Question

The lateral surface area of square based prism is $384c{m}^2$ and its height is $12$cm. Find the side-length of its base.

Answer 1

Given: $h=12$cm; L.S.A$=385c{m}^2$. Let a be the side-length of its base. We know that L.S.A$=4ah$.
Hence $384=4\times a\times 12=48a$. This gives a$=8$cm.