Question

a cone of maxima size is carved out from a cube of edge 14cm . find the surface area of the remaining solid after the cone is carved out

Answer 1

we need to subtract CSA of cone from TSA of cube to get the surface area of required solid.

Answer 2

Remaining area of solid=tsa of cube-area of circular bease of cone+csa of cone
Since maximum size of cone that can be carved out of a cube have diameter similar to the edge of the cube and height is equal to 14cm
So radius of cone=14/2=7cm
6a^2-πr^2+πrl
6*14*14 - 22/7*7*7 +22/7*7*√14^2+7^2
1176-154+22*√225
1022+22*15
1022+330
1350cm^2