Total Surface Area of a Square Pyramid
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3. A decorative pyramid has a square base with a side of $6 \text{ cm}$. Its slant height is $5 \text{ cm}$. What is the total surface area of the pyramid?
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Step by Step Written Solution
Hi Omar, let's solve this geometry problem together to find the surface area of a square pyramid.
Understanding the Problem
A square pyramid has a square base and four triangular faces. We are given the side length of the base as 6 centimeters and the slant height as 5 centimeters.
Base side $s = 6$ cm
Slant height $l = 5$ cm
First, let's calculate the area of the square base.
Step 1: Base Area
Six squared gives us 36 square centimeters for the base area.
Next, let's find the area of the four triangular sides, which is the lateral area.
Step 2: Lateral Area
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