Discussion
If the surface area of cube is 150 cm2. What is the volume of cube in cm3?
Answer: A
The volume is 125 cm3.
A cube has 6 equal square faces, so each face has area \(150 / 6 = 25\) cm2 and the edge is 5 cm:
\[ V = 5^{3} = 125\ \text{cm}^{3} \]
216 and 343 are the cubes of 6 and 7, the volumes of cubes with surface areas 216 and 294 cm2. 164 is not a perfect cube, so it cannot be the volume of a cube with a whole-number edge.
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