Multiple choice

What approximate value should come at place of question mark (?) in the following questions?(24^3 + 95^2 = ?^3 + 115^2)

  1. 16

  2. 19

  3. 21

  4. 24

  5. 13

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate: 24³ + 95² = 13,824 + 9,025 = 22,849. Also: ?³ + 115². So: ?³ = 22,849 - 13,225 = 9,624. Find cube root: 9,261 is 21³, which is very close to 9,624. Checking options: 16³ = 4,096 (too low), 19³ = 6,859 (too low), 21³ = 9,261 (closest), 24³ = 13,824 (too high). Answer 'C' (21) is correct.