Question:
Tick (✓) the correct answer:
The total surface area of a cube is 150 cm2. Its volume is
(a) 216 cm3
(b) 125 cm3
(c) 64 cm3
(d) 1000 cm3
Solution:
(b) $125 \mathrm{~cm}^{3}$
Total surface area $=6 a^{2}=150 \mathrm{~cm}^{2}$, where $a$ is the length of the edge of the cube.
$\Rightarrow 6 a^{2}=150$
$\Rightarrow a=\sqrt{\frac{150}{6}}=\sqrt{25}=5 \mathrm{~cm}$
$\therefore$ Volume $=a^{3}=5^{3}=125 \mathrm{~cm}^{3}$
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