A rectangular solid has length $8.5$, width $5$, and height $10$. What is its total **surface area**?
A$135$
B$177.5$
C$355$
D$425$
Answer & Solution
Correct answer: C. $355$
A rectangular solid has $6$ rectangular faces, organised as $3$ pairs of identical faces. The total surface area is
$A = 2(\ell w + \ell h + w h)$.
Compute each pair:
- $\ell w = 8.5 \times 5 = 42.5$
- $\ell h = 8.5 \times 10 = 85$
- $w h = 5 \times 10 = 50$
Sum: $42.5 + 85 + 50 = 177.5$.
Double (because each face occurs in two opposite copies): $A = 2 \times 177.5 = 355$.
- Trap B ($177.5$) stops at the half-sum without doubling.
- Trap D ($425$) returns the **volume**.
- Trap A ($135 = 5 + 50 + 80$) miscombines dimensions.
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