which of the following numbers is not a perfect cube? (a) 216 (b) 576 (c) 125 (d) 343
Answers
576 is not a perfect cube.
Step-by-step explanation:
A number is said to be a perfect cube if it can be expressed as a cube of an integer, or if the cube root (number raised to the power 1/3) is an integer.
Let's check the given numbers.
(a) 216 = 6^3
(b) 576 is not perfect cube
(c) 125 = 5^3
(d) 343 = 7^3
Cube root of 216 is 6.
Cube root of 125 is 5.
Cube root of 343 is 7.
However, cube root of 576 is 8.32 which is not an integer.
Hence 576 is not a perfect cube.
Option B is the answer.
The number 576 is not a perfect cube.
Given:
a) 216 (b) 576 (c) 125 (d) 343
To find:
which of the given numbers is not a perfect cube?
Solution:
Cube means we should multiply the number itself three times.
216 is the perfect cube of 6.
216 = 6 x 6 x 6
125 is the perfect cube of 5
125 = 5 x 5 x 5
343 is the perfect cube of 7.
343 = 7 x 7 x 7