Question

is 343 or 243 a perfect cube?​

Answer 1

343 is a perfect cube .

343 = 7³

Answer 2

The number 343 is a perfect cube.

Given,

Two numbers = 343 or 243.

To Find,

A perfect cube.

Solution,

Before solving the question, let's understand the concept of a perfect cube with an example.

An integer is called a cube number when multiplied three times by the same integer. In mathematics, cube numbers are also referred to as perfect cubes.

For example, 5 x 5 x 5 is 5³, or 125. A cube number can be thought of as a number multiplied three times by the same number or an exponential number.

Now, let's find the perfect cube.

= 343

On Prime factorizing the number, we get triplets

343 = 7 × 7 × 7

So, Yes, 343 is a perfect cube.

Whereas on prime factorizing 243

we haven't got any triplets

So, 243 is not a perfect cube.

The number 343 is a perfect cube.

#SPJ2