If the unit's digit of any number is even, then the cube of the number is ___.

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Solution

When we multiply any two even numbers we will get an even number as a product.
Let us look at the cubes of some numbers.
$2^{3}$ = 2 $\times$ 2 $\times$ 2 = 8
$4^{3}$ = 4 $\times$ 4 $\times$ 4 = 64
$6^{3}$ = 6 $\times$ 6 $\times$ 6 = 216

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State true or false.

(i) Cube of any odd number is even.

(ii) A perfect cube does not end with two zeroes.

(iii) If square of a number ends with 5, then its cube ends with 25.

(iv) There is no perfect cube which ends with 8.

(v) The cube of a two digit number may be a three digit number.

(vi) The cube of a two digit number may have seven or more digits.

(vii) The cube of a single digit number may be a single digit number.

If the unit digit of a number is 8, the unit digit of the cube of the number will be

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