Answer
The Height is 4.
Work Step by Step
$2 \times ( 18 \times 8) + 2 \times (18 \times h) + 2 \times (8 \times h) = 496$
$288 + 36h + 16h = 496$
$52h = 208$
$h = \frac{208}{52} = 4$
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