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Question
surface areas of pyramids and cones
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find the surface area of a square pyramid with base edges of 5 cm and a slant height of 3 cm.
Step1: Calculate base area
Base is square: $5×5 = 25$ cm²
Step2: Calculate one triangular face area
Area of triangle: $\frac{1}{2}×5×3 = 7.5$ cm²
Step3: Calculate 4 triangular faces area
$4×7.5 = 30$ cm²
Step4: Sum base and lateral areas
$25 + 30 = 65$ cm²
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65 cm²