SOLUTION: A right prism has a square base and a lateral edge 8cm. Find the are of the base if the lateral area is 96 cm squared.

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Question 1116599: A right prism has a square base and a lateral edge 8cm. Find the are of the base if the lateral area is 96 cm squared.
Answer by ikleyn(52792) About Me  (Show Source):
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A right prism has a square base and a lateral edge 8cm. Find the highlight%28cross%28are%29%29 area of the base if the lateral area is 96 cm squared.
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Under given conditions, the prism has four lateral faces of equal area.


So, the area of each lateral face is  96%2F4 = 24 cm^2.


Then the base edge length is  24%2F8 = 3 cm,  and the base area is  3*3 = 9 cm^2.

Solved.