Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio Calculator

✖Total Surface Area of Hollow Cuboid is defined as the total quantity of two dimensional space enclosed on the entire surface of the Hollow Cuboid.ⓘ Total Surface Area of Hollow Cuboid [TSA]			+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 [R_A/V]			+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%
✖Outer Length of Hollow Cuboid is the length of the outer cuboidal surface or the longer edge length of the base rectangular face of the outer surface of the Hollow Cuboid.ⓘ Outer Length of Hollow Cuboid [l_Outer]			+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%

✖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 given Total Surface Area and Surface to Volume Ratio [h]

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Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hollow Cuboid = Total Surface Area of Hollow Cuboid/(2*Surface to Volume Ratio of Hollow Cuboid*Thickness of Hollow Cuboid*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid)))
h = TSA/(2*R_A/V*t*(l_Outer+b_Outer-(2*t)))
This formula uses 6 Variables

Variables Used

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.
Total Surface Area of Hollow Cuboid - (Measured in Square Meter) - Total Surface Area of Hollow Cuboid is defined as the total quantity of two dimensional space enclosed on the entire surface of the Hollow Cuboid.
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.
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.
Outer Length of Hollow Cuboid - (Measured in Meter) - Outer Length of Hollow Cuboid is the length of the outer cuboidal surface or the longer edge length of the base rectangular face of the outer surface 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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Hollow Cuboid: 1750 Square Meter --> 1750 Square Meter No Conversion Required
Surface to Volume Ratio of Hollow Cuboid: 0.8 1 per Meter --> 0.8 1 per Meter No Conversion Required
Thickness of Hollow Cuboid: 3 Meter --> 3 Meter No Conversion Required
Outer Length of Hollow Cuboid: 15 Meter --> 15 Meter No Conversion Required
Outer Breadth of Hollow Cuboid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = TSA/(2*R_A/V*t*(l_Outer+b_Outer-(2*t))) --> 1750/(2*0.8*3*(15+10-(2*3)))

Evaluating ... ...

h = 19.1885964912281

STEP 3: Convert Result to Output's Unit

19.1885964912281 Meter --> No Conversion Required

FINAL ANSWER

19.1885964912281 ≈ 19.1886 Meter <-- Height of Hollow Cuboid

(Calculation completed in 00.005 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Height and Thickness of Hollow Cuboid Calculators

Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio

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

Height of Hollow Cuboid

LaTeX Go Height of Hollow Cuboid = Volume of Hollow Cuboid/(2*Thickness of Hollow Cuboid*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid)))

Thickness of Hollow Cuboid given Inner and Outer Breadth

LaTeX Go Thickness of Hollow Cuboid = (Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2

Thickness of Hollow Cuboid given Inner and Outer Length

LaTeX Go Thickness of Hollow Cuboid = (Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2

Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio Formula

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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 Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio?

Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio calculator uses Height of Hollow Cuboid = Total Surface Area of Hollow Cuboid/(2*Surface to Volume Ratio of Hollow Cuboid*Thickness of Hollow Cuboid*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid))) to calculate the Height of Hollow Cuboid, Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio formula is defined as the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid, calculated using total surface area and surface to volume ratio of the Hollow Cuboid. Height of Hollow Cuboid is denoted by h symbol.

How to calculate Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio, enter Total Surface Area of Hollow Cuboid (TSA), Surface to Volume Ratio of Hollow Cuboid (R_A/V), Thickness of Hollow Cuboid (t), Outer Length of Hollow Cuboid (l_Outer) & Outer Breadth of Hollow Cuboid (b_Outer) and hit the calculate button. Here is how the Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio calculation can be explained with given input values -> 19.1886 = 1750/(2*0.8*3*(15+10-(2*3))).

FAQ

What is Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio?

Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio formula is defined as the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid, calculated using total surface area and surface to volume ratio of the Hollow Cuboid and is represented as h = TSA/(2*R_A/V*t*(l_Outer+b_Outer-(2*t))) or Height of Hollow Cuboid = Total Surface Area of Hollow Cuboid/(2*Surface to Volume Ratio of Hollow Cuboid*Thickness of Hollow Cuboid*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid))). Total Surface Area of Hollow Cuboid is defined as the total quantity of two dimensional space enclosed on the entire surface of the Hollow Cuboid, 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, 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, Outer Length of Hollow Cuboid is the length of the outer cuboidal surface or the longer edge length of the base rectangular face of the outer surface 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.

How to calculate Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio?

Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio formula is defined as the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid, calculated using total surface area and surface to volume ratio of the Hollow Cuboid is calculated using Height of Hollow Cuboid = Total Surface Area of Hollow Cuboid/(2*Surface to Volume Ratio of Hollow Cuboid*Thickness of Hollow Cuboid*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid))). To calculate Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio, you need Total Surface Area of Hollow Cuboid (TSA), Surface to Volume Ratio of Hollow Cuboid (R_A/V), Thickness of Hollow Cuboid (t), Outer Length of Hollow Cuboid (l_Outer) & Outer Breadth of Hollow Cuboid (b_Outer). With our tool, you need to enter the respective value for Total Surface Area of Hollow Cuboid, Surface to Volume Ratio of Hollow Cuboid, Thickness of Hollow Cuboid, Outer Length of Hollow Cuboid & Outer Breadth 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 Height of Hollow Cuboid?

In this formula, Height of Hollow Cuboid uses Total Surface Area of Hollow Cuboid, Surface to Volume Ratio of Hollow Cuboid, Thickness of Hollow Cuboid, Outer Length of Hollow Cuboid & Outer Breadth of Hollow Cuboid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of Hollow Cuboid = Volume of Hollow Cuboid/(2*Thickness of Hollow Cuboid*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid)))

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