if a^3b^3-27c^3 represented the volume of cuboid then what could be the dimension
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Answer:
1 × (ab-3c) × (a²b²+3abc+9c²)
Step-by-step explanation:
V=a^3b^3-27c^3 = lbh
where l=length, b=breadth & h=height
=(ab)³-(3c)³
=(ab-3c)[(ab)²+3abc+(3c)²]
=(ab-3c)(a²b²+3abc+9c²)
= 1 × (ab-3c) × (a²b²+3abc+9c²)
These are the three factors of the cuboid which can be assigned to l, b & h
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