To find the lateral surface area of the given square pyramid.

Answer to Problem 12STP
yy 544 feet2
Explanation of Solution
Given:
Height of pyramid, 13
h=15 feet
Side of base of pyramid, a=16 feet
Formula used:
Lateral surface area of a square pyramid =12ps
where p= perimeter of base, s= slant height of the pyramid.
Slant height , s2=(h)2+(r)2 or s=√(h)2+(r)2
Calculation:
Since height of the pyramid is h=15 and edge of the base is a=16 ,
Therefore, slant height of the pyramid is given as
⇒(15)2+(8)2=s2
⇒225+64=s2⇒279=s2⇒s=√289⇒s=17
For the given pyramid,
Perimeter of base, p=4a
=4×16=64
Lateral surface area =12ps
=12×64×17=544
Conclusion:
Therefore, lateral surface area of the given pyramid is 544 feet2.
Chapter 12 Solutions
Glencoe Geometry
Additional Math Textbook Solutions
Introductory Statistics
Pre-Algebra Student Edition
Intro Stats, Books a la Carte Edition (5th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Elementary Statistics (13th Edition)
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