Posted by **brooke** on Tuesday, May 27, 2008 at 9:42pm.

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 -
**Reiny**, Tuesday, May 27, 2008 at 10:32pm
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

if you want to include the area of the base to your answer, add 6.3^2

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