The wooden

The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get?

Correct result:

x =  40

Solution:

a=12 cm b=24 cm c=30 cm  12=22⋅3 24=23⋅3 30=2⋅3⋅5 GCD(12,24,30)=2⋅3=6  d=GCD(a,b,c)=GCD(12,24,30)=6 cm  V=a⋅ b⋅ c=12⋅ 24⋅ 30=8640 cm3 V1=d3=63=216 cm3  x=V/V1=8640/216=40

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