Question

What fraction of the integers from
1
to
8000
inclusive are cubes?

Answer 1

Step-by-step explanation:

So the fraction of the integers from 1 to 8000 inclusive which are cubes is 20 8000 = 1 400 .

Answer 2

Concept:

A fraction is used to represent the portion or part of the whole thing.

Given:

Integers from 1 to 8000.

Find:

Fraction of integers which are cubes.

Solution:

The number of cubes present between 1 to 8000 will be:

$1^3=1\\ 2^3=8\\ \\3^3=27\\.\\ .\\.\\ 20^3=8000$

So, there are 20 cubes.

Now the fraction will be:

$\frac{20}{8000} \\ \\=\frac{1}{400}$

Therefore, the fraction of integers from 1 to 8000 inclusive that are cubes is $\frac{1}{400}$.

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