SOLUTION: The pyramid in the diagram below has a square base, 40 feet on each side. Its slant height is 160 feet. What is the surface area of the pyramid?

Question 753552: The pyramid in the diagram below has a square base, 40 feet on each side. Its slant height is 160 feet. What is the surface area of the pyramid?
Answer by malglu(63) (Show Source): You can put this solution on YOUR website!
The pyramid in the diagram below has a square base, 40 feet on each side. Its slant height is 160 feet. What is the surface area of the pyramid?
first you need the area of the base, which is 40foot * 40 foot. then you need to add this to 4 * the surface area of one of the sides. these sides are triangler in shape. the base is 40 foot and the two slanting sides are 160 feet. the area of a traingle is 1/2 * base * perpendicular height. use pythagurus's theorem to calculate the perpendicular height. 160 ^2 = 40 ^2 + x^2 (the perpendicular height)
25600 - 1600 = x^2
24000 = x^2
take roots of each side
x = 154.99 to 2 dp
now 1/2 * base (40) * 154.99 = 3098.39 to 2 dp
* 4 = 12393.55
+ 1600 (area of base) = 13993.55 squared feet to 2 dp

RELATED QUESTIONS
What is the total surface area of the Great Pyramid? . It has a square base that... (answered by checkley77)

The lateral surface area of a regular square pyramid is 240 m^2. If each side of its base (answered by ikleyn)

the feathered serpent pyramid has a square base that is 65m on each side . The pyramid is (answered by ikleyn)

The lateral surface area of a regular pyramid is 160 cm2 and the perimeter of the base is (answered by RAY100)

The lateral surface area of a regular pyramid is 160 cm2 and the perimeter of the base is (answered by RAY100,rfer)

The lateral surface area of a right square pyramid at the right in the figure above is... (answered by greenestamps)