Integer cube

The length of the cube edge is an integer. Its volume is in cm3 a five-digit number divisible by 1331. What is the length of the edge of this cube.

Correct answer:

a =  22 cm

Step-by-step explanation:

V1=1 1331=1331 V2=2 1331=2662 V3=3 1331=3993 V4=4 1331=5324 V5=5 1331=6655 a5=V53=6655318.8097 V6=6 1331=7986 a6=V63=7986319.9883 V7=7 1331=9317 a7=V73=9317321.0422 V8=8 1331=10648 a8=V83=106483=22 V9=9 1331=11979 a=a8=22 cm

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