Don't make straight cuts.
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Well, honey, cutting a cake into 12 pieces is as easy as pie. Just make two cuts to create four equal pieces, then make three more cuts perpendicular to those to create a total of 12 slices. It's not rocket science, just grab a knife and get slicing!
45 minutes. He only has to make 9 cuts.
Cut a round cake in eight equal sized wedge shaped pieces with four vertical cuts, then make one horizontal cut through the center of the cake to equal sixteen pieces.It's slightly more tricky if you are only allowed to cut the horizontal cross-section of the cake (treat the cake as a circle). In this case, first divide the cake with one cut (2 pieces), then cut it again so that it intersects the first cut (4 pieces), then cut it a third time so that it intersects both cuts previously made, at different points (7 pieces), then let the fourth cut intersect all three cuts so far at different points (11 pieces), and let the fifth and final cut intersect all four cuts at different points (16 pieces total).
6 minutes 4 pieces = 3 cuts x 2 minutes each = 6 minutes
The fewest number of pieces he needs of each kind of sub sandwich to make them equal is three. He will need three pieces of each sub sandwich to make them equal. 3 pieces of turkey 3 pieces of roast beef 3 pieces of ham