Cuboid is calculated using Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)). To calculate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length, you need Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (b_Outer), Inner Length of Hollow Cuboid (l_Inner) & Thickness of Hollow Cuboid (t). With our tool, you need to enter the respective value for Height of Hollow Cuboid, Outer Breadth of Hollow Cuboid, Inner Length of Hollow Cuboid & Thickness of Hollow 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 Hollow Cuboid?

In this formula, Surface to Volume Ratio of Hollow Cuboid uses Height of Hollow Cuboid, Outer Breadth of Hollow Cuboid, Inner Length of Hollow Cuboid & Thickness of Hollow Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+(Outer Breadth of Hollow Cuboid*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2))+(Outer Length of Hollow Cuboid*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2))-(2*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2)*Height of Hollow Cuboid)-(2*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2)^2)))/(Height of Hollow Cuboid*(Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid))
Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+(Outer Breadth of Hollow Cuboid*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2))+(Outer Length of Hollow Cuboid*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2))-(2*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2)*Height of Hollow Cuboid)-(2*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2)^2)))/(Height of Hollow Cuboid*(Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)*(Outer Length of Hollow Cuboid+Inner Breadth of Hollow Cuboid))
Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*(Inner Breadth of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+((Inner Breadth of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)+(Outer Length of Hollow Cuboid*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Breadth of Hollow Cuboid+Outer Length of Hollow Cuboid))

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