lenlen cut a rectangular block of cheese into cubes with an edge of 3cm. each. the base area of the block is 36 square cm. if the block is 6 cm. high, how many cubes of cheese did lenlen get it all?

Answer 1

Each cut piece has a volume of 3^3 or 27 cm^3

Volume of whole chunk of cheese
= 36(6) or 216 cm^3

number of pieces = 216/27 = 8

or

since the base is 6 by 6, she can get 2 cuts along each dimension, so 4 from the base.
The height is 6, so she go 2 pieces high, for a total of 4x2 or 8

Answer 2

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