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Answer :
The surface area ([tex]$SA$[/tex]) of a wooden pillar in the shape of a square prism is given by the formula
[tex]$$
SA = 2s^2 + 4sh,
$$[/tex]
where [tex]$s$[/tex] is the side length of the square base and [tex]$h$[/tex] is the height of the pillar.
1. First, calculate the square of the side length:
[tex]$$
s^2 = 4^2 = 16.
$$[/tex]
2. Next, compute the first term of the formula:
[tex]$$
2s^2 = 2 \times 16 = 32.
$$[/tex]
3. Then, compute the second term:
[tex]$$
4sh = 4 \times 4 \times 9 = 144.
$$[/tex]
4. Finally, add the two terms to find the total surface area:
[tex]$$
SA = 32 + 144 = 176 \text{ square inches}.
$$[/tex]
Thus, the surface area of the pillar is [tex]$\boxed{176}$[/tex] square inches.
[tex]$$
SA = 2s^2 + 4sh,
$$[/tex]
where [tex]$s$[/tex] is the side length of the square base and [tex]$h$[/tex] is the height of the pillar.
1. First, calculate the square of the side length:
[tex]$$
s^2 = 4^2 = 16.
$$[/tex]
2. Next, compute the first term of the formula:
[tex]$$
2s^2 = 2 \times 16 = 32.
$$[/tex]
3. Then, compute the second term:
[tex]$$
4sh = 4 \times 4 \times 9 = 144.
$$[/tex]
4. Finally, add the two terms to find the total surface area:
[tex]$$
SA = 32 + 144 = 176 \text{ square inches}.
$$[/tex]
Thus, the surface area of the pillar is [tex]$\boxed{176}$[/tex] square inches.
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