
To find:
The surface area of square pyramid.

Answer to Problem 2ACYP
The surface area of the pyramid is 179 cm2 .
Explanation of Solution
Given information:
Square pyramid with a height of 9 in. and a lateral height of 11 in. .
Calculation:
The surface area S of a regular pyramid is S=L+B .
L is denoted as the lateral area.
L=12Pl , where l is the slant height, P is the perimeter of the base and B is the area of the base.
Here, the height of 9 in. and the slant height is 11 in. .
First find the base of square using Pythagoras theorem.
c2=a2+b2
Substitute c=11 and a=9 in the above formula.
112=92+b2112−92=b2b=√112−92=√121−81=√40=6.32
L=12Pl=12[4(6.32)](11)=2⋅6.32⋅11=139.04
The surface area S of a regular pyramid is S=L+B .
S=139.04+(6.32)2=139.04+39.94=178.98≈179
Hence, the surface area of the pyramid is 179 cm2 .
Chapter 12 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Introductory Statistics
Algebra and Trigonometry (6th Edition)
A First Course in Probability (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
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