A cube has a total surface area of 384 cm2. What is the volume of the cube?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 512 cm3
A cube has six equal square faces, so its total surface area is \(6a^{2}\); the edge \(a\) found from it gives the volume \(a^{3}\), the edge multiplied by itself three times.
Surface area: \(6a^{2}=384\), so \(a^{2}=64\) and the edge is \(a=8\) cm
Volume of the cube: \(8^{3}=\) 512 cm3