Total Surface Area of Cube given Insphere Radius Calculator

✖Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Cube [r_i]

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✖Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.ⓘ Total Surface Area of Cube given Insphere Radius [TSA]

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Formula

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Total Surface Area of Cube given Insphere Radius

Formula

`"TSA" = 24*"r"_{"i"}^2`

Example

`"600m²"=24*("5m")^2`

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Total Surface Area of Cube given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Cube = 24*Insphere Radius of Cube^2
TSA = 24*r_i^2
This formula uses 2 Variables

Variables Used

Total Surface Area of Cube - (Measured in Square Meter) - Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.
Insphere Radius of Cube - (Measured in Meter) - Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Cube: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 24*r_i^2 --> 24*5^2

Evaluating ... ...

TSA = 600

STEP 3: Convert Result to Output's Unit

600 Square Meter --> No Conversion Required

FINAL ANSWER

600 Square Meter <-- Total Surface Area of Cube

(Calculation completed in 00.004 seconds)

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Credits

Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 15 Total Surface Area of Cube Calculators

Total Surface Area of Cube given Lateral Surface Area and Edge Length

Go Total Surface Area of Cube = Lateral Surface Area of Cube+2*Edge Length of Cube^2

Total Surface Area of Cube given Circumscribed Cylinder Radius

Go Total Surface Area of Cube = 12*Circumscribed Cylinder Radius of Cube^(2)

Total Surface Area of Cube given Surface to Volume Ratio

Go Total Surface Area of Cube = 6*(6/Surface to Volume Ratio of Cube)^(2)

Total Surface Area of Cube given Inscribed Cylinder Radius

Go Total Surface Area of Cube = 24*Inscribed Cylinder Radius of Cube^2

Total Surface Area of Cube given Lateral Surface Area

Go Total Surface Area of Cube = 3/2*Lateral Surface Area of Cube

Total Surface Area of Cube given Circumsphere Radius

Go Total Surface Area of Cube = 8*Circumsphere Radius of Cube^2

Total Surface Area of Cube given Midsphere Radius

Go Total Surface Area of Cube = 12*Midsphere Radius of Cube^2

Total Surface Area of Cube given Insphere Radius

Go Total Surface Area of Cube = 24*Insphere Radius of Cube^2

Total Surface Area of Cube given Face Perimeter

Go Total Surface Area of Cube = 3/8*Face Perimeter of Cube^2

Total Surface Area of Cube given Space Diagonal

Go Total Surface Area of Cube = 2*Space Diagonal of Cube^2

Total Surface Area of Cube given Perimeter

Go Total Surface Area of Cube = 6*(Perimeter of Cube/12)^2

Total Surface Area of Cube given Face Diagonal

Go Total Surface Area of Cube = 3*Face Diagonal of Cube^2

Total Surface Area of Cube

Go Total Surface Area of Cube = 6*Edge Length of Cube^2

Total Surface Area of Cube given Volume

Go Total Surface Area of Cube = 6*Volume of Cube^(2/3)

Total Surface Area of Cube given Face Area

Go Total Surface Area of Cube = 6*Face Area of Cube

Total Surface Area of Cube given Insphere Radius Formula

Total Surface Area of Cube = 24*Insphere Radius of Cube^2
TSA = 24*r_i^2

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Total Surface Area of Cube given Insphere Radius?

Total Surface Area of Cube given Insphere Radius calculator uses Total Surface Area of Cube = 24*Insphere Radius of Cube^2 to calculate the Total Surface Area of Cube, The Total Surface Area of Cube given Insphere Radius formula is defined as the quantity of plane enclosed by the entire surface of the Cube, and calculated using the insphere radius of the Cube. Total Surface Area of Cube is denoted by TSA symbol.

How to calculate Total Surface Area of Cube given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button. Here is how the Total Surface Area of Cube given Insphere Radius calculation can be explained with given input values -> 600 = 24*5^2.

FAQ

What is Total Surface Area of Cube given Insphere Radius?

The Total Surface Area of Cube given Insphere Radius formula is defined as the quantity of plane enclosed by the entire surface of the Cube, and calculated using the insphere radius of the Cube and is represented as TSA = 24*r_i^2 or Total Surface Area of Cube = 24*Insphere Radius of Cube^2. Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.

How to calculate Total Surface Area of Cube given Insphere Radius?

The Total Surface Area of Cube given Insphere Radius formula is defined as the quantity of plane enclosed by the entire surface of the Cube, and calculated using the insphere radius of the Cube is calculated using Total Surface Area of Cube = 24*Insphere Radius of Cube^2. To calculate Total Surface Area of Cube given Insphere Radius, you need Insphere Radius of Cube (r_i). With our tool, you need to enter the respective value for Insphere Radius of Cube 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 Cube?

In this formula, Total Surface Area of Cube uses Insphere Radius of Cube. We can use 14 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Cube = 6*Volume of Cube^(2/3)
Total Surface Area of Cube = 2*Space Diagonal of Cube^2
Total Surface Area of Cube = 6*Face Area of Cube
Total Surface Area of Cube = 3/2*Lateral Surface Area of Cube
Total Surface Area of Cube = 6*Edge Length of Cube^2
Total Surface Area of Cube = 3*Face Diagonal of Cube^2
Total Surface Area of Cube = 3/8*Face Perimeter of Cube^2
Total Surface Area of Cube = 24*Inscribed Cylinder Radius of Cube^2
Total Surface Area of Cube = 8*Circumsphere Radius of Cube^2
Total Surface Area of Cube = 12*Circumscribed Cylinder Radius of Cube^(2)
Total Surface Area of Cube = 12*Midsphere Radius of Cube^2
Total Surface Area of Cube = 6*(6/Surface to Volume Ratio of Cube)^(2)
Total Surface Area of Cube = Lateral Surface Area of Cube+2*Edge Length of Cube^2
Total Surface Area of Cube = 6*(Perimeter of Cube/12)^2

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