Question:

The volume of a cube in $ m^3 $ is equal to the surface area of the cube in $m^2$. The volume of the cube is

Updated On: Jun 18, 2022
  • 64 $ m^3 $
  • 216 $ m^3 $
  • 512 $ m^3 $
  • 195 $ m^3 $
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The Correct Option is B

Solution and Explanation

Let length of side of the cube be a then volume of cube = $a^3$
Also, surface area of cube = 6 $a^2$
Given, volume of cube = surface area of cube
or $ a^3 = 6a^2 $
$\Rightarrow a = 6 $ m
Thus, volume of the cube = $( 6 )^3 = 216 \,m^3$
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The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are:

  • Gravitational Force is a universal force that exists as an outcome of mutual attraction between any two objects with respect to their masses.
  • Electromagnetic Force can be understood as the force that is present between the charged particles. The force is stated by Coulomb’s law.
  • Strong Nuclear Force is the force that ties the protons and neutrons in a nucleus. Of all the elemental forces in nature, a strong nuclear force is the strongest as its name suggests.
  • Weak Nuclear Force can only be noticed in some of the nuclear processes such as the beta decay of the nucleus.