Cube of 1056
2026-02-28 10:14 Diff

The formula (a + b)³ is a binomial formula for finding the cube of a number.


The formula is expanded as:a³ + 3a²b + 3ab² + b³

Step 1:Split the number 1056 into two parts, such as 1000 and 56.
 

Let a = 1000 and b = 56, so a + b = 1056

Step 2:Now, apply the formula:
 

(a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3:Calculate each term:

a³ = 1000³ = 1,000,000,000

3a²b = 3 × 1000² × 56 = 3 × 1,000,000 × 56 = 168,000,000

3ab² = 3 × 1000 × 56² = 3 × 1000 × 3136 = 9,408,000

b³ = 56³ = 175,616

Step 4: Add all the terms together:
(1000 + 56)³ = 1000³ + 3 × 1000² × 56 + 3 × 1000 × 56² + 56³


1056³ = 1,000,000,000 + 168,000,000 + 9,408,000 + 175,616


1056³ = 1,178,095,616

Step 5:Hence, the cube of 1056 is 1,178,095,616.