Question

Find the surface area of the square pyramid below if the length of the sides of the base are 10 cm, and the slant height is 15 cm.

Answer 1

The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

Surface area

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

where,

• a = sides of base = 10 cm
• h = slant height = 15 cm

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

= 10² + 2(10)√10²/4 + 15²

= 100 + 20√100/4 + 225

= 100 + 20√25 + 225

= 100 + 20√250

= 100 + 20(15.81)

= 100 + 316.2

= 416.2 cm²

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