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A cubical water tank has an edge of 2 m. Taking litres, how much water does the full tank hold?

Class 8Cubes and Cube RootsCubes and Roots
  • A800 litres
  • B2000 litres
  • C6000 litres
  • D8000 litres

Step-by-Step Solution

Volume = , and litres. The option 6000 litres comes from , multiplying the edge by 3 instead of cubing it.
Answer: D) 8000 litres

Key idea: Squares vs cubes — what's different

Both are repeated multiplication, but with key differences:

- A square is non-negative: .
- A cube **keeps the sign**: . (Three negatives stay odd → still negative.)
- Squares grow more slowly than cubes: vs For square roots, only positive results (by convention). For cube roots, the sign matches the input: ∛.

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