The pyramid is based on a square with a side of 8 cm, the apothem of the pyramid is 20 cm.

univerkov | September 23, 2021 | education

The pyramid is based on a square with a side of 8 cm, the apothem of the pyramid is 20 cm. Calculate the area of the lateral surface.

Since there is a square at the base of the pyramid, AB = BC = CD = AD = 8 cm.

The side faces of the pyramid are equilateral equal triangles.

The apothem of the pyramid is the height of the isosceles triangles at the side faces.

Then S side = 4 * Sdm = 4 * CD * MN / 2 = 4 * 8 * 20/2 = 320 cm2.

Answer: The area of the side surface of the pyramid is 320 cm2.

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