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ICSE-VIII-Mathematics

04: Cubes and Cube Roots Class 8 Maths

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    Section : A
  • #1-i
    7
    Ans : (7)3 = 7 × 7 × 7 = 343
  • #1-ii
    11
    Ans : (11)3 = 11 × 11 × 11 = 1331
  • #1-iii
    16
    Ans : (16)3 = 16 × 16 × 16 = 4096
  • #1-iv
    23
    Ans : (23)3 = 23 × 23 × 23 = 12167
  • #1-v
    31
    Ans : (31)3 = 31 × 31 × 31 = 29791
  • #1-vi
    42
    Ans : (42)3 = 42 × 42 × 42 = 74088
  • #1-vii
    54
    Ans : (54)3 = 54 × 54 × 54 = 157464
  • Qstn #2
    Find which of the following are perfect cubes:
  • #2-i
    243
    Ans : 243

    ∵ 243 = 3 × 3 × 3 × 3
    = (3 × 3 × 3) × 3
    = 33 × 3
    ∴ 297 is not a perfect cube.
  • #2-ii
    588
    Ans : 588

    588 = 2 × 2 × 7 × 7 × 3
    ∴ 588 is not a perfect cube.
  • #2-iii
    1331
    Ans : 1331

    ∵ 1331 = 11 × 11 × 11 = (11)3
    ∴ 1331 is perfect cube.
  • #2-iv
    24000
    Ans : 24000
    ∵ 24000 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5
    = (2)3 × (2)3 × (5)3 × 3
    ∴ 24000 is not a perfect cube.
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