Cube-shaped 80585

Boxes with dimensions of 6 cm, 10 cm, and 15 cm should fit into a cube-shaped box. What are the smallest dimensions a box can have?
How many boxes of the given dimensions can fit in it?

Correct answer:

x =  30 cm
n =  30

Step-by-step explanation:

a=6 cm b=10 cm c=15 cm  6=23 10=25 15=35 LCM(6,10,15)=235=30  x=LCM(a,b,c)=LCM(6,10,15)=30 cm
V1=a b c=6 10 15=900 cm3 V2=x3=303=27000 cm3  n=V2/V1=27000/900=30



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