Question

find the number of 4 digit cubes


with step by step solution​

Answer 1

The largest 4 digit number = 9999. 22³ = 10648 it is greater than largest 4-digit number (9999). Hence, we can observe that 9261 is the largest 4-digit perfect cube.

Answer 2

Answer:

Complete step by step Answer:

Cube of a number is the number in its third power. Cube of a number n is defined as,

n3=n2×n=n×n×n.

A number is said to be a perfect cube; it can be expressed as the cube of an integer.

We can take the smallest number in the options and find its cube root. The smallest number in the

The option is 8000.

8000 can be factorized as follows,

8000=8×1000

We know that, 8 and 1000 are cubes of 2 and 10 respectively,

⇒8000=23×103

By laws of exponents, we can write,

⇒8000=(2×10)3

⇒8000=203