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

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GoHeight of Hollow Cuboid Formula

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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. Check FAQs

h = \frac{TSA}{2 \cdot R A/V \cdot t \cdot (l Outer + b Outer - (2 \cdot t))}

h - Height of Hollow Cuboid?TSA - Total Surface Area of Hollow Cuboid?R_A/V - Surface to Volume Ratio of Hollow Cuboid?t - Thickness of Hollow Cuboid?l_Outer - Outer Length of Hollow Cuboid?b_Outer - Outer Breadth of Hollow Cuboid?

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

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Here is how the Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio equation looks like with Units.

Here is how the Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio equation looks like.

19.1886 = \frac{1750}{2 \cdot 0.8 \cdot 3 \cdot (15 + 10 - (2 \cdot 3))}

19.1886m = \frac{1750m²}{2 \cdot 0.8m⁻¹ \cdot 3m \cdot (15m + 10m - (2 \cdot 3m))}

19.1886 = \frac{1750}{2 \cdot 0.8 \cdot 3 \cdot (15 + 10 - (2 \cdot 3))}

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

Follow our step by step solution on how to calculate Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio?

FIRST Step Consider the formula

h = \frac{TSA}{2 \cdot R A/V \cdot t \cdot (l Outer + b Outer - (2 \cdot t))}

Next Step Substitute values of Variables

∴

h = \frac{1750m²}{2 \cdot 0.8m⁻¹ \cdot 3m \cdot (15m + 10m - (2 \cdot 3m))}

Next Step Prepare to Evaluate

∴

h = \frac{1750}{2 \cdot 0.8 \cdot 3 \cdot (15 + 10 - (2 \cdot 3))}

Next Step Evaluate

∴

h = 19.1885964912281m

LAST Step Rounding Answer

∴

h = 19.1886m

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

Variables

Height 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.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Total Surface Area 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.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Surface to Volume Ratio of 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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Thickness of 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.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Outer Length of 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.

Symbol: l_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Outer Breadth of 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.

Symbol: b_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Creator Image

Created by Nikhil Panchal

Mumbai University (DJSCE), Mumbai

Nikhil Panchal has created this Formula and 400+ more formulas!

Verifier Image

Verified by Dhruv Walia

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

Dhruv Walia has verified this Formula and 400+ more formulas!

Other Formulas to find Height of Hollow Cuboid

Go Height of Hollow Cuboid

h = \frac{V}{2 \cdot t \cdot (l Outer + b Outer - (2 \cdot t))}

Other formulas in Height and Thickness of Hollow Cuboid category

Go Thickness of Hollow Cuboid given Inner and Outer Breadth

t = \frac{b Outer - b Inner}{2}

Go Thickness of Hollow Cuboid given Inner and Outer Length

t = \frac{l Outer - l Inner}{2}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

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

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

The formula of Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio is expressed as 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))). Here is an example- 19.1886 = 1750/(2*0.8*3*(15+10-(2*3))).

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

With 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) we can find Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio using the formula - 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))).

What are the other ways to Calculate Height of Hollow Cuboid?

Here are the different ways to Calculate Height of Hollow Cuboid-

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)))

Can the Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio be negative?

No, the Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Hollow Cuboid given Total Surface Area and Surface to Volume Ratio can be measured.

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