SOLUTION: A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the surface area?

Algebra ->  Surface-area -> SOLUTION: A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the surface area?      Log On


   

Question 1134413: A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the surface area?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Slant height to the base edge of 10 units is  sqrt%2813%5E2%2B12%5E2%29 = 17.69 units long.



Slant height to the base edge of 24 units is  sqrt%2813%5E2%2B5%5E2%29 = 13.93 units long.



The lateral surface area is  %28%281%2F2%29%2A10%2A17.69+%2B+%281%2F2%29%2A24%2A13.93%29%2A2 = 511.22 square units.


To get the total surface area of the pyramid, add to it the area of the base  10*24 = 240 square units.