Question

Find the smallest number that should be multiplied with 54000 to make it a perfect cube. (a) 4 (b) 27 (c) 5 (d) 3

Answer 1

Hope it helps you.
With regards@
Tanisha

Answer 2

Answer:

The correct option is a.

Step-by-step explanation:

The given number is 54000.

The factor form of 54000 is

$54000=2\times 2\times 2\times 2\times 3\times 3\times 3\times 5\times 5\times 5$

Now make pair of three equivalent factors.

$54000=(2\times 2\times 2)\times 2\times (3\times 3\times 3)\times (5\times 5\times 5)$

Here we can see that only 2 is alone, therefore we have to multiply 2×2 in the given expression to make it perfect cube.

$2\times 2=4$

We can multiply the given number by 4.

$\sqrt[3]{54000\times 4}=60$

It is a perfect cube. Therefore option a is correct.