Lateral Surface Area of Cube given Circumsphere Radius Calculator

✖Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.ⓘ Circumsphere Radius of Cube [r_c]

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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 Circumsphere Radius [LSA]

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Formula

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Lateral Surface Area of Cube given Circumsphere Radius

Formula

LSA = \frac{16}{3} \cdot {r c}^{2}

Example

432 m² = \frac{16}{3} \cdot {9 m}^{2}

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Lateral Surface Area of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2
LSA = 16/3*r_c^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.
Circumsphere Radius of Cube - (Measured in Meter) - Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cube: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 16/3*r_c^2 --> 16/3*9^2

Evaluating ... ...

LSA = 432

STEP 3: Convert Result to Output's Unit

432 Square Meter --> No Conversion Required

FINAL ANSWER

432 Square Meter <-- Lateral Surface Area of Cube

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

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

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The National Institute of Engineering (NIE), Mysuru

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< Lateral Surface Area of Cube Calculators

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 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 Circumsphere Radius Formula

Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2
LSA = 16/3*r_c^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 Circumsphere Radius?

Lateral Surface Area of Cube given Circumsphere Radius calculator uses Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2 to calculate the Lateral Surface Area of Cube, The Lateral Surface Area of Cube given Circumsphere 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 circumsphere radius of the Cube. Lateral Surface Area of Cube is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Lateral Surface Area of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Lateral Surface Area of Cube given Circumsphere Radius calculation can be explained with given input values -> 432 = 16/3*9^2.

FAQ

What is Lateral Surface Area of Cube given Circumsphere Radius?

The Lateral Surface Area of Cube given Circumsphere 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 circumsphere radius of the Cube and is represented as LSA = 16/3*r_c^2 or Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2. Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

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

The Lateral Surface Area of Cube given Circumsphere 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 circumsphere radius of the Cube is calculated using Lateral Surface Area of Cube = 16/3*Circumsphere Radius of Cube^2. To calculate Lateral Surface Area of Cube given Circumsphere Radius, you need Circumsphere Radius of Cube (r_c). With our tool, you need to enter the respective value for Circumsphere 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 Circumsphere Radius of Cube. We can use 3 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

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