What is the cube of 199 in long method

1.	What is the cube of 199 in long method
Answer» Step-by-step explanation: A CUBE is a three-dimensional shape with 6 equal SQUARE faces. Hence, a cube with side length 199 has an area of 7,880,599. The sum and the differences of two cubes, for example with side length 199 and 198, can be calculated with the following formulas: 1. a³ + b³ = ( a + B ) × ( a² - ab + b² ) ⇔ a³ = ( a + b ) × ( a²- ab + b² ) With a = 199, b = 198 and the equivalence we get: (199)³ = 397 X (199² – 199 × 198 + 198²) – 198³ = 397 x (39601 – 39402 + 39204) – 7762392 = 397 x 39403 – 7762392 = 7,880,599.

Answer»

Step-by-step explanation:

A CUBE is a three-dimensional shape with 6 equal SQUARE faces.

Hence, a cube with side length 199 has an area of 7,880,599.

The sum and the differences of two cubes, for example with side length 199 and 198, can be calculated with the following formulas:

1. a³ + b³ = ( a + B ) × ( a² - ab + b² )

⇔ a³ = ( a + b ) × ( a²- ab + b² )

With a = 199, b = 198 and the equivalence we get:

(199)³ = 397 X (199² – 199 × 198 + 198²) – 198³

= 397 x (39601 – 39402 + 39204) – 7762392

= 397 x 39403 – 7762392

= 7,880,599.

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