Problem

139. Find the surface area of the square pyramid if $s=12 \mathrm{~cm}$ and $h=8 \mathrm{~cm}$.
a) $60 \mathrm{~cm}^{2}$
b) $210 \mathrm{~cm}^{2}$
c) $240 \mathrm{~cm}^{2}$
d) $384 \mathrm{~cm}^{2}$
e) $430 \mathrm{~cm}^{2}$

Answer

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Answer

\boxed{384} cm^2 is the surface area of the square pyramid.

Steps

Step 1 :Given a square pyramid with base side length s = 12 cm and height h = 8 cm, we first find the slant height (l) using the Pythagorean theorem: \(l^2 = h^2 + (s/2)^2\)

Step 2 :Now, we calculate the surface area of the square pyramid using the formula: Surface Area = Base Area + 4 * (1/2 * base * slant height)

Step 3 :\boxed{384} cm^2 is the surface area of the square pyramid.

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