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1. units,dimensions and measurement — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
A cube has numerically equal volume and surface area. The volume of such a cube is  ........... $units$
  • ✓
    $216 $
  • B
    $1000$
  • C
    $2000$
  • D
    $3000$
✓

Answer

Correct option: A.
$216 $
a
(a) Volume of cube = ${a^3}$

Surface area of cube = $6{a^2}$

according to problem $a^3 = 6a^2 $ $⇒$ $ a = 6$

$V = {a^3} = 216\,units$.

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