A cube has edge length $4$. What is its volume?
A$12$
B$16$
C$48$
D$64$
Answer & Solution
Correct answer: D. $64$
A cube is a rectangular solid with $\ell = w = h = s$. So its volume is
$V = s^{3} = 4^{3} = 64$.
- Trap A ($12 = 4 \times 3$) treats the exponent as a coefficient.
- Trap B ($16 = 4^{2}$) is the area of one face — squared, not cubed.
- Trap C ($48$) is six times the area of a face — i.e. the **surface area** ($6 s^{2} = 6 \times 16 = 96$ — *not* what C shows; trap C is just an arithmetic distractor close to volumes seen elsewhere).
Mnemonic: a cube is *three-dimensional*, so the exponent is $3$.
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