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) $430 \mathrm{~cm}^{2}$

Solution

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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Source: https://solvelyapp.com/problems/30486/

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