Posted by **meepolo** on Monday, September 24, 2012 at 5:36pm.

Michal has 42 identical cubical blocks, each one with an edge of 1 cm. From all of these blocks, he built a rectangular prism with a base perimeter equal to 18 cm. What is the height of the prism which he built?

- MaTh -
**Scott**, Monday, September 24, 2012 at 8:02pm
the area of the base is a factor of 42

with a perimeter of 18, the possible block arrangements are __

8 X 1 __ area 8

7 X 2 __ area 14

6 X 3 __ area 18

5 X 4 __ area 20

14 is the only factor of 42, so the height must be 3

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