ashtonfrench13
ashtonfrench13 ashtonfrench13
  • 25-10-2021
  • Mathematics
contestada

Find the surface area of the square pyramid. Round your answer to the nearest hundredth.
A. 175.42
B. 176.42
C. 185.42
D. 192.42

Respuesta :

rcd2tw46y6
rcd2tw46y6 rcd2tw46y6
  • 25-10-2021

Answer:

175.42

Step-by-step explanation:

 

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

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