If the volume and surface area of a cube are numerically equal,what is its volume in cubic units?

  • A
    $216$
  • B
    $36$
  • C
    $6$
  • D
    $1296$

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Similar Questions

Choose the correct match:
List-$I$ List-$II$
$(i)$ Curie $(A)$ $MLT^{-2}$
$(ii)$ Light year $(B)$ $M$
$(iii)$ Dielectric strength $(C)$ Dimensionless
$(iv)$ Atomic weight $(D)$ $T$
$(v)$ Decibel $(E)$ $ML^2T^{-2}$
$(F)$ $MT^{-3}$
$(G)$ $T^{-1}$
$(H)$ $L$
$(I)$ $MLT^{-3}I^{-1}$
$(J)$ $LT^{-1}$

Names of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$$(i)$. $[L^2 T^{-2} K^{-1}]$
$B$. $N \cdot m \cdot K^{-1}$$(ii)$. $[MLT^{-3} K^{-1}]$
$C$. $J \cdot kg^{-1} \cdot K^{-1}$$(iii)$. $[ML^{-1} T^{-1}]$
$D$. $W \cdot m^{-1} \cdot K^{-1}$$(iv)$. $[ML^2 T^{-2} K^{-1}]$

The density of a substance is $4 \, g/cc$ in a system in which the unit of length is $5 \, cm$ and the unit of mass is $20 \, g$. The density of the substance in the $CGS$ system is: (in $units$)

Identify the pair that has the same dimensions.

Some physical constants are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the following:
List-$I$List-$II$
$(1)$ Planck's constant$(i)$ $[ML^{-1} T^{-2}]$
$(2)$ Gravitational constant(ii) $[ML^{-1} T^{-1}]$
$(3)$ Bulk modulus(iii) $[ML^2 T^{-1}]$
$(4)$ Coefficient of viscosity(iv) $[M^{-1} L^3 T^{-2}]$

The correct answer is:

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