Question

Mark (✓) against the correct answer:
The surface area of a cube is 384 cm². Its volume is
(a) 512 cm³
(b) 256 cm³
(c) 384 cm³
(d) 320 cm³

Answer 1

(a) 512 cm³
Surface area$=6a^2$
$\Rightarrow 6a^2=384$
$\Rightarrow a=\sqrt{\frac{384}{6}}=\sqrt{64}=8\mathrm{cm}$
∴ Volume$=a^3=8^3=512{\mathrm{cm}}^3$