# math

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if a square pyramid has a base side length of 6.3 m and a slant height of 4 m. find its surface area

• math -

Consider one of the four isosceles triangles.
drawing a line from the top vertex to the midpoint of the base gives you a right-angled triangle whose height can be found by

h^2 + 3.15^2 = 4^2
h = √6.0775

the surface area of the four triangles is then
4*(1/2)(6.3)51√6.0775
= 31.06

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