SOLUTION: Hello, Two square based similar pyramids A and B. A) slant height =16m Lateral Area= 320m sq B) Slant Height = 9.6 m Lateral Area ? What is the lateral area of B? Thanks for

Algebra ->  Surface-area -> SOLUTION: Hello, Two square based similar pyramids A and B. A) slant height =16m Lateral Area= 320m sq B) Slant Height = 9.6 m Lateral Area ? What is the lateral area of B? Thanks for       Log On


   

Question 1084261: Hello, Two square based similar pyramids A and B. A) slant height =16m Lateral Area= 320m sq B) Slant Height = 9.6 m Lateral Area ?
What is the lateral area of B?
Thanks for any help. Don't know why I can't get the right answer.
Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.
The similarity coefficient is  9.6%2F16 = 6%2F10 = 0.6  (the ratio of the smaller to the larger corresponding elements).


Therefore, the ratio of corresponding areas is 0.6%5E2 = 0.36.   Is it clear to you ?


If it is clear, then the lateral area of the smaller pyramid is 0.36 of the lateral area of the larger pyramid,

i.e. 0.36*320 = 115.2 square feet.