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Two solid cubes have volumes 64 cubic cm and 1000 cubic cm.
Using cube roots found by prime factorisation, find the ratio of the edge of the smaller cube to the edge of the larger cube.

Class 8Cube Root by Prime FactorisationCubes and Roots
  • A2 : 5
  • B5 : 2
  • C4 : 10
  • D8 : 1000

Step-by-Step Solution

Edge of small = cube root 64 = 4. Edge of large = cube root 1000 = 10. Ratio 4 : 10 = 2 : 5 in lowest terms.
Answer: A) 2 : 5

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