Michael made a cake, in the shape of a perfect cube, for 64 guests at a recent party. The inside of the cake was sponge, and he iced the cake with red icing. He of course did not ice the bottom of the cake.
Michael cut each side of the cake into four equal pieces, making a total of 64 pieces of cake. Each exactly the same size.
How many of the pieces of cake had at least 2 of their sides with icing?
Answers
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number of pieces with 2 sides iced = 20
number of pieces with 3 sides iced = 4
total = 20+4 = 24
pieces with atleast 2 sides iced is 24.
number of pieces with 3 sides iced = 4
total = 20+4 = 24
pieces with atleast 2 sides iced is 24.
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24 pieces of the cake had at least 2 of their sides with icing.
Explanation:
There are total 64 pieces in the cajke which means each side of the cake has 4 pieces to form a cube.
If he did not ice the bottom of the cake. So, only middle pieces are left of the surfaces that had iced from one face.
So, just take the pieces from the middle of each corner side except the bottom side. There are total 8 sides. Total no. of pieces are 16.
Add 4 pieces from upper corner and for from lower corner as they have two sides iced.
Total pieces are 16 + 4 + 4 = 24.
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