Lateral Surface Area of Cube given Midsphere Radius Calculator

✖Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.ⓘ Midsphere Radius of Cube [r_m]

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✖Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.ⓘ Lateral Surface Area of Cube given Midsphere Radius [LSA]

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Formula

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Lateral Surface Area of Cube given Midsphere Radius

Formula

`"LSA" = 8*"r"_{"m"}^2`

Example

`"392m²"=8*("7m")^2`

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Lateral Surface Area of Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cube = 8*Midsphere Radius of Cube^2
LSA = 8*r_m^2
This formula uses 2 Variables

Variables Used

Lateral Surface Area of Cube - (Measured in Square Meter) - Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
Midsphere Radius of Cube - (Measured in Meter) - Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 8*r_m^2 --> 8*7^2

Evaluating ... ...

LSA = 392

STEP 3: Convert Result to Output's Unit

392 Square Meter --> No Conversion Required

FINAL ANSWER

392 Square Meter <-- Lateral 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 Lateral Surface Area of Cube Calculators

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

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

Lateral Surface Area of Cube given Circumscribed Cylinder Radius

Go Lateral Surface Area of Cube = 8*Circumscribed Cylinder Radius of Cube^2

Lateral Surface Area of Cube given Surface to Volume Ratio

Go Lateral Surface Area of Cube = 4*(6/Surface to Volume Ratio of Cube)^(2)

Lateral Surface Area of Cube given Inscribed Cylinder Radius

Go Lateral Surface Area of Cube = 16*Inscribed Cylinder Radius of Cube^2

Lateral Surface Area of Cube given Circumsphere Radius

Go Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2

Lateral Surface Area of Cube given Total Surface Area

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

Lateral Surface Area of Cube given Midsphere Radius

Go Lateral Surface Area of Cube = 8*Midsphere Radius of Cube^2

Lateral Surface Area of Cube given Insphere Radius

Go Lateral Surface Area of Cube = 16*Insphere Radius of Cube^2

Lateral Surface Area of Cube given Space Diagonal

Go Lateral Surface Area of Cube = 4/3*Space Diagonal of Cube^2

Lateral Surface Area of Cube given Face Perimeter

Go Lateral Surface Area of Cube = Face Perimeter of Cube^(2)/4

Lateral Surface Area of Cube given Perimeter

Go Lateral Surface Area of Cube = 4*(Perimeter of Cube/12)^(2)

Lateral Surface Area of Cube given Face Diagonal

Go Lateral Surface Area of Cube = 2*Face Diagonal of Cube^2

Lateral Surface Area of Cube

Go Lateral Surface Area of Cube = 4*Edge Length of Cube^2

Lateral Surface Area of Cube given Volume

Go Lateral Surface Area of Cube = 4*Volume of Cube^(2/3)

Lateral Surface Area of Cube given Face Area

Go Lateral Surface Area of Cube = 4*Face Area of Cube

Lateral Surface Area of Cube given Midsphere Radius Formula

Lateral Surface Area of Cube = 8*Midsphere Radius of Cube^2
LSA = 8*r_m^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 Lateral Surface Area of Cube given Midsphere Radius?

Lateral Surface Area of Cube given Midsphere Radius calculator uses Lateral Surface Area of Cube = 8*Midsphere Radius of Cube^2 to calculate the Lateral Surface Area of Cube, The Lateral Surface Area of Cube given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube, and calculated using the midsphere radius of the Cube. Lateral Surface Area of Cube is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cube given Midsphere Radius using this online calculator? To use this online calculator for Lateral Surface Area of Cube given Midsphere Radius, enter Midsphere Radius of Cube (r_m) and hit the calculate button. Here is how the Lateral Surface Area of Cube given Midsphere Radius calculation can be explained with given input values -> 392 = 8*7^2.

FAQ

What is Lateral Surface Area of Cube given Midsphere Radius?

The Lateral Surface Area of Cube given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube, and calculated using the midsphere radius of the Cube and is represented as LSA = 8*r_m^2 or Lateral Surface Area of Cube = 8*Midsphere Radius of Cube^2. Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

How to calculate Lateral Surface Area of Cube given Midsphere Radius?

The Lateral Surface Area of Cube given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube, and calculated using the midsphere radius of the Cube is calculated using Lateral Surface Area of Cube = 8*Midsphere Radius of Cube^2. To calculate Lateral Surface Area of Cube given Midsphere Radius, you need Midsphere Radius of Cube (r_m). With our tool, you need to enter the respective value for Midsphere 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 Lateral Surface Area of Cube?

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

Lateral Surface Area of Cube = 4*Volume of Cube^(2/3)
Lateral Surface Area of Cube = 4/3*Space Diagonal of Cube^2
Lateral Surface Area of Cube = 2*Face Diagonal of Cube^2
Lateral Surface Area of Cube = 4*Edge Length of Cube^2
Lateral Surface Area of Cube = 2/3*Total Surface Area of Cube
Lateral Surface Area of Cube = 4*Face Area of Cube
Lateral Surface Area of Cube = Face Perimeter of Cube^(2)/4
Lateral Surface Area of Cube = 16*Inscribed Cylinder Radius of Cube^2
Lateral Surface Area of Cube = 16*Insphere Radius of Cube^2
Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2
Lateral Surface Area of Cube = 8*Circumscribed Cylinder Radius of Cube^2
Lateral Surface Area of Cube = 4*(6/Surface to Volume Ratio of Cube)^(2)
Lateral Surface Area of Cube = Total Surface Area of Cube-2*Edge Length of Cube^2
Lateral Surface Area of Cube = 4*(Perimeter of Cube/12)^(2)

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