Question 624374
the pyramid has a square base.
your dimensions are:
length of base is equal to 5 feet.
slant height is equal to 6 feet.
you want to find the surface area.
the slant height of the pyramid is the apothem which is the height of each triangular face.
you have all the information you need.
the area of the base is 5*5 = 25 square feet.
the area of one of the triangular faces of the pyramid is equal to 1/2 * 5 * 6 = 15.
multiply that by 4 and you get a total of 60 square feet for the triangular faces.
add all those together and you get a total surface area of 60 + 25 = 85 square feet.
a reference can be found here:
<a href = "http://mathworld.wolfram.com/SlantHeight.html" target = "_blank">http://mathworld.wolfram.com/SlantHeight.html</a>