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What is the lateral surface area of a square pyramid with side length 11.2 cm and slant height 20 cm?

Sagot :

 1. What is the lateral surface area of a square pyramid with side length 11.2 cm and slant height 20 cm? 
224 cm2 
448 cm2 
896 cm2 
2508.8 cm2 

1. 4 sides each 1/2 (11.2*20) 
= 448 

Answer: 448 square centimeters

Step-by-step explanation:

The lateral surface area of a square pyramid is given by :-

[tex]L=\dfrac{1}{2}Pl[/tex], where P is the perimeter of the base and l is the slant height.

Given: The slant height of the pyramid = 20 cm

Side length = 11.2 cm

The perimeter of the square pyramid =[tex]4(side)=4(11.2)=44.8\ cm[/tex]

Now, the lateral surface area of a square pyramid will be :-

[tex]L=\dfrac{1}{2}(44.8)(20)\\\\\Rightarrow\ L=448\ cm^2[/tex]