Find the cube of 89?

Option 3 : 704969

**Given:**

The given number = 89

**Concept:**

Calculation skills trick

**Calculation:**

**Step(1):**

Write down the cube of each of the digits in three digit format i.e. 8^{3} = 512 and 9^{3} = 729

The number obtained after this step is 512729**.**

**Step(2):**

Now multiply all the digit of the given number with themselves i.e. (8 × 9) = 72

**Step(3):**

Multiply the result obtained in **Step(2)** by the power 3 i.e. (72 × 3) = 216

**Step(4):**

Now multiply the result obtained in **Step(3) **with the given number i.e. (89 × 216) = 19224

**Step(5):**

Add the number obtained in **Step(1) **with the number obtained in **Step(4) **keeping the unit place empty i.e.

5 1 2 7 2 9

1 9 2 2 4 _

7 0 4 9 6 9

∴ Cube of 89 = 704969