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Surface Areas and Volumes — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsSurface Areas and Volumes1 Mark
MCQ
The volume of a cube whose diagonal is $8\sqrt{3}\text{cm}$ is:
  • ✓
    $512\  cm^3$
  • B
    $64\ cm^3$
  • C
    $128\ cm^3$
  • D
    $256\ cm^3$
✓

Answer

Correct option: A.
$512\  cm^3$

 Diagonal of cube $=\sqrt{3}\times\text{(edge or side)}$
$8\sqrt{3}=\sqrt{3}\times\text{edge}$
edge $= 8\ cm$
Volume of cube $=$ edge$^3$
$=8 \times 8 \times 8$
$=512\ cm^3$

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