A cube has surface area $96$ square units. What is its volume?
A$256$ cubic units
B$16$ cubic units
C$96$ cubic units
D$64$ cubic units
Answer & Solution
Correct answer: D. $64$ cubic units
A cube has $6$ equal square faces. Surface area $= 6 s^{2}$, so $6 s^{2} = 96 \Rightarrow s^{2} = 16 \Rightarrow s = 4$.
Volume $= s^{3} = 64$ cubic units.
- Trap A returns $s^{2} = 16$.
- Trap C confuses surface area with volume.
- Trap D returns $s^{4}$.
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