Question

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

Answer 1

175.42

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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