Volume of Cube given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2)
V = (LSA/4)^(3/2)
This formula uses 2 Variables
Variables Used
Volume of Cube - (Measured in Cubic Meter) - Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
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.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cube: 400 Square Meter --> 400 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (LSA/4)^(3/2) --> (400/4)^(3/2)
Evaluating ... ...
V = 1000
STEP 3: Convert Result to Output's Unit
1000 Cubic Meter --> No Conversion Required
FINAL ANSWER
1000 Cubic Meter <-- Volume of Cube
(Calculation completed in 00.004 seconds)

Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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14 Volume of Cube Calculators

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

Volume of Cube given Lateral Surface Area Formula

Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2)
V = (LSA/4)^(3/2)

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 Volume of Cube given Lateral Surface Area?

Volume of Cube given Lateral Surface Area calculator uses Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2) to calculate the Volume of Cube, The Volume of Cube given Lateral Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the lateral surface area of the Cube. Volume of Cube is denoted by V symbol.

How to calculate Volume of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Volume of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Volume of Cube given Lateral Surface Area calculation can be explained with given input values -> 1000 = (400/4)^(3/2).

FAQ

What is Volume of Cube given Lateral Surface Area?
The Volume of Cube given Lateral Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the lateral surface area of the Cube and is represented as V = (LSA/4)^(3/2) or Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2). 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.
How to calculate Volume of Cube given Lateral Surface Area?
The Volume of Cube given Lateral Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the lateral surface area of the Cube is calculated using Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2). To calculate Volume of Cube given Lateral Surface Area, you need Lateral Surface Area of Cube (LSA). With our tool, you need to enter the respective value for Lateral Surface Area 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 Volume of Cube?
In this formula, Volume of Cube uses Lateral Surface Area of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -
  • Volume of Cube = (Total Surface Area of Cube/6)^(3/2)
  • Volume of Cube = Edge Length of Cube^3
  • Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3
  • Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)
  • Volume of Cube = Face Area of Cube^(3/2)
  • Volume of Cube = (Face Perimeter of Cube/4)^(3)
  • Volume of Cube = (2*Insphere Radius of Cube)^(3)
  • Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
  • Volume of Cube = (sqrt(2)*Circumscribed Cylinder Radius of Cube)^(3)
  • Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3)
  • Volume of Cube = (6/Surface to Volume Ratio of Cube)^(3)
  • Volume of Cube = (2*Inscribed Cylinder Radius of Cube)^(3)
  • Volume of Cube = (Perimeter of Cube/12)^(3)
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