Cube containers

Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?

Correct answer:

c =  0.8996 dm

Step-by-step explanation:

a=0.8 dm b=0.6 dm  V1=a3=0.83=12564=0.512 dm3 V2=b3=0.63=12527=0.216 dm3  V=V1+V2=0.512+0.216=12591=0.728 dm3  V = c3 c=3V=30.728=0.8996 dm

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