Question:
Tick (✓) the correct answer:
The volume of a cube is 343 cm3. Its total surface area is
(a) 196 cm2
(b) 49 cm2
(c) 294 cm2
(d) 147 cm2
Solution:
(c) $294 \mathrm{~cm}^{2}$
Volume $=a^{3}=343 \mathrm{~cm}^{3}$
$\Rightarrow a=\sqrt[3]{343}=7 \mathrm{~cm}$
$\therefore$ Total surface area $=6 a^{2}=6 \times 7 \times 7=294 \mathrm{~cm}^{2}$