have 151 volume and cut 1.5 in. on each side.

Question

 Sharon has a cake that measures 7.5in. wide, 13.5in long. 1.5in tall. She cut pieces of that cake that measure 1.5in on each side. How many pieces of cake does sharon have?

Answer 1

Total volume of cake is 7.5 x 13.5 x 1.5 = 151.875 cubic inches

 

Since all sides are the same of each cut piece, they must be cubes of volume (1.5)³ = 3.375

 

Divide total volume by piece volume to get number of pieces. 151.875/3.375 = 45 pieces