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total surface area = ? 3 in 11 in 12 in

Question

total surface area = ?
3 in
11 in
12 in

Explanation:

Step1: Recall surface area formula

The total surface area (SA) of a rectangular prism is given by:
$$SA = 2(lw + lh + wh)$$
where $l=11$ in, $w=3$ in, $h=12$ in.

Step2: Calculate each pair product

First compute $lw$, $lh$, $wh$:
$lw = 11 \times 3 = 33$
$lh = 11 \times 12 = 132$
$wh = 3 \times 12 = 36$

Step3: Sum the products

Add the three results:
$33 + 132 + 36 = 201$

Step4: Multiply by 2

Multiply the sum by 2 to get total SA:
$2 \times 201 = 402$

Answer:

402 square inches