Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area 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))
TSA = 4*((h*bOuter)+(h*(lInner+2*t))+(bOuter*t)+((lInner+2*t)*t)-(2*t*h)-(2*t^2))
This formula uses 5 Variables
Variables Used
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.
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
TSA = 4*((h*bOuter)+(h*(lInner+2*t))+(bOuter*t)+((lInner+2*t)*t)-(2*t*h)-(2*t^2)) --> 4*((20*10)+(20*(9+2*3))+(10*3)+((9+2*3)*3)-(2*3*20)-(2*3^2))
Evaluating ... ...
TSA = 1748
STEP 3: Convert Result to Output's Unit
1748 Square Meter --> No Conversion Required
FINAL ANSWER
1748 Square Meter <-- Total Surface Area of Hollow Cuboid
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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Surface Area of Hollow Cuboid Calculators

Total Surface Area of Hollow Cuboid given Inner and Outer Breadth
​ LaTeX ​ Go Total Surface Area 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))
Total Surface Area of Hollow Cuboid given Inner and Outer Length
​ LaTeX ​ Go Total Surface Area 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))
Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length
​ LaTeX ​ Go Total Surface Area 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))
Total Surface Area of Hollow Cuboid
​ LaTeX ​ Go Total Surface Area 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*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))

Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length Formula

​LaTeX ​Go
Total Surface Area 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))
TSA = 4*((h*bOuter)+(h*(lInner+2*t))+(bOuter*t)+((lInner+2*t)*t)-(2*t*h)-(2*t^2))

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 Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length?

Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length calculator uses Total Surface Area 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)) to calculate the Total Surface Area of Hollow Cuboid, Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Hollow Cuboid, calculated using the outer breadth and inner length of the Hollow Cuboid. Total Surface Area of Hollow Cuboid is denoted by TSA symbol.

How to calculate Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length using this online calculator? To use this online calculator for Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length, enter Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (bOuter), Inner Length of Hollow Cuboid (lInner) & Thickness of Hollow Cuboid (t) and hit the calculate button. Here is how the Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length calculation can be explained with given input values -> 1748 = 4*((20*10)+(20*(9+2*3))+(10*3)+((9+2*3)*3)-(2*3*20)-(2*3^2)).

FAQ

What is Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length?
Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Hollow Cuboid, calculated using the outer breadth and inner length of the Hollow Cuboid and is represented as TSA = 4*((h*bOuter)+(h*(lInner+2*t))+(bOuter*t)+((lInner+2*t)*t)-(2*t*h)-(2*t^2)) or Total Surface Area 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)). 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 Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length?
Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Hollow Cuboid, calculated using the outer breadth and inner length of the Hollow Cuboid is calculated using Total Surface Area 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)). To calculate Total Surface Area of Hollow Cuboid given Outer Breadth and Inner Length, you need Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (bOuter), Inner Length of Hollow Cuboid (lInner) & 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 Total Surface Area of Hollow Cuboid?
In this formula, Total Surface Area 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 -
  • Total Surface Area 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*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))
  • Total Surface Area 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))
  • Total Surface Area 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))
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