The sum of the factors of what perfect cube is 400?

Cube root of 400 can be represented as 3√400. The value of cube root of one is 400. The nearest previous perfect cube is 343 and the nearest next perfect cube is 512.

343

Step-by-step explanation:

Let the perfect cube be x³.

The factors of this cube is 1, x, x², x³

According to question,

The sum of the factors should be equal to 400.

So,

1 + x + x² + x³ = 400

By using hit and trial method,

The value of x comes out be 7

So, the perfect cube whose factors have a sum of 400 is the cube of the number, 7 = 7³ = 343