Multiple choice

What is the total surface area of a pyramid having a square base with side 8 cm and a slant height of 13 cm?

  1. 272 cm²

  2. 286 cm²

  3. 254 cm²

  4. 292 cm²
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A Correct answer
Explanation

Total surface area of a square pyramid = Base Area + 4 * (1/2 * base_side * slant_height). Area = 8^2 + 4 * (1/2 * 8 * 13) = 64 + 2 * 8 * 13 = 64 + 208 = 272.

AI explanation

The total surface area of a pyramid is the sum of its base area and its lateral surface area. The base area is the square of the side, so 8^2 = 64 cm2, and the lateral surface area is calculated as (1/2) * perimeter * slant height, giving (1/2) * (4 * 8) * 13 = 16 * 13 = 208 cm2. Adding these two areas together, 64 + 208 = 272 cm2.

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