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Cubes and Cube Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer:
Which of the following numbers is a perfect cube?
  • A
    121
  • B
    169
  • C
    196
  • ✓
    216
✓

Answer

Correct option: D.
216
216

Solution:

$121=11 \times 11$

$169=13 \times 13$

$196=7 \times 7 \times 2 \times 2$

$216=2 \times 2 \times 2 \times 3 \times 3 \times 3$

$=(2)^3 \times(3)^3$

$=(6)^3$

$216=(6)^3$

Hence, 216 is a perfect cube.

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