Volume of Hollow Cuboid given Total Surface Area 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%
✖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%
✖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%
✖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%

✖Volume of Hollow Cuboid is defined as the amount of three dimensional space occupied by Hollow Cuboid.ⓘ Volume of Hollow Cuboid given Total Surface Area [V]

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Formula

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Volume of Hollow Cuboid given Total Surface Area

Formula

`"V" = (("h"*"b"_{"Outer"})+("h"*"l"_{"Outer"})+("b"_{"Outer"}*"t")+("l"_{"Outer"}*"t")-(2*"t"^2)-"TSA"/4)*("l"_{"Outer"}+"b"_{"Outer"}-(2*"t"))`

Example

`"2270.5m³"=(("20m"*"10m")+("20m"*"15m")+("10m"*"3m")+("15m"*"3m")-(2*("3m")^2)-"1750m²"/4)*("15m"+"10m"-(2*"3m"))`

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Volume of Hollow Cuboid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hollow Cuboid = ((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^2)-Total Surface Area of Hollow Cuboid/4)*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid))
V = ((h*b_Outer)+(h*l_Outer)+(b_Outer*t)+(l_Outer*t)-(2*t^2)-TSA/4)*(l_Outer+b_Outer-(2*t))
This formula uses 6 Variables

Variables Used

Volume of Hollow Cuboid - (Measured in Cubic Meter) - Volume of Hollow Cuboid is defined as the amount of three dimensional space occupied by 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.
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.
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.
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.

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
Outer Length of Hollow Cuboid: 15 Meter --> 15 Meter No Conversion Required
Thickness of Hollow Cuboid: 3 Meter --> 3 Meter No Conversion Required
Total Surface Area of Hollow Cuboid: 1750 Square Meter --> 1750 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((h*b_Outer)+(h*l_Outer)+(b_Outer*t)+(l_Outer*t)-(2*t^2)-TSA/4)*(l_Outer+b_Outer-(2*t)) --> ((20*10)+(20*15)+(10*3)+(15*3)-(2*3^2)-1750/4)*(15+10-(2*3))

Evaluating ... ...

V = 2270.5

STEP 3: Convert Result to Output's Unit

2270.5 Cubic Meter --> No Conversion Required

FINAL ANSWER

2270.5 Cubic Meter <-- Volume of Hollow Cuboid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Hollow Cuboid » Volume of Hollow Cuboid » Volume of Hollow Cuboid given Total Surface Area

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< 6 Volume of Hollow Cuboid Calculators

Volume of Hollow Cuboid given Total Surface Area

Go Volume of Hollow Cuboid = ((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^2)-Total Surface Area of Hollow Cuboid/4)*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid))

Volume of Hollow Cuboid given Inner and Outer Breadth

Go Volume of Hollow Cuboid = Height of Hollow Cuboid*(Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)*(Outer Length of Hollow Cuboid+Inner Breadth of Hollow Cuboid)

Volume of Hollow Cuboid given Inner and Outer Length

Go Volume of Hollow Cuboid = Height of Hollow Cuboid*(Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)

Volume of Hollow Cuboid

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

Volume of Hollow Cuboid given Outer Breadth and Inner Length

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

Volume of Hollow Cuboid given Outer Length and Inner Breadth

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

< 4 Volume of Hollow Cuboid Calculators

Volume of Hollow Cuboid given Total Surface Area

Volume of Hollow Cuboid given Inner and Outer Breadth

Go Volume of Hollow Cuboid = Height of Hollow Cuboid*(Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)*(Outer Length of Hollow Cuboid+Inner Breadth of Hollow Cuboid)

Volume of Hollow Cuboid

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

Volume of Hollow Cuboid given Outer Length and Inner Breadth

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

Volume of Hollow Cuboid given Total Surface Area Formula

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 Volume of Hollow Cuboid given Total Surface Area?

Volume of Hollow Cuboid given Total Surface Area calculator uses Volume of Hollow Cuboid = ((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^2)-Total Surface Area of Hollow Cuboid/4)*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid)) to calculate the Volume of Hollow Cuboid, The Volume of Hollow Cuboid given Total Surface Area formula is defined as an amount of three dimensional space occupied by Hollow Cuboid, calculated using total surface area of the Hollow Cuboid. Volume of Hollow Cuboid is denoted by V symbol.

How to calculate Volume of Hollow Cuboid given Total Surface Area using this online calculator? To use this online calculator for Volume of Hollow Cuboid given Total Surface Area, enter Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (b_Outer), Outer Length of Hollow Cuboid (l_Outer), Thickness of Hollow Cuboid (t) & Total Surface Area of Hollow Cuboid (TSA) and hit the calculate button. Here is how the Volume of Hollow Cuboid given Total Surface Area calculation can be explained with given input values -> 2270.5 = ((20*10)+(20*15)+(10*3)+(15*3)-(2*3^2)-1750/4)*(15+10-(2*3)).

FAQ

What is Volume of Hollow Cuboid given Total Surface Area?

The Volume of Hollow Cuboid given Total Surface Area formula is defined as an amount of three dimensional space occupied by Hollow Cuboid, calculated using total surface area of the Hollow Cuboid and is represented as V = ((h*b_Outer)+(h*l_Outer)+(b_Outer*t)+(l_Outer*t)-(2*t^2)-TSA/4)*(l_Outer+b_Outer-(2*t)) or Volume of Hollow Cuboid = ((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^2)-Total Surface Area of Hollow Cuboid/4)*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness 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, 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, 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 & 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.

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

The Volume of Hollow Cuboid given Total Surface Area formula is defined as an amount of three dimensional space occupied by Hollow Cuboid, calculated using total surface area of the Hollow Cuboid is calculated using Volume of Hollow Cuboid = ((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^2)-Total Surface Area of Hollow Cuboid/4)*(Outer Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid-(2*Thickness of Hollow Cuboid)). To calculate Volume of Hollow Cuboid given Total Surface Area, you need Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (b_Outer), Outer Length of Hollow Cuboid (l_Outer), Thickness of Hollow Cuboid (t) & Total Surface Area of Hollow Cuboid (TSA). With our tool, you need to enter the respective value for Height of Hollow Cuboid, Outer Breadth of Hollow Cuboid, Outer Length of Hollow Cuboid, Thickness of Hollow Cuboid & Total Surface Area 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 Volume of Hollow Cuboid?

In this formula, Volume of Hollow Cuboid uses Height of Hollow Cuboid, Outer Breadth of Hollow Cuboid, Outer Length of Hollow Cuboid, Thickness of Hollow Cuboid & Total Surface Area of Hollow Cuboid. We can use 8 other way(s) to calculate the same, which is/are as follows -

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

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